346.13/87.82 YES 346.95/88.01 346.95/88.01 346.95/88.01 The system was filtered by the following matrix interpretation 346.95/88.01 of type E_J with J = {1,...,2} and dimension 12: 346.95/88.01 346.95/88.01 1 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 5 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 2 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 0 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 3 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 4 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 1 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 1 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 346.95/88.01 Remains to prove termination of the 51-rule system 346.95/88.01 { 1 1 5 5 -> 2 2 0 2 1 3 0 3 0 4 , 346.95/88.01 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.01 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.01 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.01 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.01 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.01 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.01 1 3 4 2 4 -> 1 4 2 0 3 4 0 2 5 1 , 346.95/88.01 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.01 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.01 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.01 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.01 1 4 4 1 1 5 -> 0 2 1 3 3 2 1 3 5 4 , 346.95/88.01 1 5 0 1 5 5 -> 2 5 5 3 4 3 2 0 3 4 , 346.95/88.01 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.01 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.01 2 4 2 4 5 2 -> 0 3 2 5 3 2 3 5 3 2 , 346.95/88.01 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.01 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.01 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.01 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.01 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.01 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.01 4 5 2 4 2 4 -> 2 0 4 4 3 1 2 2 5 5 , 346.95/88.01 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.01 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.01 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.01 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.01 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.01 1 1 1 1 4 0 4 -> 5 2 5 4 1 5 0 2 0 4 , 346.95/88.01 1 1 1 1 4 5 5 -> 5 0 5 2 2 5 0 0 5 5 , 346.95/88.01 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.01 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.01 1 1 4 2 4 4 5 -> 1 4 4 1 3 5 1 1 2 5 , 346.95/88.01 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.01 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.01 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.01 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.01 2 3 4 1 1 5 3 -> 1 4 4 5 2 2 5 1 5 3 , 346.95/88.01 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.01 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.01 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.01 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.01 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.01 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.01 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.01 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.01 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.01 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.01 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.01 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.01 346.95/88.01 346.95/88.01 The system was filtered by the following matrix interpretation 346.95/88.01 of type E_J with J = {1,...,2} and dimension 10: 346.95/88.01 346.95/88.01 1 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 1 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 1 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 1 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 5 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 2 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 1 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 | 0 0 0 0 1 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 0 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 1 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 1 0 0 0 | 346.95/88.01 \ / 346.95/88.01 3 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 1 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 4 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 1 0 1 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 346.95/88.01 Remains to prove termination of the 48-rule system 346.95/88.01 { 1 1 5 5 -> 2 2 0 2 1 3 0 3 0 4 , 346.95/88.01 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.01 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.01 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.01 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.01 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.01 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.01 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.01 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.01 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.01 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.01 1 4 4 1 1 5 -> 0 2 1 3 3 2 1 3 5 4 , 346.95/88.01 1 5 0 1 5 5 -> 2 5 5 3 4 3 2 0 3 4 , 346.95/88.01 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.01 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.01 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.01 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.01 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.01 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.01 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.01 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.01 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.01 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.01 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.01 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.01 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.01 1 1 1 1 4 0 4 -> 5 2 5 4 1 5 0 2 0 4 , 346.95/88.01 1 1 1 1 4 5 5 -> 5 0 5 2 2 5 0 0 5 5 , 346.95/88.01 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.01 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.01 1 1 4 2 4 4 5 -> 1 4 4 1 3 5 1 1 2 5 , 346.95/88.01 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.01 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.01 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.01 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.01 2 3 4 1 1 5 3 -> 1 4 4 5 2 2 5 1 5 3 , 346.95/88.01 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.01 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.01 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.01 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.01 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.01 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.01 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.01 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.01 