9.45/2.60 YES 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 22: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 10.24/2.82 Remains to prove termination of the 24-rule system 10.24/2.82 { 0 1 2 3 2 -> 4 3 1 3 , 10.24/2.82 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.82 1 2 5 3 4 0 3 2 -> 3 4 1 1 4 5 5 , 10.24/2.82 2 1 3 1 0 4 5 0 1 -> 2 1 1 2 3 3 2 0 0 , 10.24/2.82 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.82 4 5 3 3 2 1 0 3 2 -> 4 5 4 5 3 1 4 3 , 10.24/2.82 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.82 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.82 0 1 0 3 1 2 1 3 5 5 2 -> 4 3 0 2 4 5 3 3 2 5 0 2 , 10.24/2.82 4 1 2 2 3 0 1 0 3 0 2 -> 4 3 3 0 2 0 2 2 2 2 , 10.24/2.82 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.82 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.82 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.82 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.82 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.82 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.82 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.82 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.82 1 0 1 2 0 5 3 2 0 5 4 0 0 3 2 0 5 2 -> 1 1 1 4 3 4 3 4 4 3 0 3 4 4 0 1 4 2 2 , 10.24/2.82 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.82 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.82 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.82 5 2 5 1 4 3 3 3 3 3 3 3 1 4 5 2 2 5 1 2 -> 1 3 2 3 1 3 4 1 0 1 2 5 0 5 5 4 5 0 4 5 , 10.24/2.82 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 9: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 1 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 1 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 10.24/2.82 Remains to prove termination of the 23-rule system 10.24/2.82 { 0 1 2 3 2 -> 4 3 1 3 , 10.24/2.82 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.82 2 1 3 1 0 4 5 0 1 -> 2 1 1 2 3 3 2 0 0 , 10.24/2.82 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.82 4 5 3 3 2 1 0 3 2 -> 4 5 4 5 3 1 4 3 , 10.24/2.82 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.82 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.82 0 1 0 3 1 2 1 3 5 5 2 -> 4 3 0 2 4 5 3 3 2 5 0 2 , 10.24/2.82 4 1 2 2 3 0 1 0 3 0 2 -> 4 3 3 0 2 0 2 2 2 2 , 10.24/2.82 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.82 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.82 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.82 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.82 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.82 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.82 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.82 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.82 1 0 1 2 0 5 3 2 0 5 4 0 0 3 2 0 5 2 -> 1 1 1 4 3 4 3 4 4 3 0 3 4 4 0 1 4 2 2 , 10.24/2.82 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.82 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.82 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.82 5 2 5 1 4 3 3 3 3 3 3 3 1 4 5 2 2 5 1 2 -> 1 3 2 3 1 3 4 1 0 1 2 5 0 5 5 4 5 0 4 5 , 10.24/2.82 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 12: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 1 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 1 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 1 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 1 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 10.24/2.82 Remains to prove termination of the 22-rule system 10.24/2.82 { 0 1 2 3 2 -> 4 3 1 3 , 10.24/2.82 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.82 2 1 3 1 0 4 5 0 1 -> 2 1 1 2 3 3 2 0 0 , 10.24/2.82 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.82 4 5 3 3 2 1 0 3 2 -> 4 5 4 5 3 1 4 3 , 10.24/2.82 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.82 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.82 0 1 0 3 1 2 1 3 5 5 2 -> 4 3 0 2 4 5 3 3 2 5 0 2 , 10.24/2.82 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.82 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.82 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.82 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.82 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.82 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.82 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.82 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.82 1 0 1 2 0 5 3 2 0 5 4 0 0 3 2 0 5 2 -> 1 1 1 4 3 4 3 4 4 3 0 3 4 4 0 1 4 2 2 , 10.24/2.82 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.82 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.82 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.82 5 2 5 1 4 3 3 3 3 3 3 3 1 4 5 2 2 5 1 2 -> 1 3 2 3 1 3 4 1 0 1 2 5 0 5 5 4 5 0 4 5 , 10.24/2.82 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 19: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 10.24/2.82 Remains to prove termination of the 21-rule system 10.24/2.82 { 0 1 2 3 2 -> 4 3 1 3 , 10.24/2.82 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.82 2 1 3 1 0 4 5 0 1 -> 2 1 1 2 3 3 2 0 0 , 10.24/2.82 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.82 4 5 3 3 2 1 0 3 2 -> 4 5 4 5 3 1 4 3 , 10.24/2.82 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.82 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.82 0 1 0 3 1 2 1 3 5 5 2 -> 4 3 0 2 4 5 3 3 2 5 0 2 , 10.24/2.82 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.82 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.82 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.82 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.82 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.82 