12.58/3.43 YES 13.99/3.82 13.99/3.82 13.99/3.82 The system was filtered by the following matrix interpretation 13.99/3.82 of type E_J with J = {1,...,2} and dimension 21: 13.99/3.82 13.99/3.82 0 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 1 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 2 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 3 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 4 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 5 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 13.99/3.82 Remains to prove termination of the 24-rule system 13.99/3.82 { 0 1 1 2 3 -> 0 1 3 3 4 , 13.99/3.82 1 4 2 1 4 -> 1 1 1 0 , 13.99/3.82 1 4 5 1 4 -> 5 5 5 2 , 13.99/3.82 2 0 5 2 5 -> 2 2 3 2 1 , 13.99/3.82 0 1 0 5 0 4 -> 0 1 5 5 1 , 13.99/3.82 1 0 5 5 1 2 4 -> 2 5 4 5 1 1 4 , 13.99/3.82 4 0 2 5 4 3 5 -> 1 1 3 5 1 5 , 13.99/3.82 0 4 0 0 3 1 4 1 2 -> 2 5 3 2 2 1 2 2 , 13.99/3.82 5 4 5 4 2 5 0 1 5 4 -> 0 0 1 2 1 2 3 2 2 , 13.99/3.82 1 2 3 2 1 4 5 2 5 4 5 -> 2 1 2 4 2 2 3 0 2 1 , 13.99/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 13.99/3.82 2 4 0 0 0 3 3 3 3 0 0 4 -> 2 0 0 2 0 4 4 3 1 0 2 , 13.99/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 13.99/3.82 4 0 2 5 2 1 1 2 0 1 2 1 -> 0 2 0 0 0 1 0 1 5 2 1 , 13.99/3.82 4 3 4 5 2 4 4 5 4 3 4 3 -> 2 5 3 0 2 5 2 4 4 1 3 , 13.99/3.82 5 5 4 1 1 1 3 2 2 5 1 2 3 5 4 -> 5 5 0 3 1 2 0 2 0 2 0 4 1 2 , 13.99/3.82 4 2 5 1 1 3 1 3 2 5 5 4 3 5 5 4 -> 4 2 2 5 1 0 2 5 1 0 3 0 3 5 3 , 13.99/3.82 1 5 5 5 3 2 0 1 3 4 0 2 5 0 0 3 4 3 -> 5 4 3 1 4 2 4 5 4 5 0 3 1 0 2 2 1 3 , 13.99/3.82 3 0 3 4 3 3 5 1 0 4 5 0 0 0 2 2 1 4 -> 0 1 5 5 0 1 5 0 5 0 0 4 0 4 3 4 , 13.99/3.82 5 4 4 5 3 5 2 2 3 4 0 2 0 3 2 5 4 3 -> 5 4 0 5 1 1 1 1 3 2 0 0 3 5 0 1 3 , 13.99/3.82 1 5 4 3 4 4 3 3 4 5 4 1 5 5 0 1 4 0 2 -> 0 4 3 3 2 2 0 5 1 0 4 4 3 2 3 5 4 2 , 13.99/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 , 13.99/3.82 1 1 1 3 3 0 0 1 2 2 5 1 4 4 4 5 4 3 4 1 -> 3 4 0 2 1 0 4 1 0 3 1 4 0 3 4 2 0 5 , 13.99/3.82 5 4 2 4 0 4 1 4 4 2 0 1 3 4 1 3 5 4 4 4 -> 5 4 4 2 2 1 4 4 5 1 4 5 4 5 2 2 0 3 } 13.99/3.82 13.99/3.82 13.99/3.82 The system was filtered by the following matrix interpretation 13.99/3.82 of type E_J with J = {1,...,2} and dimension 19: 13.99/3.82 13.99/3.82 0 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 1 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 2 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 \ / 13.99/3.82 