22.28/5.93 YES 23.16/6.15 23.16/6.15 23.16/6.15 The system was filtered by the following matrix interpretation 23.16/6.15 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.15 23.16/6.15 0 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 1 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 1 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 2 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 3 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 1 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 4 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 5 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 1 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 23.16/6.15 Remains to prove termination of the 53-rule system 23.16/6.15 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.15 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.15 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.15 3 4 5 3 4 -> 3 5 0 2 1 1 1 2 1 4 , 23.16/6.15 4 3 4 3 4 -> 2 1 1 1 4 1 2 4 2 0 , 23.16/6.15 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.15 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.15 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.15 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.15 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.15 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.15 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.15 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.15 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.15 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.15 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.15 3 0 4 3 3 4 -> 2 3 0 3 5 1 2 4 2 4 , 23.16/6.15 3 2 3 3 0 4 -> 5 4 2 2 0 0 4 2 4 4 , 23.16/6.15 3 3 5 4 3 4 -> 0 5 1 1 0 4 0 2 4 4 , 23.16/6.15 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.15 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.15 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.15 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.15 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.15 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.15 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.15 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.15 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.15 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.15 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.15 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.15 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.15 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.15 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.15 3 2 5 2 1 3 4 -> 0 2 1 3 1 2 1 4 2 2 , 23.16/6.15 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.15 3 3 1 5 0 3 4 -> 2 0 0 5 1 2 1 4 1 4 , 23.16/6.15 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.15 3 4 3 3 4 3 5 -> 5 1 1 1 1 1 4 2 3 3 , 23.16/6.15 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.15 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.15 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.15 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.15 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.15 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.15 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.15 4 5 4 3 4 1 0 -> 1 4 1 1 2 4 0 1 2 0 , 23.16/6.15 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.15 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.15 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 , 23.16/6.15 5 4 3 4 3 1 5 -> 0 2 0 0 0 0 4 1 5 0 , 23.16/6.15 5 5 3 3 3 5 4 -> 0 3 5 2 2 1 0 4 2 2 , 23.16/6.15 5 5 4 5 3 5 5 -> 5 2 4 2 2 2 4 1 5 2 } 23.16/6.15 23.16/6.15 23.16/6.15 The system was filtered by the following matrix interpretation 23.16/6.15 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.15 23.16/6.15 0 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 1 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 1 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 2 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 1 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 3 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 1 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 4 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 5 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 23.16/6.15 Remains to prove termination of the 52-rule system 23.16/6.15 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.15 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.15 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.15 3 4 5 3 4 -> 3 5 0 2 1 1 1 2 1 4 , 23.16/6.15 4 3 4 3 4 -> 2 1 1 1 4 1 2 4 2 0 , 23.16/6.15 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.15 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.15 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.15 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.15 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.15 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.15 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.15 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.15 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.15 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.15 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.15 3 0 4 3 3 4 -> 2 3 0 3 5 1 2 4 2 4 , 23.16/6.15 3 2 3 3 0 4 -> 5 4 2 2 0 0 4 2 4 4 , 23.16/6.15 3 3 5 4 3 4 -> 0 5 1 1 0 4 0 2 4 4 , 23.16/6.15 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.15 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.15 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.15 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.15 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.15 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.15 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.15 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.15 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.15 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.15 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.15 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.15 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.15 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.15 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.15 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.15 3 3 1 5 0 3 4 -> 2 0 0 5 1 2 1 4 1 4 , 23.16/6.15 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.15 3 4 3 3 4 3 5 -> 5 1 1 1 1 1 4 2 3 3 , 23.16/6.15 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.15 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.15 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.15 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.15 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.15 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.15 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.15 4 5 4 3 4 1 0 -> 1 4 1 1 2 4 0 1 2 0 , 23.16/6.15 