82.67/21.19 YES 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 17: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 77-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 4 0 1 -> 3 5 1 4 1 2 0 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.50 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.50 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.50 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.50 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.50 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.50 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.50 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.50 3 4 0 1 -> 0 3 1 4 1 , 83.78/21.50 3 4 1 1 -> 3 4 1 3 1 , 83.78/21.50 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.50 4 0 0 1 -> 4 0 0 3 1 , 83.78/21.50 4 3 0 1 -> 3 5 0 4 2 1 , 83.78/21.50 4 3 0 1 -> 3 1 4 2 5 5 2 0 , 83.78/21.50 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.50 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.50 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.50 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.50 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.50 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.50 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.50 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.50 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.50 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.50 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.50 2 3 4 1 1 -> 2 1 3 5 4 1 , 83.78/21.50 2 4 4 0 1 -> 4 5 2 1 4 5 5 0 , 83.78/21.50 3 0 4 0 1 -> 4 0 3 1 2 2 0 , 83.78/21.50 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.50 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.50 3 3 4 0 1 -> 3 5 0 3 1 2 4 1 , 83.78/21.50 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.50 3 4 3 0 1 -> 0 3 1 3 5 4 , 83.78/21.50 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.50 4 3 2 0 1 -> 3 1 2 2 4 0 , 83.78/21.50 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.50 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.50 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.50 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.50 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.50 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.50 2 0 4 4 1 1 -> 4 0 0 2 1 4 5 1 , 83.78/21.50 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.50 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.50 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.50 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.50 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.50 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.50 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.50 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.50 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.50 3 4 5 3 0 1 -> 5 1 0 3 2 5 3 4 , 83.78/21.50 4 0 1 3 0 1 -> 0 3 1 4 1 0 3 , 83.78/21.50 4 2 0 5 1 1 -> 3 5 0 2 1 4 2 1 , 83.78/21.50 4 3 0 1 0 4 -> 2 0 4 5 1 3 0 4 , 83.78/21.50 0 1 2 3 4 0 1 -> 2 0 4 5 1 3 1 0 , 83.78/21.50 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.50 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.50 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.50 2 4 5 0 3 0 1 -> 2 0 0 4 3 2 5 1 , 83.78/21.50 3 0 0 4 0 1 1 -> 3 2 1 0 0 0 4 1 , 83.78/21.50 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.50 4 0 3 2 0 0 1 -> 0 0 5 1 4 2 3 0 , 83.78/21.50 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 11: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 71-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 4 0 1 -> 3 5 1 4 1 2 0 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.50 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.50 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.50 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.50 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.50 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.50 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.50 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.50 3 4 0 1 -> 0 3 1 4 1 , 83.78/21.50 3 4 1 1 -> 3 4 1 3 1 , 83.78/21.50 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.50 4 0 0 1 -> 4 0 0 3 1 , 83.78/21.50 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.50 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.50 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.50 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.50 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.50 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.50 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.50 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.50 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.50 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.50 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.50 2 3 4 1 1 -> 2 1 3 5 4 1 , 83.78/21.50 2 4 4 0 1 -> 4 5 2 1 4 5 5 0 , 83.78/21.50 3 0 4 0 1 -> 4 0 3 1 2 2 0 , 83.78/21.50 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.50 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.50 3 3 4 0 1 -> 3 5 0 3 1 2 4 1 , 83.78/21.50 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.50 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.50 4 3 2 0 1 -> 3 1 2 2 4 0 , 83.78/21.50 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.50 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.50 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.50 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.50 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.50 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.50 2 0 4 4 1 1 -> 4 0 0 2 1 4 5 1 , 83.78/21.50 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.50 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.50 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.50 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.50 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.50 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.50 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.50 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.50 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.50 3 4 5 3 0 1 -> 5 1 0 3 2 5 3 4 , 83.78/21.50 4 2 0 5 1 1 -> 3 5 0 2 1 4 2 1 , 83.78/21.50 0 1 2 3 4 0 1 -> 2 0 4 5 1 3 1 0 , 83.78/21.50 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.50 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.50 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.50 3 0 0 4 0 1 1 -> 3 2 1 0 0 0 4 1 , 83.78/21.50 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.50 4 0 3 2 0 0 1 -> 0 0 5 1 4 2 3 0 , 83.78/21.50 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 13: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 70-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 4 0 1 -> 3 5 1 4 1 2 0 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.50 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.50 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.50 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.50 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.50 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.50 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.50 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.50 3 4 0 1 -> 0 3 1 4 1 , 83.78/21.50 3 4 1 1 -> 3 4 1 3 1 , 83.78/21.50 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.50 4 0 0 1 -> 4 0 0 3 1 , 83.78/21.50 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.50 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.50 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.50 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.50 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.50 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.50 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.50 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.50 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.50 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.50 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.50 2 3 4 1 1 -> 2 1 3 5 4 1 , 83.78/21.50 2 4 4 0 1 -> 4 5 2 1 4 5 5 0 , 83.78/21.50 3 0 4 0 1 -> 4 0 3 1 2 2 0 , 83.78/21.50 