23.98/6.39 YES 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 14: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 2 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 3 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 4 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 24-rule system 25.80/6.83 { 0 1 2 3 -> 2 3 3 , 25.80/6.83 2 3 4 1 5 -> 2 5 0 3 2 , 25.80/6.83 3 2 3 2 1 5 -> 3 2 0 0 3 0 , 25.80/6.83 0 0 4 1 4 3 2 -> 5 5 3 3 0 1 , 25.80/6.83 5 1 2 1 0 0 3 2 -> 5 1 0 2 1 0 3 2 , 25.80/6.83 4 3 2 4 0 2 0 5 2 -> 0 5 1 1 2 2 1 2 , 25.80/6.83 2 0 3 1 4 2 5 2 4 5 -> 5 5 4 5 5 5 2 5 0 , 25.80/6.83 2 4 4 0 5 0 1 0 4 1 2 -> 2 4 1 3 4 0 2 0 2 5 2 , 25.80/6.83 3 5 3 1 4 4 5 5 4 2 1 -> 3 3 5 2 3 4 5 4 3 0 1 , 25.80/6.83 5 0 0 5 2 5 4 1 0 2 1 -> 5 4 5 4 5 1 1 1 3 2 , 25.80/6.83 4 1 4 3 3 2 3 0 1 3 5 1 -> 2 1 5 3 5 5 5 2 2 3 2 1 , 25.80/6.83 5 4 0 4 0 4 2 2 5 5 4 5 -> 5 4 5 2 5 3 2 2 5 1 4 5 , 25.80/6.83 3 4 4 1 0 2 3 3 1 4 5 5 5 3 -> 1 3 4 5 5 3 0 2 2 1 3 2 3 3 , 25.80/6.83 5 2 5 1 5 0 4 3 2 2 2 3 0 4 0 -> 5 4 3 4 0 3 2 2 1 3 4 4 5 4 4 , 25.80/6.83 0 5 2 1 1 1 3 4 1 0 4 5 5 4 2 5 -> 0 2 2 3 3 1 3 2 1 4 1 0 0 0 2 5 , 25.80/6.83 5 2 4 5 2 1 5 2 4 1 0 3 3 0 0 2 -> 2 2 2 0 3 0 5 0 3 2 4 4 4 0 1 3 , 25.80/6.83 0 1 0 2 3 5 3 4 0 2 4 1 1 2 5 1 3 5 -> 0 1 3 5 2 0 5 1 2 3 5 1 2 3 3 1 4 , 25.80/6.83 1 0 3 4 2 4 5 2 2 4 3 3 3 3 3 2 3 5 -> 1 0 0 2 5 3 5 2 3 4 2 0 0 3 2 3 2 4 1 , 25.80/6.83 2 2 0 3 5 5 1 3 3 0 0 3 0 3 4 3 5 4 -> 2 2 5 2 4 4 1 0 0 2 3 5 0 1 2 4 1 4 , 25.80/6.83 3 1 2 2 4 3 3 3 5 3 4 3 1 3 0 5 2 3 -> 3 1 5 3 4 3 2 5 5 5 3 2 5 5 1 5 2 3 , 25.80/6.83 5 0 2 1 2 2 1 5 1 4 2 0 3 1 5 4 4 5 -> 5 4 1 4 1 5 4 3 5 3 2 4 0 0 0 2 5 2 , 25.80/6.83 4 3 1 4 5 1 3 5 1 2 0 4 2 4 3 1 5 1 0 1 -> 5 1 3 5 3 4 4 2 2 5 1 0 0 2 4 4 2 3 0 0 1 , 25.80/6.83 1 1 2 4 5 1 4 4 1 3 1 3 1 4 4 4 3 3 4 1 2 -> 0 4 2 2 2 2 5 1 2 1 4 4 5 1 1 0 4 5 2 3 4 , 25.80/6.83 1 4 0 2 0 0 5 1 4 4 0 3 4 2 1 4 1 5 5 1 5 -> 1 1 3 3 2 2 2 0 5 3 4 5 3 2 1 0 1 2 4 3 4 } 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 9: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 1 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 1 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 1 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 1 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 2 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 1 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 3 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 4 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 23-rule system 25.80/6.83 { 0 1 2 3 -> 2 3 3 , 25.80/6.83 2 3 4 1 5 -> 2 5 0 3 2 , 25.80/6.83 3 2 3 2 1 5 -> 