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.15 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.15 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 , 23.16/6.15 5 4 3 4 3 1 5 -> 0 2 0 0 0 0 4 1 5 0 , 23.16/6.15 5 5 3 3 3 5 4 -> 0 3 5 2 2 1 0 4 2 2 , 23.16/6.15 5 5 4 5 3 5 5 -> 5 2 4 2 2 2 4 1 5 2 } 23.16/6.15 23.16/6.15 23.16/6.15 The system was filtered by the following matrix interpretation 23.16/6.15 of type E_J with J = {1,...,2} and dimension 7: 23.16/6.15 23.16/6.15 0 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 1 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 1 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 2 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 3 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 1 0 0 | 23.16/6.15 | 0 0 0 0 0 1 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 4 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 5 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 23.16/6.15 Remains to prove termination of the 51-rule system 23.16/6.15 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.15 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.15 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.15 3 4 5 3 4 -> 3 5 0 2 1 1 1 2 1 4 , 23.16/6.15 4 3 4 3 4 -> 2 1 1 1 4 1 2 4 2 0 , 23.16/6.15 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.15 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.15 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.15 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.15 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.15 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.15 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.15 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.15 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.15 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.15 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.15 3 0 4 3 3 4 -> 2 3 0 3 5 1 2 4 2 4 , 23.16/6.15 3 3 5 4 3 4 -> 0 5 1 1 0 4 0 2 4 4 , 23.16/6.15 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.15 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.15 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.15 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.15 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.15 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.15 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.15 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.15 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.15 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.15 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.15 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.15 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.15 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.15 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.15 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.15 3 3 1 5 0 3 4 -> 2 0 0 5 1 2 1 4 1 4 , 23.16/6.15 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.15 3 4 3 3 4 3 5 -> 5 1 1 1 1 1 4 2 3 3 , 23.16/6.15 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.15 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.15 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.15 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.15 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.15 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.15 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.15 4 5 4 3 4 1 0 -> 1 4 1 1 2 4 0 1 2 0 , 23.16/6.15 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.15 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.15 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 , 23.16/6.15 5 4 3 4 3 1 5 -> 0 2 0 0 0 0 4 1 5 0 , 23.16/6.15 5 5 3 3 3 5 4 -> 0 3 5 2 2 1 0 4 2 2 , 23.16/6.15 5 5 4 5 3 5 5 -> 5 2 4 2 2 2 4 1 5 2 } 23.16/6.15 23.16/6.15 23.16/6.15 The system was filtered by the following matrix interpretation 23.16/6.15 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.15 23.16/6.15 0 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 1 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 2 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 3 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 1 0 0 | 23.16/6.15 | 0 0 0 0 0 0 1 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 4 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 5 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 1 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 23.16/6.15 Remains to prove termination of the 50-rule system 23.16/6.15 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.15 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.15 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.15 3 4 5 3 4 -> 3 5 0 2 1 1 1 2 1 4 , 23.16/6.15 4 3 4 3 4 -> 2 1 1 1 4 1 2 4 2 0 , 23.16/6.15 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.15 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.15 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.15 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.15 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.15 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.15 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.15 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.15 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.15 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.15 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.15 3 0 4 3 3 4 -> 2 3 0 3 5 1 2 4 2 4 , 23.16/6.15 3 3 5 4 3 4 -> 0 5 1 1 0 4 0 2 4 4 , 23.16/6.15 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.15 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.15 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.15 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.15 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.15 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.15 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.15 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.15 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.15 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.15 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.15 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.15 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.15 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.15 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.15 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.15 3 3 1 5 0 3 4 -> 2 0 0 5 1 2 1 4 1 4 , 23.16/6.15 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.15 3 4 3 3 4 3 5 -> 5 1 1 1 1 1 4 2 3 3 , 23.16/6.15 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.15 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.15 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.15 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.15 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.15 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.15 