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.50 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.50 3 3 4 0 1 -> 3 5 0 3 1 2 4 1 , 83.78/21.50 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.50 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.50 4 3 2 0 1 -> 3 1 2 2 4 0 , 83.78/21.50 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.50 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.50 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.50 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.50 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.50 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.50 2 0 4 4 1 1 -> 4 0 0 2 1 4 5 1 , 83.78/21.50 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.50 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.50 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.50 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.50 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.50 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.50 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.50 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.50 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.50 4 2 0 5 1 1 -> 3 5 0 2 1 4 2 1 , 83.78/21.50 0 1 2 3 4 0 1 -> 2 0 4 5 1 3 1 0 , 83.78/21.50 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.50 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.50 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.50 3 0 0 4 0 1 1 -> 3 2 1 0 0 0 4 1 , 83.78/21.50 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.50 4 0 3 2 0 0 1 -> 0 0 5 1 4 2 3 0 , 83.78/21.50 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 12: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 69-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 4 0 1 -> 3 5 1 4 1 2 0 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.50 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.50 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.50 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.50 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.50 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.50 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.50 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.50 3 4 0 1 -> 0 3 1 4 1 , 83.78/21.50 3 4 1 1 -> 3 4 1 3 1 , 83.78/21.50 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.50 4 0 0 1 -> 4 0 0 3 1 , 83.78/21.50 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.50 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.50 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.50 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.50 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.50 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.50 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.50 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.50 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.50 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.50 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.50 2 3 4 1 1 -> 2 1 3 5 4 1 , 83.78/21.50 2 4 4 0 1 -> 4 5 2 1 4 5 5 0 , 83.78/21.50 3 0 4 0 1 -> 4 0 3 1 2 2 0 , 83.78/21.50 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.50 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.50 3 3 4 0 1 -> 3 5 0 3 1 2 4 1 , 83.78/21.50 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.50 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.50 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.50 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.50 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.50 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.50 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.50 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.50 2 0 4 4 1 1 -> 4 0 0 2 1 4 5 1 , 83.78/21.50 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.50 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.50 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.50 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.50 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.50 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.50 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.50 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.50 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.50 4 2 0 5 1 1 -> 3 5 0 2 1 4 2 1 , 83.78/21.50 0 1 2 3 4 0 1 -> 2 0 4 5 1 3 1 0 , 83.78/21.50 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.50 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.50 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.50 3 0 0 4 0 1 1 -> 3 2 1 0 0 0 4 1 , 83.78/21.50 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.50 4 0 3 2 0 0 1 -> 0 0 5 1 4 2 3 0 , 83.78/21.50 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 10: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 62-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.50 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.50 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.50 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.50 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.50 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.50 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.50 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.50 3 4 1 1 -> 3 4 1 3 1 , 83.78/21.50 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.50 4 0 0 1 -> 4 0 0 3 1 , 83.78/21.50 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.50 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.50 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.50 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.50 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.50 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.50 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.50 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.50 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.50 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.50 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.50 2 3 4 1 1 -> 2 1 3 5 4 1 , 83.78/21.50 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.50 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.50 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.50 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.50 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.50 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.50 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.50 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.50 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.50 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.50 2 0 4 4 1 1 -> 4 0 0 2 1 4 5 1 , 83.78/21.50 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.50 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.50 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.50 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.50 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.50 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.50 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.50 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.50 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.50 4 2 0 5 1 1 -> 3 5 0 2 1 4 2 1 , 83.78/21.50 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.50 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.50 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.50 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.50 4 0 3 2 0 0 1 -> 0 0 5 1 4 2 3 0 , 83.78/21.50 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 11: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 61-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.50 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.50 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.50 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.50 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.50 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.50 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.50 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.50 3 4 1 1 -> 3 4 1 3 1 , 83.78/21.50 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.50 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.50 