328.73/83.42 YES 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 14: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 1 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 41-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 2 3 3 2 4 -> 2 1 2 5 0 1 0 5 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 5 0 5 2 5 2 -> 5 4 2 4 4 3 4 5 0 0 , 329.91/83.65 5 2 5 2 2 5 -> 4 4 5 5 1 0 5 2 1 2 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 1 4 2 1 4 -> 3 5 4 2 3 0 1 1 5 5 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 2 5 0 0 3 0 -> 4 3 4 1 2 2 0 2 5 4 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 0 4 4 5 0 -> 4 2 1 1 3 4 4 0 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 2 0 5 0 -> 5 1 2 4 0 0 1 5 1 0 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 , 329.91/83.65 5 3 3 2 1 5 5 -> 1 3 5 0 2 1 2 0 2 3 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 14: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 1 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 40-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 2 3 3 2 4 -> 2 1 2 5 0 1 0 5 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 5 0 5 2 5 2 -> 5 4 2 4 4 3 4 5 0 0 , 329.91/83.65 5 2 5 2 2 5 -> 4 4 5 5 1 0 5 2 1 2 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 2 5 0 0 3 0 -> 4 3 4 1 2 2 0 2 5 4 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 0 4 4 5 0 -> 4 2 1 1 3 4 4 0 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 2 0 5 0 -> 5 1 2 4 0 0 1 5 1 0 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 , 329.91/83.65 5 3 3 2 1 5 5 -> 1 3 5 0 2 1 2 0 2 3 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 14: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 39-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 2 3 3 2 4 -> 2 1 2 5 0 1 0 5 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 5 0 5 2 5 2 -> 5 4 2 4 4 3 4 5 0 0 , 329.91/83.65 5 2 5 2 2 5 -> 4 4 5 5 1 0 5 2 1 2 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 2 5 0 0 3 0 -> 4 3 4 1 2 2 0 2 5 4 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 0 4 4 5 0 -> 4 2 1 1 3 4 4 0 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 2 0 5 0 -> 5 1 2 4 0 0 1 5 1 0 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 12: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 38-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 2 3 3 2 4 -> 2 1 2 5 0 1 0 5 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 5 0 5 2 5 2 -> 5 4 2 4 4 3 4 5 0 0 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 2 5 0 0 3 0 -> 4 3 4 1 2 2 0 2 5 4 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 0 4 4 5 0 -> 4 2 1 1 3 4 4 0 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 2 0 5 0 -> 5 1 2 4 0 0 1 5 1 0 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 13: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 37-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 2 3 3 2 4 -> 2 1 2 5 0 1 0 5 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 5 0 5 2 5 2 -> 5 4 2 4 4 3 4 5 0 0 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 2 5 0 0 3 0 -> 4 3 4 1 2 2 0 2 5 4 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 0 4 4 5 0 -> 4 2 1 1 3 4 4 0 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 8: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 1 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 1 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 36-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 2 3 3 2 4 -> 2 1 2 5 0 1 0 5 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 5 0 5 2 5 2 -> 5 4 2 4 4 3 4 5 0 0 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 0 4 4 5 0 -> 4 2 1 1 3 4 4 0 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 10: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 35-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 5 0 5 2 5 2 -> 5 4 2 4 4 3 4 5 0 0 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 0 4 4 5 0 -> 4 2 1 1 3 4 4 0 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 12: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 1 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 1 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 34-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 0 4 4 5 0 -> 4 2 1 1 3 4 4 0 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 13: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 33-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 0 3 1 5 0 -> 4 0 0 4 0 5 4 4 1 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 13: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 32-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 , 329.91/83.65 5 1 4 2 0 5 2 -> 4 0 5 1 0 4 4 0 4 2 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 13: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 1 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 31-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 1 3 0 5 2 -> 2 4 4 1 5 3 4 4 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 14: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 30-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.65 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.65 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.65 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.65 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.65 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.65 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.65 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.65 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.65 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.65 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.65 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.65 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.65 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.65 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.65 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.65 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.65 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.65 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.65 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.65 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.65 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.65 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.65 