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.15 4 5 4 3 4 1 0 -> 1 4 1 1 2 4 0 1 2 0 , 23.16/6.15 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.15 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.15 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 , 23.16/6.15 5 4 3 4 3 1 5 -> 0 2 0 0 0 0 4 1 5 0 , 23.16/6.15 5 5 4 5 3 5 5 -> 5 2 4 2 2 2 4 1 5 2 } 23.16/6.15 23.16/6.15 23.16/6.15 The system was filtered by the following matrix interpretation 23.16/6.15 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.15 23.16/6.15 0 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 1 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 2 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 1 | 23.16/6.15 \ / 23.16/6.15 3 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 1 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 4 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 5 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 1 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 1 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 23.16/6.15 Remains to prove termination of the 49-rule system 23.16/6.15 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.15 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.15 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.15 3 4 5 3 4 -> 3 5 0 2 1 1 1 2 1 4 , 23.16/6.15 4 3 4 3 4 -> 2 1 1 1 4 1 2 4 2 0 , 23.16/6.15 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.15 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.15 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.15 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.15 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.15 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.15 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.15 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.15 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.15 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.15 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.15 3 0 4 3 3 4 -> 2 3 0 3 5 1 2 4 2 4 , 23.16/6.15 3 3 5 4 3 4 -> 0 5 1 1 0 4 0 2 4 4 , 23.16/6.15 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.15 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.15 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.15 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.15 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.15 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.15 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.15 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.15 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.15 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.15 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.15 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.15 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.15 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.15 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.15 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.15 3 3 1 5 0 3 4 -> 2 0 0 5 1 2 1 4 1 4 , 23.16/6.15 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.15 3 4 3 3 4 3 5 -> 5 1 1 1 1 1 4 2 3 3 , 23.16/6.15 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.15 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.15 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.15 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.15 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.15 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.15 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.15 4 5 4 3 4 1 0 -> 1 4 1 1 2 4 0 1 2 0 , 23.16/6.15 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.15 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.15 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 , 23.16/6.15 5 4 3 4 3 1 5 -> 0 2 0 0 0 0 4 1 5 0 } 23.16/6.15 23.16/6.15 23.16/6.15 The system was filtered by the following matrix interpretation 23.16/6.15 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.15 23.16/6.15 0 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 1 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 1 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 2 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 3 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 1 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 4 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 5 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 1 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 23.16/6.15 Remains to prove termination of the 48-rule system 23.16/6.15 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.15 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.15 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.15 3 4 5 3 4 -> 3 5 0 2 1 1 1 2 1 4 , 23.16/6.15 4 3 4 3 4 -> 2 1 1 1 4 1 2 4 2 0 , 23.16/6.15 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.15 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.15 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.15 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.15 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.15 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.15 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.15 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.15 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.15 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.15 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.15 3 0 4 3 3 4 -> 2 3 0 3 5 1 2 4 2 4 , 23.16/6.15 3 3 5 4 3 4 -> 0 5 1 1 0 4 0 2 4 4 , 23.16/6.15 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.15 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.15 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.15 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.15 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.15 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.15 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.15 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.15 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.15 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.15 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.15 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.15 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.15 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.15 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.15 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.15 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.15 3 4 3 3 4 3 5 -> 5 1 1 1 1 1 4 2 3 3 , 23.16/6.15 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.15 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.15 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.15 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.15 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.15 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.15 