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.82 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.82 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.82 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.82 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.82 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.82 5 2 5 1 4 3 3 3 3 3 3 3 1 4 5 2 2 5 1 2 -> 1 3 2 3 1 3 4 1 0 1 2 5 0 5 5 4 5 0 4 5 , 10.24/2.82 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 21: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 10.24/2.82 Remains to prove termination of the 20-rule system 10.24/2.82 { 0 1 2 3 2 -> 4 3 1 3 , 10.24/2.82 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.82 2 1 3 1 0 4 5 0 1 -> 2 1 1 2 3 3 2 0 0 , 10.24/2.82 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.82 4 5 3 3 2 1 0 3 2 -> 4 5 4 5 3 1 4 3 , 10.24/2.82 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.82 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.82 0 1 0 3 1 2 1 3 5 5 2 -> 4 3 0 2 4 5 3 3 2 5 0 2 , 10.24/2.82 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.82 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.82 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.82 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.82 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.82 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.82 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.82 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.82 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.82 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.82 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.82 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 10: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 1 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 1 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 1 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 10.24/2.82 Remains to prove termination of the 19-rule system 10.24/2.82 { 0 1 2 3 2 -> 4 3 1 3 , 10.24/2.82 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.82 2 1 3 1 0 4 5 0 1 -> 2 1 1 2 3 3 2 0 0 , 10.24/2.82 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.82 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.82 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.82 0 1 0 3 1 2 1 3 5 5 2 -> 4 3 0 2 4 5 3 3 2 5 0 2 , 10.24/2.82 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.82 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.82 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.82 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.82 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.82 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.82 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.82 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.82 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.82 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.82 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.82 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 22: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 10.24/2.82 Remains to prove termination of the 18-rule system 10.24/2.82 { 0 1 2 3 2 -> 4 3 1 3 , 10.24/2.82 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.82 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.82 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.82 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.82 0 1 0 3 1 2 1 3 5 5 2 -> 4 3 0 2 4 5 3 3 2 5 0 2 , 10.24/2.82 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.82 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.82 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.82 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.82 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.82 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.82 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.82 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.82 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.82 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.82 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.82 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 6: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 10.24/2.82 Remains to prove termination of the 17-rule system 10.24/2.82 { 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.82 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.82 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.82 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.82 0 1 0 3 1 2 1 3 5 5 2 -> 4 3 0 2 4 5 3 3 2 5 0 2 , 10.24/2.82 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.82 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.82 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.82 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.82 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.82 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.82 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.82 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.82 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.82 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.82 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.82 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.82 10.24/2.82 10.24/2.82 The system was filtered by the following matrix interpretation 10.24/2.82 of type E_J with J = {1,...,2} and dimension 12: 10.24/2.82 10.24/2.82 0 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 1 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 1 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 1 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 1 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 1 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 2 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 1 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 3 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 1 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 1 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 4 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 \ / 10.24/2.82 5 is interpreted by 10.24/2.82 / \ 10.24/2.