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.50 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.50 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.50 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.50 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.50 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.50 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.50 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.50 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.50 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.50 2 3 4 1 1 -> 2 1 3 5 4 1 , 83.78/21.50 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.50 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.50 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.50 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.50 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.50 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.50 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.50 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.50 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.50 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.50 2 0 4 4 1 1 -> 4 0 0 2 1 4 5 1 , 83.78/21.50 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.50 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.50 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.50 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.50 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.50 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.50 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.50 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.50 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.50 4 2 0 5 1 1 -> 3 5 0 2 1 4 2 1 , 83.78/21.50 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.50 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.50 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.50 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.50 4 0 3 2 0 0 1 -> 0 0 5 1 4 2 3 0 , 83.78/21.50 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 13: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 60-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.50 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.50 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.50 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.50 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.50 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.50 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.50 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.50 3 4 1 1 -> 3 4 1 3 1 , 83.78/21.50 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.50 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.50 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.50 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.50 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.50 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.50 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.50 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.50 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.50 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.50 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.50 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.50 2 3 4 1 1 -> 2 1 3 5 4 1 , 83.78/21.50 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.50 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.50 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.50 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.50 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.50 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.50 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.50 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.50 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.50 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.50 2 0 4 4 1 1 -> 4 0 0 2 1 4 5 1 , 83.78/21.50 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.50 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.50 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.50 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.50 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.50 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.50 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.50 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.50 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.50 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.50 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.50 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.50 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.50 4 0 3 2 0 0 1 -> 0 0 5 1 4 2 3 0 , 83.78/21.50 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 14: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 59-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.50 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.50 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.50 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.50 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.50 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.50 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.50 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.50 3 4 1 1 -> 3 4 1 3 1 , 83.78/21.50 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.50 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.50 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.50 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.50 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.50 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.50 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.50 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.50 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.50 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.50 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.50 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.50 2 3 4 1 1 -> 2 1 3 5 4 1 , 83.78/21.50 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.50 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.50 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.50 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.50 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.50 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.50 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.50 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.50 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.50 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.50 2 0 4 4 1 1 -> 4 0 0 2 1 4 5 1 , 83.78/21.50 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.50 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.50 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.50 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.50 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.50 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.50 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.50 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.50 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.50 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.50 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.50 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.50 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.50 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.50 83.78/21.50 83.78/21.50 The system was filtered by the following matrix interpretation 83.78/21.50 of type E_J with J = {1,...,2} and dimension 11: 83.78/21.50 83.78/21.50 0 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 1 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 2 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 3 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 4 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 1 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 5 is interpreted by 83.78/21.50 / \ 83.78/21.50 | 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 | 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.50 \ / 83.78/21.50 83.78/21.50 Remains to prove termination of