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.01 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.01 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.01 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.01 346.95/88.01 346.95/88.01 The system was filtered by the following matrix interpretation 346.95/88.01 of type E_J with J = {1,...,2} and dimension 17: 346.95/88.01 346.95/88.01 1 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 5 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 2 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 0 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 3 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.01 \ / 346.95/88.01 4 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 346.95/88.01 Remains to prove termination of the 47-rule system 346.95/88.01 { 1 1 5 5 -> 2 2 0 2 1 3 0 3 0 4 , 346.95/88.01 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.01 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.01 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.01 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.01 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.01 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.01 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.01 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.01 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.01 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.01 1 4 4 1 1 5 -> 0 2 1 3 3 2 1 3 5 4 , 346.95/88.01 1 5 0 1 5 5 -> 2 5 5 3 4 3 2 0 3 4 , 346.95/88.01 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.01 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.01 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.01 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.01 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.01 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.01 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.01 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.01 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.01 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.01 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.01 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.01 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.01 1 1 1 1 4 0 4 -> 5 2 5 4 1 5 0 2 0 4 , 346.95/88.01 1 1 1 1 4 5 5 -> 5 0 5 2 2 5 0 0 5 5 , 346.95/88.01 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.01 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.01 1 1 4 2 4 4 5 -> 1 4 4 1 3 5 1 1 2 5 , 346.95/88.01 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.01 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.01 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.01 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.01 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.01 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.01 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.01 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.01 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.01 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.01 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.01 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.01 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.01 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.01 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.01 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.01 346.95/88.01 346.95/88.01 The system was filtered by the following matrix interpretation 346.95/88.01 of type E_J with J = {1,...,2} and dimension 12: 346.95/88.01 346.95/88.01 1 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 5 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 2 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 0 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.01 \ / 346.95/88.01 3 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 1 0 1 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.01 \ / 346.95/88.01 4 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 346.95/88.01 Remains to prove termination of the 46-rule system 346.95/88.01 { 1 1 5 5 -> 2 2 0 2 1 3 0 3 0 4 , 346.95/88.01 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.01 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.01 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.01 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.01 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.01 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.01 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.01 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.01 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.01 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.01 1 4 4 1 1 5 -> 0 2 1 3 3 2 1 3 5 4 , 346.95/88.01 1 5 0 1 5 5 -> 2 5 5 3 4 3 2 0 3 4 , 346.95/88.01 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.01 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.01 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.01 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.01 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.01 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.01 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.01 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.01 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.01 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.01 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.01 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.01 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.01 1 1 1 1 4 5 5 -> 5 0 5 2 2 5 0 0 5 5 , 346.95/88.01 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.01 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.01 1 1 4 2 4 4 5 -> 1 4 4 1 3 5 1 1 2 5 , 346.95/88.01 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.01 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.01 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.01 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.01 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.01 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.01 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.01 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.01 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.01 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.01 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.01 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.01 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.01 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.01 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.01 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.01 346.95/88.01 346.95/88.01 The system was filtered by the following matrix interpretation 346.95/88.01 of type E_J with J = {1,...,2} and dimension 14: 346.95/88.01 346.95/88.01 1 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 \ / 346.95/88.01 5 is interpreted by 346.95/88.01 / \ 346.95/88.01 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 346.95/88.01 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.01 