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.83 | 0 0 0 0 0 0 0 0 0 0 1 0 | 10.24/2.83 | 0 0 0 0 0 0 0 0 0 0 0 1 | 10.24/2.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 10.24/2.83 \ / 10.24/2.83 10.24/2.83 Remains to prove termination of the 16-rule system 10.24/2.83 { 3 2 4 4 2 0 -> 3 1 1 0 , 10.24/2.83 3 5 4 3 4 4 4 3 4 -> 5 0 5 0 0 1 4 , 10.24/2.83 0 1 4 0 5 3 4 4 4 5 -> 0 5 5 5 0 3 5 , 10.24/2.83 4 1 2 0 5 2 4 4 2 0 -> 0 4 3 1 0 0 3 0 , 10.24/2.83 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.83 3 0 3 3 2 0 3 1 0 5 4 1 4 -> 3 5 5 4 4 1 5 0 1 5 4 3 , 10.24/2.83 3 0 5 5 5 2 0 0 0 2 4 2 2 -> 1 3 5 4 1 1 2 1 0 4 0 4 2 , 10.24/2.83 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.83 2 1 4 5 4 3 3 4 3 4 2 2 1 5 -> 0 5 4 2 2 2 4 3 3 1 3 1 0 0 , 10.24/2.83 0 1 0 1 4 4 4 0 3 2 4 0 4 5 0 -> 4 1 5 2 5 2 4 0 1 2 3 0 0 , 10.24/2.83 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.83 4 5 4 1 1 5 3 4 0 3 5 3 1 0 0 3 1 -> 4 3 3 1 4 4 2 1 1 3 2 0 4 2 1 4 3 1 , 10.24/2.83 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.83 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 , 10.24/2.83 4 5 3 0 4 2 1 1 3 0 3 0 0 5 1 3 2 4 5 -> 4 5 5 1 1 2 4 0 3 2 5 1 2 5 3 0 3 , 10.24/2.83 1 5 3 1 4 2 0 1 1 0 3 5 4 1 4 5 2 0 1 0 0 -> 1 4 0 1 1 5 0 3 4 1 2 4 1 1 4 5 4 1 3 3 0 } 10.24/2.83 10.24/2.83 10.24/2.83 The system was filtered by the following matrix interpretation 10.24/2.83 of type E_J with J = {1,...,2} and dimension 2: 10.24/2.83 10.24/2.83 0 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 9 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 1 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 9 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 2 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 9 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 3 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 12 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 4 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 7 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 5 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 14 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 10.24/2.83 Remains to prove termination of the 5-rule system 10.24/2.83 { 4 3 4 5 1 5 3 4 2 2 5 -> 4 3 2 2 4 3 3 1 0 5 5 , 10.24/2.83 0 0 3 1 5 1 4 2 1 0 4 4 0 5 -> 0 3 4 3 2 1 2 1 2 0 2 4 0 5 , 10.24/2.83 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.83 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 , 10.24/2.83 0 1 5 4 3 2 4 3 1 3 3 4 4 3 3 0 1 2 2 -> 4 1 0 3 0 4 4 0 5 0 1 5 5 2 1 1 5 4 2 } 10.24/2.83 10.24/2.83 10.24/2.83 The system was filtered by the following matrix interpretation 10.24/2.83 of type E_J with J = {1,...,2} and dimension 2: 10.24/2.83 10.24/2.83 0 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 1 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 1 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 4 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 2 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 2 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 3 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 4 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 4 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 1 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 5 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 5 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 10.24/2.83 Remains to prove termination of the 2-rule system 10.24/2.83 { 5 2 2 5 5 1 0 4 4 3 1 2 0 2 4 -> 5 0 3 1 0 1 0 4 4 3 2 4 2 1 1 4 , 10.24/2.83 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 } 10.24/2.83 10.24/2.83 10.24/2.83 The system was filtered by the following matrix interpretation 10.24/2.83 of type E_J with J = {1,...,2} and dimension 2: 10.24/2.83 10.24/2.83 0 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 1 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 2 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 3 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 4 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 5 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 1 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 10.24/2.83 Remains to prove termination of the 1-rule system 10.24/2.83 { 0 0 1 0 1 0 2 4 3 5 4 3 1 4 4 2 3 1 5 -> 4 0 5 4 3 3 3 4 3 3 0 2 2 4 1 5 2 3 } 10.24/2.83 10.24/2.83 10.24/2.83 The system was filtered by the following matrix interpretation 10.24/2.83 of type E_J with J = {1,...,2} and dimension 2: 10.24/2.83 10.24/2.83 0 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 1 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 1 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 2 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 3 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 4 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 5 is interpreted by 10.24/2.83 / \ 10.24/2.83 | 1 0 | 10.24/2.83 | 0 1 | 10.24/2.83 \ / 10.24/2.83 10.24/2.83 Remains to prove termination of the 0-rule system 10.24/2.83 { } 10.24/2.83 10.24/2.83 10.24/2.83 The system is trivially terminating. 10.39/2.90 EOF