the 56-rule system 83.78/21.50 { 0 1 0 -> 0 2 1 0 , 83.78/21.50 0 1 1 -> 0 3 1 4 1 , 83.78/21.50 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.50 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.50 0 1 4 -> 0 5 1 4 5 , 83.78/21.50 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.50 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.50 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.50 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.50 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.50 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.50 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.50 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.51 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.51 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.51 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.51 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 3 4 2 2 0 1 -> 3 2 2 3 1 4 5 0 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 13: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 55-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.51 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.51 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.51 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.51 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 3 2 4 5 1 0 1 -> 1 3 5 2 1 4 1 0 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 8: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 1 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 54-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.51 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 3 2 3 1 1 -> 3 5 1 3 2 1 , 83.78/21.51 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.51 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.51 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 6: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 53-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.51 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.51 3 4 2 0 1 -> 0 3 1 4 2 1 , 83.78/21.51 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 6: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 52-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.51 3 3 1 1 -> 5 3 5 1 3 2 2 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.51 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 8: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 1 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 51-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 0 1 0 -> 3 1 2 2 0 0 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 3 3 0 1 0 -> 3 2 5 2 1 3 0 0 , 83.78/21.51 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 5: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 49-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 0 3 4 1 -> 4 3 0 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 3 0 5 4 1 -> 3 2 1 0 4 5 0 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 5: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 1 0 1 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 47-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 1 1 -> 2 0 5 1 4 1 0 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 1 1 -> 0 0 0 3 5 1 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 4 0 1 1 4 -> 4 0 1 3 1 4 5 5 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 0 1 1 1 -> 3 1 4 1 0 2 5 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 5: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 1 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 43-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 0 2 0 1 -> 0 0 0 3 2 1 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 6: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 1 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 42-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 2 5 3 1 1 -> 3 0 2 1 3 5 1 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 7: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 41-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 0 2 1 1 1 -> 5 1 0 4 1 0 2 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 10: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 1 0 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 1 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 1 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 40-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 0 1 3 0 -> 0 3 1 0 5 0 5 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 17: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 39-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 , 83.78/21.51 4 3 0 5 0 1 4 -> 5 0 4 1 0 3 1 4 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 8: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 1 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 38-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 0 2 5 0 -> 3 2 5 0 0 3 1 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 12: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 1 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 37-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 3 4 1 2 5 0 -> 4 4 5 0 3 2 1 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 7: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 1 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 1 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 1 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 0 0 0 | 83.78/21.51 | 0 1 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 | 0 0 0 0 0 0 1 | 83.78/21.51 | 0 0 0 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 36-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 1 -> 0 3 1 4 1 , 83.78/21.51 0 1 1 -> 0 5 1 3 2 5 1 , 83.78/21.51 0 1 1 -> 3 5 5 1 0 2 1 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 1 0 -> 2 1 0 3 1 0 , 83.78/21.51 0 1 1 4 -> 3 1 4 1 0 3 5 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 0 1 1 -> 2 0 2 1 3 1 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 2 4 1 1 -> 2 4 2 1 4 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 1 1 3 4 -> 0 5 4 1 3 1 , 83.78/21.51 0 1 1 3 4 -> 4 1 0 3 5 5 2 1 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 1 1 2 5 4 -> 0 2 3 1 4 5 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 2 3 4 5 4 1 1 -> 2 1 3 4 3 5 4 1 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 } 83.78/21.51 83.78/21.51 83.78/21.51 The system was filtered by the following matrix interpretation 83.78/21.51 of type E_J with J = {1,...,2} and dimension 4: 83.78/21.51 83.78/21.51 0 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 | 83.78/21.51 | 0 1 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 1 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 | 83.78/21.51 | 0 1 0 0 | 83.78/21.51 | 0 0 0 1 | 83.78/21.51 | 0 1 0 0 | 83.78/21.51 \ / 83.78/21.51 2 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 | 83.78/21.51 | 0 1 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 3 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 | 83.78/21.51 | 0 1 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 4 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 1 0 | 83.78/21.51 | 0 1 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 5 is interpreted by 83.78/21.51 / \ 83.78/21.51 | 1 0 0 0 | 83.78/21.51 | 0 1 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 | 0 0 0 0 | 83.78/21.51 \ / 83.78/21.51 83.78/21.51 Remains to prove termination of the 25-rule system 83.78/21.51 { 0 1 0 -> 0 2 1 0 , 83.78/21.51 0 1 4 -> 0 5 1 4 5 , 83.78/21.51 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 83.78/21.51 0 1 3 0 -> 0 0 3 2 1 , 83.78/21.51 0 1 3 4 -> 3 1 4 2 5 0 5 , 83.78/21.51 0 1 4 0 -> 0 5 0 4 1 3 1 , 83.78/21.51 2 0 1 0 -> 2 0 5 1 0 , 83.78/21.51 2 3 1 1 -> 2 3 1 4 1 , 83.78/21.51 2 3 1 1 -> 3 1 3 2 1 , 83.78/21.51 3 4 5 4 -> 5 1 4 1 4 5 3 , 83.78/21.51 4 3 1 1 -> 4 3 1 3 1 , 83.78/21.51 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 83.78/21.51 0 1 2 5 4 -> 3 2 1 0 4 5 , 83.78/21.51 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 83.78/21.51 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 83.78/21.51 2 2 3 1 1 -> 3 2 2 1 4 1 , 83.78/21.51 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 83.78/21.51 