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 45-rule system 346.95/88.02 { 1 1 5 5 -> 2 2 0 2 1 3 0 3 0 4 , 346.95/88.02 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.02 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.02 1 4 4 1 1 5 -> 0 2 1 3 3 2 1 3 5 4 , 346.95/88.02 1 5 0 1 5 5 -> 2 5 5 3 4 3 2 0 3 4 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 1 4 2 4 4 5 -> 1 4 4 1 3 5 1 1 2 5 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.02 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.02 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 44-rule system 346.95/88.02 { 1 1 5 5 -> 2 2 0 2 1 3 0 3 0 4 , 346.95/88.02 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.02 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.02 1 5 0 1 5 5 -> 2 5 5 3 4 3 2 0 3 4 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 1 4 2 4 4 5 -> 1 4 4 1 3 5 1 1 2 5 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.02 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.02 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 43-rule system 346.95/88.02 { 1 1 5 5 -> 2 2 0 2 1 3 0 3 0 4 , 346.95/88.02 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.02 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.02 1 5 0 1 5 5 -> 2 5 5 3 4 3 2 0 3 4 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.02 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.02 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 11: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 42-rule system 346.95/88.02 { 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.02 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.02 1 5 0 1 5 5 -> 2 5 5 3 4 3 2 0 3 4 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.02 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.02 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 13: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 41-rule system 346.95/88.02 { 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.02 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 1 5 3 4 1 5 -> 4 1 2 3 4 3 3 5 2 5 , 346.95/88.02 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.02 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 40-rule system 346.95/88.02 { 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 0 5 1 2 4 5 -> 0 4 3 2 5 2 3 2 2 5 , 346.95/88.02 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.02 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 1 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 1 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 39-rule system 346.95/88.02 { 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 0 5 4 2 4 5 -> 3 1 5 3 0 3 5 2 5 3 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 2 4 5 4 2 -> 3 1 0 1 4 1 2 5 3 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 , 346.95/88.02 5 4 4 1 2 4 5 -> 2 1 5 3 2 1 5 0 3 5 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 1 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 1 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 1 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 36-rule system 346.95/88.02 { 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 2 5 0 1 1 5 -> 2 0 4 1 5 4 4 2 5 3 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 0 1 1 5 2 -> 2 2 1 1 2 5 1 2 1 3 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 1 5 4 3 0 -> 1 2 5 5 2 0 0 1 3 0 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 1 1 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 1 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 33-rule system 346.95/88.02 { 3 2 2 4 -> 4 2 0 2 0 4 1 3 2 0 , 346.95/88.02 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 9: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 32-rule system 346.95/88.02 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 1 2 3 2 4 5 -> 5 5 2 2 2 1 5 4 4 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 31-rule system 346.95/88.02 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 4 5 4 2 1 2 4 -> 3 4 3 4 3 0 0 1 3 0 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 17: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 30-rule system 346.95/88.02 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 0 4 2 4 5 1 1 -> 2 5 5 2 1 3 3 3 0 1 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 12: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 29-rule system 346.95/88.02 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 2 3 4 2 3 1 -> 2 2 2 5 5 2 0 0 5 4 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 22: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 28-rule system 346.95/88.02 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 4 5 1 1 -> 4 5 2 0 3 2 5 3 4 1 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 16: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 27-rule system 346.95/88.02 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 0 1 1 5 1 -> 4 0 2 2 2 5 2 4 2 5 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 12: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 5 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 2 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 0 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 3 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 1 1 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 4 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 0 1 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 | 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.02 \ / 346.95/88.02 346.95/88.02 Remains to prove termination of the 26-rule system 346.95/88.02 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.02 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.02 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.02 3 1 2 4 1 -> 4 2 2 1 4 2 0 3 5 3 , 346.95/88.02 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.02 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.02 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.02 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.02 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.02 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.02 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.02 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.02 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.02 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.02 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.02 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.02 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.02 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.02 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.02 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.02 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.02 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.02 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.02 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.02 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.02 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.02 346.95/88.02 346.95/88.02 The system was filtered