3 2 0 0 3 0 , 25.80/6.83 0 0 4 1 4 3 2 -> 5 5 3 3 0 1 , 25.80/6.83 4 3 2 4 0 2 0 5 2 -> 0 5 1 1 2 2 1 2 , 25.80/6.83 2 0 3 1 4 2 5 2 4 5 -> 5 5 4 5 5 5 2 5 0 , 25.80/6.83 2 4 4 0 5 0 1 0 4 1 2 -> 2 4 1 3 4 0 2 0 2 5 2 , 25.80/6.83 3 5 3 1 4 4 5 5 4 2 1 -> 3 3 5 2 3 4 5 4 3 0 1 , 25.80/6.83 5 0 0 5 2 5 4 1 0 2 1 -> 5 4 5 4 5 1 1 1 3 2 , 25.80/6.83 4 1 4 3 3 2 3 0 1 3 5 1 -> 2 1 5 3 5 5 5 2 2 3 2 1 , 25.80/6.83 5 4 0 4 0 4 2 2 5 5 4 5 -> 5 4 5 2 5 3 2 2 5 1 4 5 , 25.80/6.83 3 4 4 1 0 2 3 3 1 4 5 5 5 3 -> 1 3 4 5 5 3 0 2 2 1 3 2 3 3 , 25.80/6.83 5 2 5 1 5 0 4 3 2 2 2 3 0 4 0 -> 5 4 3 4 0 3 2 2 1 3 4 4 5 4 4 , 25.80/6.83 0 5 2 1 1 1 3 4 1 0 4 5 5 4 2 5 -> 0 2 2 3 3 1 3 2 1 4 1 0 0 0 2 5 , 25.80/6.83 5 2 4 5 2 1 5 2 4 1 0 3 3 0 0 2 -> 2 2 2 0 3 0 5 0 3 2 4 4 4 0 1 3 , 25.80/6.83 0 1 0 2 3 5 3 4 0 2 4 1 1 2 5 1 3 5 -> 0 1 3 5 2 0 5 1 2 3 5 1 2 3 3 1 4 , 25.80/6.83 1 0 3 4 2 4 5 2 2 4 3 3 3 3 3 2 3 5 -> 1 0 0 2 5 3 5 2 3 4 2 0 0 3 2 3 2 4 1 , 25.80/6.83 2 2 0 3 5 5 1 3 3 0 0 3 0 3 4 3 5 4 -> 2 2 5 2 4 4 1 0 0 2 3 5 0 1 2 4 1 4 , 25.80/6.83 3 1 2 2 4 3 3 3 5 3 4 3 1 3 0 5 2 3 -> 3 1 5 3 4 3 2 5 5 5 3 2 5 5 1 5 2 3 , 25.80/6.83 5 0 2 1 2 2 1 5 1 4 2 0 3 1 5 4 4 5 -> 5 4 1 4 1 5 4 3 5 3 2 4 0 0 0 2 5 2 , 25.80/6.83 4 3 1 4 5 1 3 5 1 2 0 4 2 4 3 1 5 1 0 1 -> 5 1 3 5 3 4 4 2 2 5 1 0 0 2 4 4 2 3 0 0 1 , 25.80/6.83 1 1 2 4 5 1 4 4 1 3 1 3 1 4 4 4 3 3 4 1 2 -> 0 4 2 2 2 2 5 1 2 1 4 4 5 1 1 0 4 5 2 3 4 , 25.80/6.83 1 4 0 2 0 0 5 1 4 4 0 3 4 2 1 4 1 5 5 1 5 -> 1 1 3 3 2 2 2 0 5 3 4 5 3 2 1 0 1 2 4 3 4 } 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 12: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 1 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 1 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 2 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 1 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 3 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 4 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 1 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 1 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 1 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 1 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 22-rule system 25.80/6.83 { 0 1 2 3 -> 2 3 3 , 25.80/6.83 2 3 4 1 5 -> 2 5 0 3 2 , 25.80/6.83 3 2 3 2 1 5 -> 3 2 0 0 3 0 , 25.80/6.83 0 0 4 1 4 3 2 -> 5 5 3 3 0 1 , 25.80/6.83 4 3 2 4 0 2 0 5 2 -> 0 5 1 1 2 2 1 2 , 25.80/6.83 2 0 3 1 4 2 5 2 4 5 -> 5 5 4 5 5 5 2 5 0 , 25.80/6.83 2 4 4 0 5 0 1 0 4 1 2 -> 2 4 1 3 4 0 2 0 2 5 2 , 25.80/6.83 3 5 3 1 4 4 5 5 4 2 1 -> 3 3 5 2 3 4 5 4 3 0 1 , 25.80/6.83 4 1 4 3 3 2 3 0 1 3 5 1 -> 2 1 5 3 5 5 5 2 2 3 