131.68/33.59 YES 132.07/33.73 132.07/33.73 132.07/33.73 The system was filtered by the following matrix interpretation 132.07/33.73 of type E_J with J = {1,...,2} and dimension 17: 132.07/33.73 132.07/33.73 0 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 \ / 132.07/33.73 1 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 132.07/33.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 \ / 132.07/33.73 2 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 \ / 132.07/33.73 3 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 \ / 132.07/33.73 4 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 \ / 132.07/33.73 5 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 132.07/33.73 \ / 132.07/33.73 132.07/33.73 Remains to prove termination of the 162-rule system 132.07/33.73 { 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 5 1 5 5 2 0 2 3 0 3 2 2 5 2 4 4 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 0 0 1 0 2 0 3 0 1 4 1 1 3 3 4 4 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 3 3 1 4 0 2 5 0 2 4 0 0 2 3 0 5 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 4 0 3 1 1 1 0 3 1 5 4 1 5 0 1 3 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 5 1 5 5 2 0 2 3 0 3 2 2 5 2 4 4 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 0 3 0 0 1 3 1 2 1 4 4 4 3 2 4 1 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 , 132.07/33.73 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 2 1 3 0 5 2 3 5 1 0 2 4 5 4 1 2 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 2 1 3 4 3 1 5 4 5 5 3 4 4 1 4 2 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 2 1 3 0 5 2 3 5 1 0 2 4 5 4 1 2 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 2 1 3 4 3 1 5 4 5 5 3 4 4 1 4 2 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 2 4 3 4 4 1 1 3 5 2 4 2 0 4 0 2 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 2 5 2 5 1 2 3 1 4 1 1 0 1 4 4 3 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 2 5 2 5 1 2 3 1 4 1 1 0 1 4 4 3 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 2 5 2 5 1 2 3 1 4 1 1 0 1 4 4 3 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 2 5 3 5 2 1 2 2 1 2 2 0 3 5 5 4 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 2 5 3 5 2 1 2 2 1 2 2 0 3 5 5 4 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 2 5 3 5 2 1 2 2 1 2 2 0 3 5 5 4 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 3 2 2 2 1 1 2 0 4 0 1 0 2 3 5 5 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 3 2 2 2 1 1 2 0 4 0 1 0 2 3 5 5 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 3 2 2 2 1 1 2 0 4 0 1 0 2 3 5 5 -> 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 , 132.07/33.73 3 2 2 2 1 1 2 0 4 0 1 0 2 3 5 5 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 3 2 2 2 1 1 2 0 4 0 1 0 2 3 5 5 -> 3 5 5 0 2 1 3 2 5 2 4 2 2 4 3 5 , 132.07/33.73 3 2 2 2 1 1 2 0 4 0 1 0 2 3 5 5 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 3 3 1 4 0 2 5 0 2 4 0 0 2 3 0 5 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 3 3 1 4 0 2 5 0 2 4 0 0 2 3 0 5 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 3 3 1 4 0 2 5 0 2 4 0 0 2 3 0 5 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 3 3 1 4 0 2 5 0 2 4 0 0 2 3 0 5 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 4 0 3 1 1 1 0 3 1 5 4 1 5 0 1 3 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 3 5 5 0 2 1 3 2 5 2 4 2 2 4 3 5 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 3 5 5 0 2 1 3 2 5 2 4 2 2 4 3 5 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 3 5 5 0 2 1 3 2 5 2 4 2 2 4 3 5 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 0 3 1 1 1 0 3 1 5 4 1 5 0 1 3 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 0 3 1 1 1 0 3 1 5 4 1 5 0 1 3 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 4 0 3 1 1 1 0 3 1 5 4 1 5 0 1 3 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 4 4 1 2 3 0 3 5 2 4 1 5 1 0 1 5 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 5 1 5 5 2 0 2 3 0 3 2 2 5 2 4 4 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 4 1 1 2 4 1 0 3 4 0 2 3 1 0 4 1 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 4 0 3 1 1 1 0 3 1 5 4 1 5 0 1 3 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 2 1 3 0 5 2 3 5 1 0 2 4 5 4 1 2 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 2 1 3 4 3 1 5 4 5 5 3 4 4 1 4 2 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 3 3 1 4 0 2 5 0 2 4 0 0 2 3 0 5 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 3 5 5 0 2 1 3 2 5 2 4 2 2 4 3 5 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 4 0 3 1 1 1 