57.68/14.87 YES 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 7: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 1 1 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 51-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 1 3 5 3 1 1 -> 0 0 3 3 2 2 2 5 1 1 , 59.10/15.25 0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 4 2 2 5 -> 5 5 1 2 3 0 3 2 1 5 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 2 3 5 1 0 5 -> 1 1 2 1 1 2 4 3 3 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 1 4 0 4 0 -> 0 5 5 5 4 4 3 4 0 0 , 59.10/15.25 5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 20: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 50-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 4 2 2 5 -> 5 5 1 2 3 0 3 2 1 5 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 2 3 5 1 0 5 -> 1 1 2 1 1 2 4 3 3 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 1 4 0 4 0 -> 0 5 5 5 4 4 3 4 0 0 , 59.10/15.25 5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 14: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 49-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 0 5 4 0 2 0 -> 0 3 4 3 3 3 0 3 1 1 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 4 2 2 5 -> 5 5 1 2 3 0 3 2 1 5 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 1 4 0 4 0 -> 0 5 5 5 4 4 3 4 0 0 , 59.10/15.25 5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 12: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 1 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 48-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 4 2 2 5 -> 5 5 1 2 3 0 3 2 1 5 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 1 4 0 4 0 -> 0 5 5 5 4 4 3 4 0 0 , 59.10/15.25 5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 1 1 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 47-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 1 4 0 4 0 -> 0 5 5 5 4 4 3 4 0 0 , 59.10/15.25 5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 1 1 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 46-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 5 1 5 3 0 0 -> 0 5 3 4 3 3 3 0 0 3 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 1 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 45-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 0 5 1 5 1 -> 0 1 4 4 3 4 4 3 2 1 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 0 1 5 1 -> 3 4 3 1 2 2 5 1 3 3 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 12: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 1 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 43-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 5 2 1 1 0 -> 5 0 3 4 5 0 2 2 5 0 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 59.10/15.25 Remains to prove termination of the 42-rule system 59.10/15.25 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.25 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.25 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.25 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.25 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.25 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.25 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.25 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.25 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.25 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.25 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.25 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.25 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.25 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.25 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.25 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.25 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.25 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.25 5 3 0 0 2 0 -> 4 1 4 2 4 4 3 2 4 0 , 59.10/15.25 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.25 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.25 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.25 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.25 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.25 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.25 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.25 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.25 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.25 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.25 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.25 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.25 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.25 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.25 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.25 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.25 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.25 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.25 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.25 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.25 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.25 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.25 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.25 59.10/15.25 59.10/15.25 The system was filtered by the following matrix interpretation 59.10/15.25 of type E_J with J = {1,...,2} and dimension 12: 59.10/15.25 59.10/15.25 1 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 5 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 4 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 0 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 3 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 \ / 59.10/15.25 2 is interpreted by 59.10/15.25 / \ 59.10/15.25 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.25 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 41-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.26 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.26 5 3 0 3 5 2 0 -> 4 3 1 2 4 1 1 2 2 4 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.26 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 13: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 40-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.26 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 2 3 0 5 2 0 -> 5 5 3 3 3 2 4 3 5 5 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.26 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 13: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 39-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.26 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 2 5 5 3 5 1 1 -> 2 1 2 5 0 0 0 3 4 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.26 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 1 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 38-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.26 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 , 59.10/15.26 5 5 0 1 5 3 5 -> 1 4 1 2 4 4 0 3 2 5 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 1 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 37-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.26 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 0 2 5 4 0 0 -> 3 5 2 3 2 3 2 2 4 0 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 13: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 1 1 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 36-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.26 4 0 5 2 0 0 -> 3 2 2 0 2 3 3 0 5 0 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 18: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 35-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 0 3 1 5 3 0 -> 2 0 0 3 4 2 4 1 2 4 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 1 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 34-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 3 1 0 3 0 5 -> 2 0 3 2 3 2 2 0 4 5 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 12: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 1 0 0 0 1 1 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 1 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 33-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 0 5 1 0 5 2 -> 2 4 3 2 1 3 4 1 4 4 , 59.10/15.26 1 0 3 0 5 2 -> 3 3 4 2 4 1 2 1 4 4 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 7: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 1 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 1 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 31-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 4 5 1 5 2 1 0 -> 3 5 1 4 3 3 2 5 3 4 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 1 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 30-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 0 4 0 0 1 0 -> 2 2 0 4 1 3 5 1 4 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 29-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 1 0 5 5 0 1 -> 4 1 0 2 3 4 0 5 0 2 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 28-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 4 1 1 0 -> 4 1 2 4 3 2 3 1 1 0 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 1 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 27-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 5 1 0 5 4 1 -> 5 3 3 3 3 4 3 2 3 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 7: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 26-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 5 2 1 5 -> 3 4 3 2 2 2 2 4 4 5 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 6: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 1 0 0 | 59.10/15.26 | 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 25-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 3 5 3 0 0 5 2 -> 2 2 2 4 1 2 0 4 1 1 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.10/15.26 