3 is interpreted by 13.99/3.82 / \ 13.99/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.99/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 23-rule system 14.21/3.82 { 0 1 1 2 3 -> 0 1 3 3 4 , 14.21/3.82 1 4 2 1 4 -> 1 1 1 0 , 14.21/3.82 1 4 5 1 4 -> 5 5 5 2 , 14.21/3.82 2 0 5 2 5 -> 2 2 3 2 1 , 14.21/3.82 0 1 0 5 0 4 -> 0 1 5 5 1 , 14.21/3.82 1 0 5 5 1 2 4 -> 2 5 4 5 1 1 4 , 14.21/3.82 4 0 2 5 4 3 5 -> 1 1 3 5 1 5 , 14.21/3.82 0 4 0 0 3 1 4 1 2 -> 2 5 3 2 2 1 2 2 , 14.21/3.82 5 4 5 4 2 5 0 1 5 4 -> 0 0 1 2 1 2 3 2 2 , 14.21/3.82 1 2 3 2 1 4 5 2 5 4 5 -> 2 1 2 4 2 2 3 0 2 1 , 14.21/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 2 4 0 0 0 3 3 3 3 0 0 4 -> 2 0 0 2 0 4 4 3 1 0 2 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 4 0 2 5 2 1 1 2 0 1 2 1 -> 0 2 0 0 0 1 0 1 5 2 1 , 14.21/3.82 4 3 4 5 2 4 4 5 4 3 4 3 -> 2 5 3 0 2 5 2 4 4 1 3 , 14.21/3.82 5 5 4 1 1 1 3 2 2 5 1 2 3 5 4 -> 5 5 0 3 1 2 0 2 0 2 0 4 1 2 , 14.21/3.82 4 2 5 1 1 3 1 3 2 5 5 4 3 5 5 4 -> 4 2 2 5 1 0 2 5 1 0 3 0 3 5 3 , 14.21/3.82 1 5 5 5 3 2 0 1 3 4 0 2 5 0 0 3 4 3 -> 5 4 3 1 4 2 4 5 4 5 0 3 1 0 2 2 1 3 , 14.21/3.82 5 4 4 5 3 5 2 2 3 4 0 2 0 3 2 5 4 3 -> 5 4 0 5 1 1 1 1 3 2 0 0 3 5 0 1 3 , 14.21/3.82 1 5 4 3 4 4 3 3 4 5 4 1 5 5 0 1 4 0 2 -> 0 4 3 3 2 2 0 5 1 0 4 4 3 2 3 5 4 2 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 , 14.21/3.82 1 1 1 3 3 0 0 1 2 2 5 1 4 4 4 5 4 3 4 1 -> 3 4 0 2 1 0 4 1 0 3 1 4 0 3 4 2 0 5 , 14.21/3.82 5 4 2 4 0 4 1 4 4 2 0 1 3 4 1 3 5 4 4 4 -> 5 4 4 2 2 1 4 4 5 1 4 5 4 5 2 2 0 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 25: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 22-rule system 14.21/3.82 { 1 4 2 1 4 -> 1 1 1 0 , 14.21/3.82 1 4 5 1 4 -> 5 5 5 2 , 14.21/3.82 2 0 5 2 5 -> 2 2 3 2 1 , 14.21/3.82 0 1 0 5 0 4 -> 0 1 5 5 1 , 14.21/3.82 1 0 5 5 1 2 4 -> 2 5 4 5 1 1 4 , 14.21/3.82 4 0 2 5 4 3 5 -> 1 1 3 5 1 5 , 14.21/3.82 0 4 0 0 3 1 4 1 2 -> 2 5 3 2 2 1 2 2 , 14.21/3.82 5 4 5 4 2 5 0 1 5 4 -> 0 0 1 2 1 2 3 2 2 , 14.21/3.82 1 2 3 2 1 4 5 2 5 4 5 -> 2 1 2 4 2 2 3 0 2 1 , 14.21/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 2 4 0 0 0 3 3 3 3 0 0 4 -> 2 0 0 2 0 4 4 3 1 0 2 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 4 0 2 5 2 1 1 2 0 1 2 1 -> 0 2 0 0 0 1 0 1 5 2 1 , 14.21/3.82 4 3 4 5 2 4 4 5 4 3 4 3 -> 2 5 3 0 2 5 2 4 4 1 3 , 14.21/3.82 5 5 4 1 1 1 3 2 2 5 1 2 3 5 4 -> 5 5 0 3 1 2 0 2 0 2 0 4 1 2 , 14.21/3.82 4 2 5 1 1 3 1 3 2 5 5 4 3 