by the following matrix interpretation 346.95/88.02 of type E_J with J = {1,...,2} and dimension 6: 346.95/88.02 346.95/88.02 1 is interpreted by 346.95/88.02 / \ 346.95/88.02 | 1 0 1 0 0 0 | 346.95/88.02 | 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 1 0 1 0 | 346.95/88.03 | 0 0 0 0 1 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 25-rule system 346.95/88.03 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.03 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.03 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.03 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.03 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.03 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.03 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.03 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.03 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.03 3 4 2 4 0 0 4 -> 4 4 4 2 2 0 3 0 5 5 , 346.95/88.03 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.03 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.03 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 13: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 24-rule system 346.95/88.03 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.03 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.03 0 0 2 4 1 -> 3 5 0 1 4 0 3 0 4 1 , 346.95/88.03 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.03 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.03 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.03 4 2 4 4 5 0 -> 3 3 5 1 2 2 5 1 0 0 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.03 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 2 4 1 0 4 3 2 -> 0 3 5 2 0 5 3 2 0 3 , 346.95/88.03 3 4 1 0 4 2 1 -> 1 3 5 5 3 3 2 5 2 1 , 346.95/88.03 3 4 2 4 3 5 3 -> 1 3 4 1 0 2 2 2 5 3 , 346.95/88.03 4 2 4 5 5 5 0 -> 4 4 1 3 0 2 5 4 2 0 , 346.95/88.03 4 4 3 1 2 3 1 -> 3 3 0 5 2 0 0 2 5 4 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 2 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 1 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 17-rule system 346.95/88.03 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.03 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.03 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.03 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.03 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 1 3 5 4 0 1 -> 1 0 2 3 5 0 2 2 5 0 , 346.95/88.03 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 16-rule system 346.95/88.03 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.03 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.03 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.03 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.03 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 2 0 1 5 0 1 -> 0 3 0 4 0 4 1 4 3 0 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 15-rule system 346.95/88.03 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.03 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.03 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 1 5 2 4 1 0 -> 0 3 4 4 0 4 1 2 3 4 , 346.95/88.03 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.03 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 1 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 14-rule system 346.95/88.03 { 4 0 1 0 -> 2 2 5 4 0 2 0 0 2 5 , 346.95/88.03 4 0 1 0 -> 3 5 2 2 2 5 1 0 2 5 , 346.95/88.03 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.03 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 5: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 | 346.95/88.03 | 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 | 346.95/88.03 | 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 12-rule system 346.95/88.03 { 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 4 0 0 1 1 0 -> 4 2 3 3 0 2 2 5 4 5 , 346.95/88.03 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 11-rule system 346.95/88.03 { 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 4 1 1 4 5 1 -> 3 3 2 5 1 4 3 2 3 0 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 10-rule system 346.95/88.03 { 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 4 5 2 3 4 1 -> 3 0 3 4 3 3 2 5 3 0 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 9-rule system 346.95/88.03 { 0 0 2 4 0 1 -> 2 2 1 2 2 3 1 2 5 1 , 346.95/88.03 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 8-rule system 346.95/88.03 { 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 1 1 0 5 5 0 -> 0 0 3 3 2 2 1 4 2 0 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 7-rule system 346.95/88.03 { 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 3 1 2 3 3 1 -> 2 5 0 3 0 3 4 5 3 1 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 6-rule system 346.95/88.03 { 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 0 4 0 0 4 2 1 -> 2 3 0 0 0 1 2 5 2 5 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 5-rule system 346.95/88.03 { 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 2 0 1 1 1 2 1 -> 2 2 0 4 3 1 2 2 5 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 4-rule system 346.95/88.03 { 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 1 5 3 5 4 4 2 -> 2 5 3 2 5 3 1 0 1 3 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 2: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 1 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 3-rule system 346.95/88.03 { 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 1 3 1 3 1 5 0 -> 1 1 3 2 5 2 2 3 2 5 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 2: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 1 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 | 346.95/88.03 | 0 1 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 2-rule system 346.95/88.03 { 5 5 3 0 0 3 -> 5 5 2 2 2 5 2 0 0 3 , 346.95/88.03 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 7: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 1-rule system 346.95/88.03 { 5 4 0 0 2 3 4 -> 2 5 3 1 5 0 4 0 3 4 } 346.95/88.03 346.95/88.03 346.95/88.03 The system was filtered by the following matrix interpretation 346.95/88.03 of type E_J with J = {1,...,2} and dimension 8: 346.95/88.03 346.95/88.03 1 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 5 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 1 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 2 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 1 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 0 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 1 0 0 0 | 346.95/88.03 | 0 0 0 0 0 1 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 3 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 1 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 4 is interpreted by 346.95/88.03 / \ 346.95/88.03 | 1 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 1 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 0 0 0 0 0 0 0 | 346.95/88.03 | 0 1 0 0 0 0 0 0 | 346.95/88.03 \ / 346.95/88.03 346.95/88.03 Remains to prove termination of the 0-rule system 346.95/88.03 { } 346.95/88.03 346.95/88.03 346.95/88.03 The system is trivially terminating. 348.83/89.26 EOF