0 3 1 5 4 1 5 0 1 3 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 4 2 1 1 3 5 2 4 4 5 4 3 1 0 3 2 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 4 4 1 2 3 0 3 5 2 4 1 5 1 0 1 5 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 5 1 5 5 2 0 2 3 0 3 2 2 5 2 4 4 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 4 3 2 4 3 4 0 4 3 1 2 2 4 1 4 2 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 4 4 1 2 3 0 3 5 2 4 1 5 1 0 1 5 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 4 4 1 2 3 0 3 5 2 4 1 5 1 0 1 5 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 4 4 1 2 3 0 3 5 2 4 1 5 1 0 1 5 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 4 4 1 2 3 0 3 5 2 4 1 5 1 0 1 5 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 3 3 2 5 0 2 2 5 3 5 5 3 3 3 4 5 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 3 3 5 3 2 2 3 3 5 1 3 5 2 3 0 2 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 4 0 4 1 0 1 5 3 0 2 0 5 3 5 4 2 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 4 1 5 1 2 5 1 5 5 5 2 5 1 5 4 5 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 -> 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 , 132.07/33.73 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 5 1 5 5 2 0 2 3 0 3 2 2 5 2 4 4 -> 2 5 5 1 5 4 1 4 1 5 5 0 5 3 5 3 , 132.07/33.73 5 1 5 5 2 0 2 3 0 3 2 2 5 2 4 4 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 , 132.07/33.73 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 -> 3 5 0 3 5 3 1 4 5 3 0 1 3 1 5 0 , 132.07/33.73 5 5 4 4 1 3 3 3 0 2 3 5 2 0 5 0 -> 5 3 5 1 4 3 1 5 5 3 5 2 5 0 5 4 } 132.07/33.73 132.07/33.73 132.07/33.73 The system was filtered by the following matrix interpretation 132.07/33.73 of type E_J with J = {1,...,2} and dimension 2: 132.07/33.73 132.07/33.73 0 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 1 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 1 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 1 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 2 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 1 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 3 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 4 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 1 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 5 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 132.07/33.73 Remains to prove termination of the 7-rule system 132.07/33.73 { 0 5 3 4 1 0 4 1 4 3 3 2 3 1 2 3 -> 5 0 4 2 4 5 3 5 4 5 0 4 1 1 0 3 , 132.07/33.73 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 3 1 5 4 3 1 3 2 1 1 4 2 3 3 2 5 -> 2 0 3 5 5 0 5 5 5 1 0 1 0 0 4 5 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 3 3 1 4 0 2 5 0 2 4 0 0 2 3 0 5 , 132.07/33.73 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 4 0 3 1 1 1 0 3 1 5 4 1 5 0 1 3 , 132.07/33.73 3 5 5 0 2 1 3 2 5 2 4 2 2 4 3 5 -> 0 0 3 5 5 3 1 3 5 1 0 0 0 4 1 5 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 } 132.07/33.73 132.07/33.73 132.07/33.73 The system was filtered by the following matrix interpretation 132.07/33.73 of type E_J with J = {1,...,2} and dimension 2: 132.07/33.73 132.07/33.73 0 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 1 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 2 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 1 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 3 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 4 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 5 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 132.07/33.73 Remains to prove termination of the 2-rule system 132.07/33.73 { 3 4 0 3 2 2 4 0 5 0 3 1 4 3 2 1 -> 3 3 1 4 0 2 5 0 2 4 0 0 2 3 0 5 , 132.07/33.73 4 1 1 5 2 3 0 4 0 2 5 1 2 4 3 2 -> 4 5 4 4 5 0 2 5 5 2 0 4 0 2 1 2 } 132.07/33.73 132.07/33.73 132.07/33.73 The system was filtered by the following matrix interpretation 132.07/33.73 of type E_J with J = {1,...,2} and dimension 2: 132.07/33.73 132.07/33.73 0 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 1 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 1 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 2 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 3 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 4 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 5 is interpreted by 132.07/33.73 / \ 132.07/33.73 | 1 0 | 132.07/33.73 | 0 1 | 132.07/33.73 \ / 132.07/33.73 132.07/33.73 Remains to prove termination of the 0-rule system 132.07/33.73 { } 132.07/33.73 132.07/33.73 132.07/33.73 The system is trivially terminating. 138.20/36.37 EOF