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.65 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.65 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.65 3 3 5 2 2 5 2 -> 3 0 1 0 5 1 5 5 4 2 , 329.91/83.65 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.65 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.65 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 } 329.91/83.65 329.91/83.65 329.91/83.65 The system was filtered by the following matrix interpretation 329.91/83.65 of type E_J with J = {1,...,2} and dimension 8: 329.91/83.65 329.91/83.65 3 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 1 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 1 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 0 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 2 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 1 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 1 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 1 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 | 329.91/83.65 \ / 329.91/83.65 5 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 1 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 1 0 1 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 1 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 4 is interpreted by 329.91/83.65 / \ 329.91/83.65 | 1 0 0 0 0 0 0 0 | 329.91/83.65 | 0 1 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 | 0 0 0 0 0 0 1 0 | 329.91/83.65 | 0 0 0 0 0 0 0 0 | 329.91/83.65 \ / 329.91/83.65 329.91/83.65 Remains to prove termination of the 29-rule system 329.91/83.65 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.66 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.66 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 1 5 1 3 2 -> 1 1 5 3 5 1 2 4 1 5 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.66 1 0 3 2 1 3 2 -> 1 1 1 1 5 5 3 5 1 5 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.66 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.66 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.66 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.66 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 7: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 | 329.91/83.66 | 0 0 0 0 0 0 1 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 1 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 1 1 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 27-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 5 1 5 -> 4 4 1 0 0 3 4 1 0 2 , 329.91/83.66 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.66 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.66 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.66 4 2 1 5 1 5 0 -> 4 4 5 4 0 2 3 4 5 0 , 329.91/83.66 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.66 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 4: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 1 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 25-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.66 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 0 5 2 0 4 3 0 -> 1 1 1 2 4 3 3 4 5 4 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.66 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.66 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.66 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 8: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 24-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.66 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.66 3 1 4 2 3 0 0 -> 1 0 3 4 3 3 4 2 4 1 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.66 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.66 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 14: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 23-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.66 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.66 5 0 3 0 5 0 1 -> 5 1 3 3 4 5 3 0 4 1 , 329.91/83.66 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 14: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 22-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.66 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 , 329.91/83.66 5 0 3 3 2 2 0 -> 4 2 2 2 2 5 3 5 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 14: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 21-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.66 3 1 0 0 -> 3 5 5 3 5 0 0 0 0 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 2 4 4 3 1 0 0 -> 2 4 2 1 3 5 4 4 0 1 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 11: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 19-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 5 0 0 -> 2 3 0 3 5 2 2 3 4 1 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 11: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 18-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 3 2 0 3 0 0 -> 3 4 1 3 4 0 2 0 4 1 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 13: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 17-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 0 2 0 0 -> 2 0 0 2 5 4 1 1 2 1 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 13: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 1 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 16-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 2 1 5 5 0 1 1 -> 0 1 2 3 4 4 3 3 4 0 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 8: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 15-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 2 0 1 4 5 2 0 -> 2 2 1 0 0 0 3 3 4 4 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 13: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 14-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 0 3 0 0 -> 4 3 5 2 4 1 2 1 2 0 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 11: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 13-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 2 4 5 2 5 4 -> 2 4 1 0 0 4 4 3 5 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 7: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 12-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 0 0 2 2 5 0 -> 0 2 5 3 4 0 1 2 5 0 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 13: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 11-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 1 5 2 5 