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.15 4 5 4 3 4 1 0 -> 1 4 1 1 2 4 0 1 2 0 , 23.16/6.15 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.15 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.15 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 , 23.16/6.15 5 4 3 4 3 1 5 -> 0 2 0 0 0 0 4 1 5 0 } 23.16/6.15 23.16/6.15 23.16/6.15 The system was filtered by the following matrix interpretation 23.16/6.15 of type E_J with J = {1,...,2} and dimension 7: 23.16/6.15 23.16/6.15 0 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 1 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 2 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 3 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 1 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 4 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 1 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 5 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 1 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 1 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 23.16/6.15 Remains to prove termination of the 47-rule system 23.16/6.15 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.15 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.15 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.15 3 4 5 3 4 -> 3 5 0 2 1 1 1 2 1 4 , 23.16/6.15 4 3 4 3 4 -> 2 1 1 1 4 1 2 4 2 0 , 23.16/6.15 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.15 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.15 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.15 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.15 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.15 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.15 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.15 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.15 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.15 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.15 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.15 3 0 4 3 3 4 -> 2 3 0 3 5 1 2 4 2 4 , 23.16/6.15 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.15 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.15 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.15 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.15 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.15 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.15 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.15 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.15 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.15 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.15 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.15 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.15 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.15 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.15 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.15 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.15 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.15 3 4 3 3 4 3 5 -> 5 1 1 1 1 1 4 2 3 3 , 23.16/6.15 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.15 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.15 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.15 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.15 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.15 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.15 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.15 4 5 4 3 4 1 0 -> 1 4 1 1 2 4 0 1 2 0 , 23.16/6.15 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.15 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.15 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 , 23.16/6.15 5 4 3 4 3 1 5 -> 0 2 0 0 0 0 4 1 5 0 } 23.16/6.15 23.16/6.15 23.16/6.15 The system was filtered by the following matrix interpretation 23.16/6.15 of type E_J with J = {1,...,2} and dimension 13: 23.16/6.15 23.16/6.15 0 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 1 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 2 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 3 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 4 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 \ / 23.16/6.15 5 is interpreted by 23.16/6.15 / \ 23.16/6.15 | 1 0 1 0 0 0 0 1 0 0 0 0 0 | 23.16/6.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 46-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.16 3 4 5 3 4 -> 3 5 0 2 1 1 1 2 1 4 , 23.16/6.16 4 3 4 3 4 -> 2 1 1 1 4 1 2 4 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.16 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.16 3 4 3 3 4 3 5 -> 5 1 1 1 1 1 4 2 3 3 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.16 4 5 4 3 4 1 0 -> 1 4 1 1 2 4 0 1 2 0 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 , 23.16/6.16 5 4 3 4 3 1 5 -> 0 2 0 0 0 0 4 1 5 0 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 6: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 1 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 1 1 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 41-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.16 3 3 3 5 2 4 5 -> 3 1 0 0 1 4 2 2 0 5 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 40-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 0 4 4 3 4 5 -> 1 2 2 4 3 2 2 2 0 4 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 39-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 0 5 3 4 5 -> 1 1 1 0 5 4 0 2 4 5 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 14: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 38-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 4 5 3 4 1 4 5 -> 4 5 4 0 2 0 1 2 1 0 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 1 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 37-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 3 1 3 1 3 3 -> 1 2 1 3 0 5 5 1 2 1 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 13: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 36-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 1 5 1 5 4 -> 1 0 0 2 2 0 5 2 2 4 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 6: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 35-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 3 2 4 5 4 -> 1 1 0 3 0 0 0 0 3 4 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 14: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 34-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 3 1 3 3 -> 5 1 1 4 2 4 3 3 4 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 13: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 33-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 1 5 0 5 5 3 -> 2 1 1 1 1 2 1 3 5 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 1 5 5 5 3 2 1 -> 1 4 1 4 2 1 3 0 1 1 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 7: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 31-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 3 4 3 4 4 3 2 -> 2 5 4 5 3 4 2 4 4 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 