The system was filtered by the following matrix interpretation 59.10/15.26 of type E_J with J = {1,...,2} and dimension 8: 59.10/15.26 59.10/15.26 1 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 5 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 1 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 1 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 4 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 0 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 1 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 1 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 1 0 | 59.10/15.26 \ / 59.10/15.26 3 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 1 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 1 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 2 is interpreted by 59.10/15.26 / \ 59.10/15.26 | 1 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 0 0 0 0 0 0 0 | 59.10/15.26 | 0 1 0 0 0 0 0 0 | 59.10/15.26 \ / 59.10/15.26 59.10/15.26 Remains to prove termination of the 24-rule system 59.10/15.26 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.10/15.26 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.10/15.26 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.10/15.26 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.10/15.26 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.10/15.26 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.10/15.26 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.10/15.26 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.10/15.26 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.10/15.26 3 1 0 0 4 2 -> 3 4 2 0 1 2 4 3 2 2 , 59.10/15.26 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.10/15.26 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.10/15.26 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.10/15.26 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.10/15.26 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.10/15.26 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.10/15.26 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.10/15.26 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.10/15.26 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.10/15.26 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.10/15.26 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.10/15.26 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.10/15.26 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.10/15.26 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.10/15.26 59.10/15.26 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 7: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 23-rule system 59.16/15.27 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.16/15.27 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.16/15.27 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.16/15.27 0 5 3 5 1 0 3 -> 2 3 3 3 0 0 1 1 1 3 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.16/15.27 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.16/15.27 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.16/15.27 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 22-rule system 59.16/15.27 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.16/15.27 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.16/15.27 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 3 5 1 1 4 0 -> 4 1 3 4 4 4 3 3 5 5 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.16/15.27 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.16/15.27 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.16/15.27 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 21-rule system 59.16/15.27 { 1 5 4 0 -> 3 3 2 3 1 4 4 4 3 4 , 59.16/15.27 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 1 5 4 0 1 -> 1 3 2 3 5 4 4 4 5 1 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.16/15.27 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.16/15.27 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.16/15.27 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.16/15.27 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 5: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 | 59.16/15.27 | 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 | 59.16/15.27 | 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 0 1 0 1 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 | 59.16/15.27 | 0 1 0 0 0 | 59.16/15.27 | 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 | 59.16/15.27 | 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 19-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 4 5 2 5 1 4 -> 4 1 1 5 5 1 2 4 1 4 , 59.16/15.27 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.16/15.27 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.16/15.27 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.16/15.27 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 7: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 1 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 18-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.16/15.27 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.16/15.27 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 , 59.16/15.27 5 3 5 4 2 5 3 -> 5 5 2 3 3 0 5 5 5 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 17-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.16/15.27 2 3 5 3 5 0 1 -> 3 2 3 2 1 5 2 4 1 1 , 59.16/15.27 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 1 1 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 16-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 , 59.16/15.27 5 1 5 5 2 1 3 -> 0 1 0 3 3 2 3 2 1 3 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 15-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 5 1 0 1 0 3 -> 5 0 2 3 2 1 4 3 0 1 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 7: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 14-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 1 5 5 3 0 -> 3 2 4 0 5 1 2 3 2 4 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 13-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 0 1 3 0 -> 4 4 2 0 3 3 4 2 0 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 7: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 1 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 12-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 1 5 1 1 3 0 -> 1 3 2 1 4 2 0 2 2 0 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 7: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 1 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 11-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 1 5 0 0 1 0 -> 3 3 3 3 2 3 0 1 1 5 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 7: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 10-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 1 5 3 5 5 4 0 -> 4 4 3 5 4 2 2 2 2 1 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 9-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 0 5 3 5 3 -> 4 4 5 5 0 0 0 0 1 1 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 8-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 2 3 1 0 -> 1 3 3 3 2 5 0 2 2 0 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 7: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 7-rule system 59.16/15.27 { 1 0 2 5 3 -> 4 3 4 0 5 4 4 4 4 3 , 59.16/15.27 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 6: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 6-rule system 59.16/15.27 { 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 1 3 0 4 3 -> 4 4 5 4 4 3 3 2 4 3 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 5-rule system 59.16/15.27 { 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 1 0 5 3 0 0 4 -> 2 3 3 4 0 4 0 5 4 3 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 4-rule system 59.16/15.27 { 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 , 59.16/15.27 2 3 5 1 1 0 4 -> 3 2 3 5 0 0 2 1 2 1 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 8: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 3-rule system 59.16/15.27 { 1 1 3 4 5 3 -> 3 1 4 5 5 0 0 3 3 2 , 59.16/15.27 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 7: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 1 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 1 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 1 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 1 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 1 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 0 0 0 0 0 | 59.16/15.27 | 0 1 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 | 0 0 0 0 0 0 0 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 2-rule system 59.16/15.27 { 2 0 3 3 5 3 -> 4 2 0 1 1 4 3 2 3 2 , 59.16/15.27 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 2: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 1 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 1-rule system 59.16/15.27 { 2 0 1 5 3 1 3 -> 2 4 0 5 0 2 2 1 1 3 } 59.16/15.27 59.16/15.27 59.16/15.27 The system was filtered by the following matrix interpretation 59.16/15.27 of type E_J with J = {1,...,2} and dimension 2: 59.16/15.27 59.16/15.27 1 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 5 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 4 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 0 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 3 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 1 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 2 is interpreted by 59.16/15.27 / \ 59.16/15.27 | 1 0 | 59.16/15.27 | 0 1 | 59.16/15.27 \ / 59.16/15.27 59.16/15.27 Remains to prove termination of the 0-rule system 59.16/15.27 { } 59.16/15.27 59.16/15.27 59.16/15.27 The system is trivially terminating. 63.53/16.60 EOF