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 83.78/21.51 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 83.78/21.51 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 83.78/21.51 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 83.78/21.51 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 83.78/21.51 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 83.78/21.51 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 83.78/21.51 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 5: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 1 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 1 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 1 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 24-rule system 84.00/21.52 { 0 1 0 -> 0 2 1 0 , 84.00/21.52 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 0 -> 0 0 3 2 1 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 0 1 0 -> 2 0 5 1 0 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 1 2 5 4 -> 3 2 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 84.00/21.52 2 2 3 1 1 -> 3 2 2 1 4 1 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 2 3 2 3 0 1 -> 2 3 5 1 3 1 2 0 , 84.00/21.52 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 84.00/21.52 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 84.00/21.52 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 7: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 23-rule system 84.00/21.52 { 0 1 0 -> 0 2 1 0 , 84.00/21.52 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 0 -> 0 0 3 2 1 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 0 1 0 -> 2 0 5 1 0 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 1 2 5 4 -> 3 2 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 84.00/21.52 2 2 3 1 1 -> 3 2 2 1 4 1 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 84.00/21.52 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 , 84.00/21.52 2 4 3 4 2 1 1 -> 2 5 1 2 4 4 3 1 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 8: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 22-rule system 84.00/21.52 { 0 1 0 -> 0 2 1 0 , 84.00/21.52 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 0 -> 0 0 3 2 1 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 0 1 0 -> 2 0 5 1 0 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 1 2 5 4 -> 3 2 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 84.00/21.52 2 2 3 1 1 -> 3 2 2 1 4 1 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 2 3 4 1 0 1 -> 3 3 2 1 4 5 1 0 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 84.00/21.52 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 7: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 21-rule system 84.00/21.52 { 0 1 0 -> 0 2 1 0 , 84.00/21.52 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 0 -> 0 0 3 2 1 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 0 1 0 -> 2 0 5 1 0 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 1 2 5 4 -> 3 2 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 2 0 1 4 1 -> 5 5 1 0 4 2 1 , 84.00/21.52 2 2 3 1 1 -> 3 2 2 1 4 1 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 84.00/21.52 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 6: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 20-rule system 84.00/21.52 { 0 1 0 -> 0 2 1 0 , 84.00/21.52 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 0 -> 0 0 3 2 1 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 0 1 0 -> 2 0 5 1 0 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 1 2 5 4 -> 3 2 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 2 2 3 1 1 -> 3 2 2 1 4 1 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 84.00/21.52 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 7: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 1 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 17-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 0 -> 0 0 3 2 1 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 2 2 3 1 1 -> 3 2 2 1 4 1 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 , 84.00/21.52 2 4 0 2 1 0 1 -> 0 2 2 1 4 5 0 1 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 8: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 16-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 0 -> 0 0 3 2 1 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 2 2 3 1 1 -> 3 2 2 1 4 1 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 13: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 15-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 2 2 3 1 1 -> 3 2 2 1 4 1 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 12: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 1 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 14-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 2 2 3 1 0 1 -> 0 2 5 2 1 3 1 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 10: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 1 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 13-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 0 1 4 0 -> 0 5 0 4 1 3 1 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 10: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 12-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 2 3 1 1 -> 2 3 1 4 1 , 84.00/21.52 2 3 1 1 -> 3 1 3 2 1 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 5: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 10-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 1 5 1 4 0 -> 0 5 1 4 2 1 0 5 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 12: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 9-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 , 84.00/21.52 3 3 1 4 0 0 -> 4 0 3 1 3 5 0 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 7: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 8-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 0 3 4 -> 0 3 2 1 4 5 5 0 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 0 0 3 4 -> 0 0 3 1 0 4 5 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 10: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 6-rule system 84.00/21.52 { 0 1 4 -> 0 5 1 4 5 , 84.00/21.52 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 9: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 5-rule system 84.00/21.52 { 0 1 3 4 -> 3 1 4 2 5 0 5 , 84.00/21.52 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 10: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 4-rule system 84.00/21.52 { 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 5 5 0 1 -> 0 5 5 5 1 0 2 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 6: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 3-rule system 84.00/21.52 { 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 , 84.00/21.52 3 0 5 2 5 4 -> 4 3 5 2 1 0 5 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 7: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 1 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 2-rule system 84.00/21.52 { 3 4 5 4 -> 5 1 4 1 4 5 3 , 84.00/21.52 0 5 5 3 3 4 -> 3 5 5 0 4 5 5 3 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 7: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 0 0 | 84.00/21.52 | 0 0 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 1 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 1-rule system 84.00/21.52 { 3 4 5 4 -> 5 1 4 1 4 5 3 } 84.00/21.52 84.00/21.52 84.00/21.52 The system was filtered by the following matrix interpretation 84.00/21.52 of type E_J with J = {1,...,2} and dimension 5: 84.00/21.52 84.00/21.52 0 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 1 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 2 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 3 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 4 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 1 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 1 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 \ / 84.00/21.52 5 is interpreted by 84.00/21.52 / \ 84.00/21.52 | 1 0 0 0 0 | 84.00/21.52 | 0 1 0 0 0 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 | 0 0 0 0 1 | 84.00/21.52 | 0 0 0 0 0 | 84.00/21.52 \ / 84.00/21.52 84.00/21.52 Remains to prove termination of the 0-rule system 84.00/21.52 { } 84.00/21.52 84.00/21.52 84.00/21.52 The system is trivially terminating. 89.39/23.38 EOF