30-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 1 5 2 5 1 5 2 -> 1 2 3 0 2 3 0 1 0 2 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 29-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 , 23.16/6.16 5 4 3 2 3 1 3 -> 0 0 0 2 3 0 2 5 4 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 28-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 0 1 0 1 4 -> 1 0 2 4 5 4 2 4 2 4 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 12: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 27-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 , 23.16/6.16 5 3 4 4 3 1 2 -> 5 1 0 5 0 3 5 1 1 1 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 1 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 26-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 1 3 3 -> 1 2 4 2 0 2 1 0 2 5 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 7: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 25-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 1 3 1 5 2 3 -> 1 4 3 2 1 0 0 2 4 3 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.16 of type E_J with J = {1,...,2} and dimension 7: 23.16/6.16 23.16/6.16 0 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 1 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 1 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 1 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 2 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 1 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 3 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 1 0 0 0 | 23.16/6.16 | 0 0 1 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 4 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 0 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 5 is interpreted by 23.16/6.16 / \ 23.16/6.16 | 1 0 0 1 0 0 0 | 23.16/6.16 | 0 1 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 1 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 | 0 0 0 0 0 0 0 | 23.16/6.16 \ / 23.16/6.16 23.16/6.16 Remains to prove termination of the 24-rule system 23.16/6.16 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.16 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.16 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.16 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.16 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.16 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.16 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.16 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.16 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.16 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.16 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.16 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.16 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.16 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.16 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.16 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.16 1 3 3 4 5 2 5 -> 1 1 1 4 5 1 2 5 2 4 , 23.16/6.16 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.16 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.16 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.16 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.16 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.16 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.16 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 } 23.16/6.16 23.16/6.16 23.16/6.16 The system was filtered by the following matrix interpretation 23.16/6.17 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.17 23.16/6.17 0 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 1 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 2 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 1 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 3 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 1 0 0 0 0 | 23.16/6.17 | 0 0 1 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 4 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 1 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 5 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 1 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 23.16/6.17 Remains to prove termination of the 23-rule system 23.16/6.17 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.17 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.17 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.17 1 1 3 4 1 5 -> 1 1 0 0 2 2 5 2 0 0 , 23.16/6.17 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.17 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.17 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.17 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.17 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.17 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.17 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.17 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.17 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.17 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.17 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.17 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.17 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.17 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.17 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.17 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.17 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.17 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.17 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 } 23.16/6.17 23.16/6.17 23.16/6.17 The system was filtered by the following matrix interpretation 23.16/6.17 of type E_J with J = {1,...,2} and dimension 7: 23.16/6.17 23.16/6.17 0 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 1 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 1 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 2 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 3 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 1 0 0 | 23.16/6.17 | 0 0 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 4 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 1 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 5 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 23.16/6.17 Remains to prove termination of the 22-rule system 23.16/6.17 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.17 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.17 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.17 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.17 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.17 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.17 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.17 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.17 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.17 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.17 4 2 1 0 2 5 -> 4 2 5 4 2 2 2 4 2 5 , 23.16/6.17 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.17 