5 5 4 -> 4 2 2 5 1 0 2 5 1 0 3 0 3 5 3 , 14.21/3.82 1 5 5 5 3 2 0 1 3 4 0 2 5 0 0 3 4 3 -> 5 4 3 1 4 2 4 5 4 5 0 3 1 0 2 2 1 3 , 14.21/3.82 5 4 4 5 3 5 2 2 3 4 0 2 0 3 2 5 4 3 -> 5 4 0 5 1 1 1 1 3 2 0 0 3 5 0 1 3 , 14.21/3.82 1 5 4 3 4 4 3 3 4 5 4 1 5 5 0 1 4 0 2 -> 0 4 3 3 2 2 0 5 1 0 4 4 3 2 3 5 4 2 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 , 14.21/3.82 1 1 1 3 3 0 0 1 2 2 5 1 4 4 4 5 4 3 4 1 -> 3 4 0 2 1 0 4 1 0 3 1 4 0 3 4 2 0 5 , 14.21/3.82 5 4 2 4 0 4 1 4 4 2 0 1 3 4 1 3 5 4 4 4 -> 5 4 4 2 2 1 4 4 5 1 4 5 4 5 2 2 0 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 13: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 21-rule system 14.21/3.82 { 1 4 2 1 4 -> 1 1 1 0 , 14.21/3.82 1 4 5 1 4 -> 5 5 5 2 , 14.21/3.82 2 0 5 2 5 -> 2 2 3 2 1 , 14.21/3.82 0 1 0 5 0 4 -> 0 1 5 5 1 , 14.21/3.82 1 0 5 5 1 2 4 -> 2 5 4 5 1 1 4 , 14.21/3.82 4 0 2 5 4 3 5 -> 1 1 3 5 1 5 , 14.21/3.82 0 4 0 0 3 1 4 1 2 -> 2 5 3 2 2 1 2 2 , 14.21/3.82 5 4 5 4 2 5 0 1 5 4 -> 0 0 1 2 1 2 3 2 2 , 14.21/3.82 1 2 3 2 1 4 5 2 5 4 5 -> 2 1 2 4 2 2 3 0 2 1 , 14.21/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 2 4 0 0 0 3 3 3 3 0 0 4 -> 2 0 0 2 0 4 4 3 1 0 2 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 4 0 2 5 2 1 1 2 0 1 2 1 -> 0 2 0 0 0 1 0 1 5 2 1 , 14.21/3.82 5 5 4 1 1 1 3 2 2 5 1 2 3 5 4 -> 5 5 0 3 1 2 0 2 0 2 0 4 1 2 , 14.21/3.82 4 2 5 1 1 3 1 3 2 5 5 4 3 5 5 4 -> 4 2 2 5 1 0 2 5 1 0 3 0 3 5 3 , 14.21/3.82 1 5 5 5 3 2 0 1 3 4 0 2 5 0 0 3 4 3 -> 5 4 3 1 4 2 4 5 4 5 0 3 1 0 2 2 1 3 , 14.21/3.82 5 4 4 5 3 5 2 2 3 4 0 2 0 3 2 5 4 3 -> 5 4 0 5 1 1 1 1 3 2 0 0 3 5 0 1 3 , 14.21/3.82 1 5 4 3 4 4 3 3 4 5 4 1 5 5 0 1 4 0 2 -> 0 4 3 3 2 2 0 5 1 0 4 4 3 2 3 5 4 2 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 , 14.21/3.82 1 1 1 3 3 0 0 1 2 2 5 1 4 4 4 5 4 3 4 1 -> 3 4 0 2 1 0 4 1 0 3 1 4 0 3 4 2 0 5 , 14.21/3.82 5 4 2 4 0 4 1 4 4 2 0 1 3 4 1 3 5 4 4 4 -> 5 4 4 2 2 1 4 4 5 1 4 5 4 5 2 2 0 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 12: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 1 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 1 1 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 1 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 1 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 1 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 1 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 1 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 1 