3 1 -> 2 5 4 1 1 0 2 5 3 2 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 7: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 1 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 10-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 2 2 4 5 2 5 -> 2 2 4 3 5 4 5 5 2 5 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 7: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 9-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 , 329.91/83.66 3 2 2 2 2 4 2 -> 3 1 3 0 1 1 4 2 1 0 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 8: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 1 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 8-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 0 5 2 4 2 5 -> 0 2 0 4 2 1 2 1 3 3 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 8: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 7-rule system 329.91/83.66 { 3 3 0 -> 3 0 2 1 0 0 1 2 1 0 , 329.91/83.66 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 4: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 1 1 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 | 329.91/83.66 | 0 1 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 | 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 6-rule system 329.91/83.66 { 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 , 329.91/83.66 0 5 2 0 3 2 2 -> 2 1 2 4 3 5 2 2 2 2 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 8: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 1 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 0 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 1 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 1 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 2 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 1 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 1 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 1 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 5 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 1 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 4 is interpreted by 329.91/83.66 / \ 329.91/83.66 | 1 0 0 0 0 0 0 0 | 329.91/83.66 | 0 1 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 | 0 0 0 0 0 0 0 0 | 329.91/83.66 \ / 329.91/83.66 329.91/83.66 Remains to prove termination of the 5-rule system 329.91/83.66 { 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.66 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.66 1 3 2 2 5 2 -> 1 3 5 2 4 5 2 3 4 4 , 329.91/83.66 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.66 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 } 329.91/83.66 329.91/83.66 329.91/83.66 The system was filtered by the following matrix interpretation 329.91/83.66 of type E_J with J = {1,...,2} and dimension 7: 329.91/83.66 329.91/83.66 3 is interpreted by 329.91/83.66 / \ 329.91/83.67 | 1 0 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 | 0 0 0 1 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 0 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 2 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 1 0 0 | 329.91/83.67 | 0 0 0 0 0 1 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 1 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 1 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 5 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 1 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 4 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 329.91/83.67 Remains to prove termination of the 4-rule system 329.91/83.67 { 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.67 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 , 329.91/83.67 4 5 2 3 1 2 -> 4 4 4 0 1 2 4 2 0 2 , 329.91/83.67 4 5 2 5 3 2 -> 4 1 3 4 3 2 4 4 0 2 } 329.91/83.67 329.91/83.67 329.91/83.67 The system was filtered by the following matrix interpretation 329.91/83.67 of type E_J with J = {1,...,2} and dimension 2: 329.91/83.67 329.91/83.67 3 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 0 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 2 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 1 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 5 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 1 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 4 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 329.91/83.67 Remains to prove termination of the 2-rule system 329.91/83.67 { 0 2 2 5 5 -> 2 5 4 3 0 4 1 3 5 4 , 329.91/83.67 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 } 329.91/83.67 329.91/83.67 329.91/83.67 The system was filtered by the following matrix interpretation 329.91/83.67 of type E_J with J = {1,...,2} and dimension 6: 329.91/83.67 329.91/83.67 3 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 0 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 1 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 2 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 | 329.91/83.67 | 0 0 0 1 0 0 | 329.91/83.67 | 0 0 0 0 1 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 1 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 5 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 1 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 1 | 329.91/83.67 | 0 1 0 0 0 0 | 329.91/83.67 \ / 329.91/83.67 4 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 0 0 0 0 | 329.91/83.67 | 0 1 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 0 | 329.91/83.67 | 0 0 0 0 0 1 | 329.91/83.67 \ / 329.91/83.67 329.91/83.67 Remains to prove termination of the 1-rule system 329.91/83.67 { 4 5 2 5 2 -> 5 2 1 1 1 0 2 5 0 2 } 329.91/83.67 329.91/83.67 329.91/83.67 The system was filtered by the following matrix interpretation 329.91/83.67 of type E_J with J = {1,...,2} and dimension 2: 329.91/83.67 329.91/83.67 3 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 0 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 2 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 1 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 5 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 0 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 4 is interpreted by 329.91/83.67 / \ 329.91/83.67 | 1 1 | 329.91/83.67 | 0 1 | 329.91/83.67 \ / 329.91/83.67 329.91/83.67 Remains to prove termination of the 0-rule system 329.91/83.67 { } 329.91/83.67 329.91/83.67 329.91/83.67 The system is trivially terminating. 764.92/300.09 EOF