2.66/0.89 YES 2.95/1.03 2.95/1.03 2.95/1.03 The system was filtered by the following matrix interpretation 2.95/1.03 of type E_J with J = {1,...,2} and dimension 21: 2.95/1.03 2.95/1.03 0 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 2.95/1.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 \ / 2.95/1.03 1 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 \ / 2.95/1.03 2 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 \ / 2.95/1.03 3 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 \ / 2.95/1.03 4 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 2.95/1.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 \ / 2.95/1.03 5 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 2.95/1.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2.95/1.03 \ / 2.95/1.03 2.95/1.03 Remains to prove termination of the 29-rule system 2.95/1.03 { 0 1 2 2 -> 3 2 1 , 2.95/1.03 2 4 1 5 2 -> 2 2 2 4 4 , 2.95/1.03 3 0 0 1 0 -> 1 1 3 0 , 2.95/1.03 0 1 3 5 4 2 2 -> 3 5 1 3 1 2 , 2.95/1.03 0 2 4 1 2 0 5 3 -> 5 3 2 0 1 1 2 , 2.95/1.03 2 1 2 3 0 3 5 0 -> 2 1 2 0 4 5 3 0 , 2.95/1.03 3 4 0 3 2 1 2 2 -> 1 2 5 0 2 0 2 , 2.95/1.03 0 4 0 3 3 2 1 1 3 -> 3 4 2 3 1 3 1 1 , 2.95/1.03 3 2 2 2 5 5 3 5 0 -> 1 2 1 0 1 4 0 5 0 , 2.95/1.03 0 1 1 3 0 4 4 4 4 2 -> 3 0 5 4 1 1 3 5 , 2.95/1.03 4 0 2 0 2 0 2 0 5 4 -> 4 0 1 4 1 3 2 2 3 , 2.95/1.03 0 1 5 0 4 3 5 2 1 5 2 -> 5 4 2 0 1 2 4 4 5 1 2 2 , 2.95/1.03 1 1 2 4 0 2 2 1 5 5 0 -> 1 1 1 0 1 3 1 2 1 0 , 2.95/1.03 5 1 3 5 1 1 2 1 2 0 2 2 -> 3 5 1 0 3 4 3 5 2 0 4 3 , 2.95/1.03 5 2 4 2 4 0 5 1 1 0 4 3 -> 1 2 0 5 5 0 3 2 2 1 3 , 2.95/1.03 1 4 2 4 5 3 0 0 2 3 4 5 3 -> 1 3 2 2 0 0 5 1 2 0 4 0 3 , 2.95/1.03 2 3 3 4 0 4 1 0 0 2 3 0 1 -> 2 4 0 3 5 0 3 1 4 4 2 0 1 , 2.95/1.03 0 3 0 1 1 0 4 5 3 5 1 0 3 2 -> 5 5 1 3 3 3 3 1 5 5 1 3 , 2.95/1.03 2 0 3 1 5 5 0 1 5 5 1 5 2 0 4 -> 2 1 3 4 1 4 3 4 1 2 4 1 1 4 4 , 2.95/1.03 0 3 3 0 4 4 0 0 2 1 5 0 5 5 1 2 -> 1 4 2 2 4 4 0 0 0 4 0 3 1 5 5 1 , 2.95/1.03 4 2 1 4 0 4 4 2 2 1 2 4 3 5 1 0 -> 4 1 3 1 3 3 2 5 0 4 5 5 4 0 , 2.95/1.03 2 2 1 4 4 4 5 4 0 2 2 5 3 2 3 3 2 -> 2 2 4 4 2 4 0 2 3 1 1 1 1 4 1 1 , 2.95/1.03 2 1 2 0 1 5 1 0 3 2 0 1 1 1 4 4 0 2 -> 2 5 4 0 3 5 2 4 2 3 0 2 2 0 1 1 4 1 , 2.95/1.03 4 2 0 5 2 5 5 5 5 5 5 3 3 3 0 0 2 5 -> 4 0 1 4 5 0 1 5 1 2 2 5 2 2 5 4 1 5 , 2.95/1.03 0 3 1 0 0 3 5 1 2 1 2 2 0 3 3 0 5 4 2 -> 5 2 1 0 4 4 0 1 0 1 2 2 5 1 2 5 4 5 , 2.95/1.03 0 1 3 4 4 5 3 0 2 0 3 5 2 1 0 1 5 2 0 1 -> 1 5 3 2 4 4 4 1 2 3 0 3 2 4 1 0 0 0 2 1 , 2.95/1.03 0 5 1 5 2 1 1 5 3 2 3 1 3 4 1 2 3 5 4 3 -> 2 1 4 0 1 0 2 0 3 3 4 0 3 5 4 3 2 5 4 1 3 , 2.95/1.03 2 2 1 5 0 4 3 4 5 3 3 3 3 1 5 3 1 4 0 1 -> 2 5 0 5 4 2 1 2 5 5 4 4 1 1 4 5 3 1 3 1 , 2.95/1.03 3 0 1 3 5 1 3 4 2 5 4 0 5 0 1 5 5 5 1 0 2 -> 3 0 1 5 5 0 3 2 4 4 0 2 4 5 3 3 2 5 1 1 1 } 2.95/1.03 2.95/1.03 2.95/1.03 The system was filtered by the following matrix interpretation 2.95/1.03 of type E_J with J = {1,...,2} and dimension 2: 2.95/1.03 2.95/1.03 0 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 4 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 1 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 5 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 2 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 4 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 3 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 5 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 4 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 3 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 5 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 6 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 2.95/1.03 Remains to prove termination of the 5-rule system 2.95/1.03 { 0 1 1 3 0 4 4 4 4 2 -> 3 0 5 4 1 1 3 5 , 2.95/1.03 5 2 4 2 4 0 5 1 1 0 4 3 -> 1 2 0 5 5 0 3 2 2 1 3 , 2.95/1.03 1 4 2 4 5 3 0 0 2 3 4 5 3 -> 1 3 2 2 0 0 5 1 2 0 4 0 3 , 2.95/1.03 2 3 3 4 0 4 1 0 0 2 3 0 1 -> 2 4 0 3 5 0 3 1 4 4 2 0 1 , 2.95/1.03 2 2 1 5 0 4 3 4 5 3 3 3 3 1 5 3 1 4 0 1 -> 2 5 0 5 4 2 1 2 5 5 4 4 1 1 4 5 3 1 3 1 } 2.95/1.03 2.95/1.03 2.95/1.03 The system was filtered by the following matrix interpretation 2.95/1.03 of type E_J with J = {1,...,2} and dimension 2: 2.95/1.03 2.95/1.03 0 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 1 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 2 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 3 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 3 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 4 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 2 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 5 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 1 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 2.95/1.03 Remains to prove termination of the 1-rule system 2.95/1.03 { 2 3 3 4 0 4 1 0 0 2 3 0 1 -> 2 4 0 3 5 0 3 1 4 4 2 0 1 } 2.95/1.03 2.95/1.03 2.95/1.03 The system was filtered by the following matrix interpretation 2.95/1.03 of type E_J with J = {1,...,2} and dimension 2: 2.95/1.03 2.95/1.03 0 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 1 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 1 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 2 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 3 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 4 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 5 is interpreted by 2.95/1.03 / \ 2.95/1.03 | 1 0 | 2.95/1.03 | 0 1 | 2.95/1.03 \ / 2.95/1.03 2.95/1.03 Remains to prove termination of the 0-rule system 2.95/1.03 { } 2.95/1.03 2.95/1.03 2.95/1.03 The system is trivially terminating. 4.98/1.62 EOF