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 1 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 20-rule system 14.21/3.82 { 1 4 2 1 4 -> 1 1 1 0 , 14.21/3.82 1 4 5 1 4 -> 5 5 5 2 , 14.21/3.82 2 0 5 2 5 -> 2 2 3 2 1 , 14.21/3.82 0 1 0 5 0 4 -> 0 1 5 5 1 , 14.21/3.82 1 0 5 5 1 2 4 -> 2 5 4 5 1 1 4 , 14.21/3.82 0 4 0 0 3 1 4 1 2 -> 2 5 3 2 2 1 2 2 , 14.21/3.82 5 4 5 4 2 5 0 1 5 4 -> 0 0 1 2 1 2 3 2 2 , 14.21/3.82 1 2 3 2 1 4 5 2 5 4 5 -> 2 1 2 4 2 2 3 0 2 1 , 14.21/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 2 4 0 0 0 3 3 3 3 0 0 4 -> 2 0 0 2 0 4 4 3 1 0 2 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 4 0 2 5 2 1 1 2 0 1 2 1 -> 0 2 0 0 0 1 0 1 5 2 1 , 14.21/3.82 5 5 4 1 1 1 3 2 2 5 1 2 3 5 4 -> 5 5 0 3 1 2 0 2 0 2 0 4 1 2 , 14.21/3.82 4 2 5 1 1 3 1 3 2 5 5 4 3 5 5 4 -> 4 2 2 5 1 0 2 5 1 0 3 0 3 5 3 , 14.21/3.82 1 5 5 5 3 2 0 1 3 4 0 2 5 0 0 3 4 3 -> 5 4 3 1 4 2 4 5 4 5 0 3 1 0 2 2 1 3 , 14.21/3.82 5 4 4 5 3 5 2 2 3 4 0 2 0 3 2 5 4 3 -> 5 4 0 5 1 1 1 1 3 2 0 0 3 5 0 1 3 , 14.21/3.82 1 5 4 3 4 4 3 3 4 5 4 1 5 5 0 1 4 0 2 -> 0 4 3 3 2 2 0 5 1 0 4 4 3 2 3 5 4 2 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 , 14.21/3.82 1 1 1 3 3 0 0 1 2 2 5 1 4 4 4 5 4 3 4 1 -> 3 4 0 2 1 0 4 1 0 3 1 4 0 3 4 2 0 5 , 14.21/3.82 5 4 2 4 0 4 1 4 4 2 0 1 3 4 1 3 5 4 4 4 -> 5 4 4 2 2 1 4 4 5 1 4 5 4 5 2 2 0 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 13: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 19-rule system 14.21/3.82 { 1 4 2 1 4 -> 1 1 1 0 , 14.21/3.82 1 4 5 1 4 -> 5 5 5 2 , 14.21/3.82 2 0 5 2 5 -> 2 2 3 2 1 , 14.21/3.82 0 1 0 5 0 4 -> 0 1 5 5 1 , 14.21/3.82 1 0 5 5 1 2 4 -> 2 5 4 5 1 1 4 , 14.21/3.82 0 4 0 0 3 1 4 1 2 -> 2 5 3 2 2 1 2 2 , 14.21/3.82 5 4 5 4 2 5 0 1 5 4 -> 0 0 1 2 1 2 3 2 2 , 14.21/3.82 1 2 3 2 1 4 5 2 5 4 5 -> 2 1 2 4 2 2 3 0 2 1 , 14.21/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 2 4 0 0 0 3 3 3 3 0 0 4 -> 2 0 0 2 0 4 4 3 1 0 2 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 5 5 4 1 1 1 3 2 2 5 1 2 3 5 4 -> 5 5 0 3 1 2 0 2 0 2 0 4 1 2 , 14.21/3.82 4 2 5 1 1 3 1 3 2 5 5 4 3 5 5 4 -> 4 2 2 5 1 0 2 5 1 0 3 0 3 5 3 , 14.21/3.82 1 5 5 5 3 2 0 1 3 4 0 2 5 0 0 3 4 3 -> 5 4 3 1 4 2 4 5 4 5 0 3 1 0 2 2 1 3 , 14.21/3.82 5 4 4 5 3 5 2 2 3 4 0 2 0 3 2 5 4 3 -> 5 4 0 5 1 1 1 1 3 2 0 0 3 5 0 1 3 , 14.21/3.82 1 5 4 3 4 4 3 3 4 5 4 1 5 5 0 1 4 0 2 -> 0 4 3 3 2 2 0 5 1 0 4 4 3 2 3 5 4 2 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 , 14.21/3.82 1 1 1 3 3 0 0 1 2 2 5 1 4 4 4 5 4 3 4 1 -> 3 4 0 2 1 0 4 1 0 3 1 4 0 3 4 2 0 5 , 14.21/3.82 5 4 2 4 0 4 1 4 4 2 0 1 3 4 1 3 5 4 4 4 -> 5 4 4 2 2 1 4 4 5 1 4 5 4 5 2 2 0 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 17: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 18-rule system 14.21/3.82 { 1 4 2 1 4 -> 1 1 1 0 , 14.21/3.82 1 4 5 1 4 -> 5 5 5 2 , 14.21/3.82 2 0 5 2 5 -> 2 2 3 2 1 , 14.21/3.82 0 1 0 5 0 4 -> 0 1 5 5 1 , 14.21/3.82 1 0 5 5 1 2 4 -> 2 5 4 5 1 1 4 , 14.21/3.82 0 4 0 0 3 1 4 1 2 -> 2 5 3 2 2 1 2 2 , 14.21/3.82 5 4 5 4 2 5 0 1 5 4 -> 0 0 1 2 1 2 3 2 2 , 14.21/3.82 1 2 3 2 1 4 5 2 5 4 5 -> 2 1 2 4 2 2 3 0 2 1 , 14.21/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 2 4 0 0 0 3 3 3 3 0 0 4 -> 2 0 0 2 0 4 4 3 1 0 2 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 5 5 4 1 1 1 3 2 2 5 1 2 3 5 4 -> 5 5 0 3 1 2 0 2 0 2 0 4 1 2 , 14.21/3.82 1 5 5 5 3 2 0 1 3 4 0 2 5 0 0 3 4 3 -> 5 4 3 1 4 2 4 5 4 5 0 3 1 0 2 2 1 3 , 14.21/3.82 5 4 4 5 3 5 2 2 3 4 0 2 0 3 2 5 4 3 -> 5 4 0 5 1 1 1 1 3 2 0 0 3 5 0 1 3 , 14.21/3.82 1 5 4 3 4 4 3 3 4 5 4 1 5 5 0 1 4 0 2 -> 0 4 3 3 2 2 0 5 1 0 4 4 3 2 3 5 4 2 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 , 14.21/3.82 1 1 1 3 3 0 0 1 2 2 5 1 4 4 4 5 4 3 4 1 -> 3 4 0 2 1 0 4 1 0 3 1 4 0 3 4 2 0 5 , 14.21/3.82 5 4 2 4 0 4 1 4 4 2 0 1 3 4 1 3 5 4 4 4 -> 5 4 4 2 2 1 4 4 5 1 4 5 4 5 2 2 0 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 16: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 14.21/3.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 17-rule system 14.21/3.82 { 1 4 2 1 4 -> 1 1 1 0 , 14.21/3.82 1 4 5 1 4 -> 5 5 5 2 , 14.21/3.82 2 0 5 2 5 -> 2 2 3 2 1 , 14.21/3.82 0 1 0 5 0 4 -> 0 1 5 5 1 , 14.21/3.82 1 0 5 5 1 2 4 -> 2 5 4 5 1 1 4 , 14.21/3.82 0 4 0 0 3 1 4 1 2 -> 2 5 3 2 2 1 2 2 , 14.21/3.82 5 4 5 4 2 5 0 1 5 4 -> 0 0 1 2 1 2 3 2 2 , 14.21/3.82 1 2 3 2 1 4 5 2 5 4 5 -> 2 1 2 4 2 2 3 0 2 1 , 14.21/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 2 4 0 0 0 3 3 3 3 0 0 4 -> 2 0 0 2 0 4 4 3 1 0 2 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 1 5 5 5 3 2 0 1 3 4 0 2 5 0 0 3 4 3 -> 5 4 3 1 4 2 4 5 4 5 0 3 1 0 2 2 1 3 , 14.21/3.82 5 4 4 5 3 5 2 2 3 4 0 2 0 3 2 5 4 3 -> 5 4 0 5 1 1 1 1 3 2 0 0 3 5 0 1 3 , 14.21/3.82 1 5 4 3 4 4 3 3 4 5 4 1 5 5 0 1 4 0 2 -> 0 4 3 3 2 2 0 5 1 0 4 4 3 2 3 5 4 2 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 , 14.21/3.82 1 1 1 3 3 0 0 1 2 2 5 1 