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.17 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.17 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.17 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.17 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.17 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.17 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.17 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.17 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.17 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 } 23.16/6.17 23.16/6.17 23.16/6.17 The system was filtered by the following matrix interpretation 23.16/6.17 of type E_J with J = {1,...,2} and dimension 7: 23.16/6.17 23.16/6.17 0 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 1 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 1 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 1 0 0 0 0 | 23.16/6.17 | 0 0 0 0 1 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 2 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 1 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 3 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 4 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 5 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 23.16/6.17 Remains to prove termination of the 21-rule system 23.16/6.17 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.17 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.17 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.17 2 1 3 1 5 5 -> 1 1 2 2 0 5 0 0 2 2 , 23.16/6.17 2 2 4 3 4 5 -> 2 0 1 4 0 0 2 0 0 0 , 23.16/6.17 2 3 1 0 3 4 -> 0 0 1 1 5 2 4 1 1 4 , 23.16/6.17 2 3 3 4 1 5 -> 0 0 2 4 4 2 0 4 1 3 , 23.16/6.17 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.17 3 5 4 2 1 0 -> 2 5 0 0 0 0 0 4 4 0 , 23.16/6.17 4 1 3 4 3 1 -> 4 2 5 0 1 0 0 0 4 4 , 23.16/6.17 4 3 3 5 1 1 -> 4 4 2 4 4 2 5 0 1 2 , 23.16/6.17 5 4 0 1 3 0 -> 0 2 4 2 2 1 2 0 0 0 , 23.16/6.17 0 4 1 5 5 3 5 -> 0 2 2 0 1 2 5 2 5 0 , 23.16/6.17 0 4 4 3 4 1 3 -> 0 4 2 4 1 3 2 0 2 2 , 23.16/6.17 2 1 2 3 1 3 3 -> 2 1 4 1 5 1 1 1 1 1 , 23.16/6.17 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 , 23.16/6.17 3 1 3 1 5 4 1 -> 0 1 2 2 5 5 5 4 2 0 , 23.16/6.17 4 1 3 4 1 0 2 -> 4 4 1 5 1 2 1 4 2 2 , 23.16/6.17 4 5 0 4 1 3 1 -> 1 1 1 2 0 0 4 4 5 1 , 23.16/6.17 4 5 0 5 3 2 1 -> 1 1 4 1 3 0 2 4 2 1 , 23.16/6.17 4 5 3 1 4 4 3 -> 4 5 5 5 4 2 4 4 2 3 } 23.16/6.17 23.16/6.17 23.16/6.17 The system was filtered by the following matrix interpretation 23.16/6.17 of type E_J with J = {1,...,2} and dimension 2: 23.16/6.17 23.16/6.17 0 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 1 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 2 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 3 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 3 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 4 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 5 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 1 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 23.16/6.17 Remains to prove termination of the 5-rule system 23.16/6.17 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.17 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.17 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.17 2 5 0 5 5 1 -> 3 0 1 4 4 0 0 0 0 1 , 23.16/6.17 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 } 23.16/6.17 23.16/6.17 23.16/6.17 The system was filtered by the following matrix interpretation 23.16/6.17 of type E_J with J = {1,...,2} and dimension 2: 23.16/6.17 23.16/6.17 0 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 1 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 2 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 3 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 4 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 5 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 1 | 23.16/6.17 | 0 1 | 23.16/6.17 \ / 23.16/6.17 23.16/6.17 Remains to prove termination of the 4-rule system 23.16/6.17 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.17 0 3 4 4 -> 0 0 0 3 1 1 4 2 2 0 , 23.16/6.17 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.17 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 } 23.16/6.17 23.16/6.17 23.16/6.17 The system was filtered by the following matrix interpretation 23.16/6.17 of type E_J with J = {1,...,2} and dimension 5: 23.16/6.17 23.16/6.17 0 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 1 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 2 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 3 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 1 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 4 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 1 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 \ / 23.16/6.17 5 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 23.16/6.17 Remains to prove termination of the 3-rule system 23.16/6.17 { 0 1 0 1 -> 0 1 1 1 0 0 1 2 2 2 , 23.16/6.17 5 0 1 0 1 -> 5 0 2 0 1 1 4 2 1 2 , 23.16/6.17 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 } 23.16/6.17 23.16/6.17 23.16/6.17 The system was filtered by the following matrix interpretation 23.16/6.17 of type E_J with J = {1,...,2} and dimension 5: 23.16/6.17 23.16/6.17 0 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 1 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 1 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 1 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 \ / 23.16/6.17 2 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 3 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 \ / 23.16/6.17 4 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 5 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 23.16/6.17 Remains to prove termination of the 1-rule system 23.16/6.17 { 3 0 2 1 3 2 1 -> 1 2 0 0 3 3 4 2 2 1 } 23.16/6.17 23.16/6.17 23.16/6.17 The system was filtered by the following matrix interpretation 23.16/6.17 of type E_J with J = {1,...,2} and dimension 8: 23.16/6.17 23.16/6.17 0 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 1 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 1 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 1 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 2 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 1 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 1 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 3 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 1 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 1 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 4 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 5 is interpreted by 23.16/6.17 / \ 23.16/6.17 | 1 0 0 0 0 0 0 0 | 23.16/6.17 | 0 1 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 | 0 0 0 0 0 0 0 0 | 23.16/6.17 \ / 23.16/6.17 23.16/6.17 Remains to prove termination of the 0-rule system 23.16/6.17 { } 23.16/6.17 23.16/6.17 23.16/6.17 The system is trivially terminating. 26.14/7.30 EOF