4 4 4 5 4 3 4 1 -> 3 4 0 2 1 0 4 1 0 3 1 4 0 3 4 2 0 5 , 14.21/3.82 5 4 2 4 0 4 1 4 4 2 0 1 3 4 1 3 5 4 4 4 -> 5 4 4 2 2 1 4 4 5 1 4 5 4 5 2 2 0 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 2: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 4 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 2 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 2 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 1 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 3 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 4 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 4-rule system 14.21/3.82 { 1 4 5 1 4 -> 5 5 5 2 , 14.21/3.82 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 2: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 1 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 1 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 3-rule system 14.21/3.82 { 4 2 0 4 2 2 5 0 5 3 5 -> 4 5 2 5 1 2 4 5 4 3 3 5 , 14.21/3.82 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 2: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 1 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 1 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 2-rule system 14.21/3.82 { 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 , 14.21/3.82 3 2 0 3 1 4 3 1 0 5 5 1 3 4 2 1 5 4 3 -> 3 0 3 1 1 3 0 4 1 1 2 1 5 2 0 0 4 2 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 2: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 1 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 1 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 1-rule system 14.21/3.82 { 3 0 3 1 2 0 1 2 2 4 0 4 -> 0 4 1 4 3 2 0 2 5 4 3 3 } 14.21/3.82 14.21/3.82 14.21/3.82 The system was filtered by the following matrix interpretation 14.21/3.82 of type E_J with J = {1,...,2} and dimension 2: 14.21/3.82 14.21/3.82 0 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 1 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 1 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 2 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 3 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 4 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 5 is interpreted by 14.21/3.82 / \ 14.21/3.82 | 1 0 | 14.21/3.82 | 0 1 | 14.21/3.82 \ / 14.21/3.82 14.21/3.82 Remains to prove termination of the 0-rule system 14.21/3.82 { } 14.21/3.82 14.21/3.82 14.21/3.82 The system is trivially terminating. 19.17/6.07 EOF