2 1 , 25.80/6.83 5 4 0 4 0 4 2 2 5 5 4 5 -> 5 4 5 2 5 3 2 2 5 1 4 5 , 25.80/6.83 3 4 4 1 0 2 3 3 1 4 5 5 5 3 -> 1 3 4 5 5 3 0 2 2 1 3 2 3 3 , 25.80/6.83 5 2 5 1 5 0 4 3 2 2 2 3 0 4 0 -> 5 4 3 4 0 3 2 2 1 3 4 4 5 4 4 , 25.80/6.83 0 5 2 1 1 1 3 4 1 0 4 5 5 4 2 5 -> 0 2 2 3 3 1 3 2 1 4 1 0 0 0 2 5 , 25.80/6.83 5 2 4 5 2 1 5 2 4 1 0 3 3 0 0 2 -> 2 2 2 0 3 0 5 0 3 2 4 4 4 0 1 3 , 25.80/6.83 0 1 0 2 3 5 3 4 0 2 4 1 1 2 5 1 3 5 -> 0 1 3 5 2 0 5 1 2 3 5 1 2 3 3 1 4 , 25.80/6.83 1 0 3 4 2 4 5 2 2 4 3 3 3 3 3 2 3 5 -> 1 0 0 2 5 3 5 2 3 4 2 0 0 3 2 3 2 4 1 , 25.80/6.83 2 2 0 3 5 5 1 3 3 0 0 3 0 3 4 3 5 4 -> 2 2 5 2 4 4 1 0 0 2 3 5 0 1 2 4 1 4 , 25.80/6.83 3 1 2 2 4 3 3 3 5 3 4 3 1 3 0 5 2 3 -> 3 1 5 3 4 3 2 5 5 5 3 2 5 5 1 5 2 3 , 25.80/6.83 5 0 2 1 2 2 1 5 1 4 2 0 3 1 5 4 4 5 -> 5 4 1 4 1 5 4 3 5 3 2 4 0 0 0 2 5 2 , 25.80/6.83 4 3 1 4 5 1 3 5 1 2 0 4 2 4 3 1 5 1 0 1 -> 5 1 3 5 3 4 4 2 2 5 1 0 0 2 4 4 2 3 0 0 1 , 25.80/6.83 1 1 2 4 5 1 4 4 1 3 1 3 1 4 4 4 3 3 4 1 2 -> 0 4 2 2 2 2 5 1 2 1 4 4 5 1 1 0 4 5 2 3 4 , 25.80/6.83 1 4 0 2 0 0 5 1 4 4 0 3 4 2 1 4 1 5 5 1 5 -> 1 1 3 3 2 2 2 0 5 3 4 5 3 2 1 0 1 2 4 3 4 } 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 27: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 2 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 3 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 4 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 21-rule system 25.80/6.83 { 0 1 2 3 -> 2 3 3 , 25.80/6.83 2 3 4 1 5 -> 2 5 0 3 2 , 25.80/6.83 3 2 3 2 1 5 -> 3 2 0 0 3 0 , 25.80/6.83 0 0 4 1 4 3 2 -> 5 5 3 3 0 1 , 25.80/6.83 4 3 2 4 0 2 0 5 2 -> 0 5 1 1 2 2 1 2 , 25.80/6.83 2 0 3 1 4 2 5 2 4 5 -> 5 5 4 5 5 5 2 5 0 , 25.80/6.83 2 4 4 0 5 0 1 0 4 1 2 -> 2 4 1 3 4 0 2 0 2 5 2 , 25.80/6.83 4 1 4 3 3 2 3 0 1 3 5 1 -> 2 1 5 3 5 5 5 2 2 3 2 1 , 25.80/6.83 5 4 0 4 0 4 2 2 5 5 4 5 -> 5 4 5 2 5 3 2 2 5 1 4 5 , 25.80/6.83 3 4 4 1 0 2 3 3 1 4 5 5 5 3 -> 1 3 4 5 5 3 0 2 2 1 3 2 3 3 , 25.80/6.83 5 2 5 1 5 0 4 3 2 2 2 3 0 4 0 -> 5 4 3 4 0 3 2 2 1 3 4 4 5 4 4 , 25.80/6.83 0 5 2 1 1 1 3 4 1 0 4 5 5 4 2 5 -> 0 2 2 3 3 1 3 2 1 4 1 0 0 0 2 5 , 25.80/6.83 5 2 4 5 2 1 5 2 4 1 0 3 3 0 0 2 -> 2 2 2 0 3 0 5 0 3 2 4 4 4 0 1 3 , 25.80/6.83 0 1 0 2 3 5 3 4 0 2 4 1 1 2 5 1 3 5 -> 0 1 3 5 2 0 5 1 2 3 5 1 2 3 3 1 4 , 25.80/6.83 1 0 3 4 2 4 5 2 2 4 3 3 3 3 3 2 3 5 -> 1 0 0 2 5 3 5 2 3 4 2 0 0 3 2 3 2 4 1 , 25.80/6.83 2 2 0 3 5 5 1 3 3 0 0 3 0 3 4 3 5 4 -> 2 2 5 2 4 4 1 0 0 2 3 5 0 1 2 4 1 4 , 25.80/6.83 3 1 2 2 4 3 3 3 5 3 4 3 1 3 0 5 2 3 -> 3 1 5 3 4 3 2 5 5 5 3 2 5 5 1 5 2 3 , 25.80/6.83 5 0 2 1 2 2 1 5 1 4 2 0 3 1 5 4 4 5 -> 5 4 1 4 1 5 4 3 5 3 2 4 0 0 0 2 5 2 , 25.80/6.83 4 3 1 4 5 1 3 5 1 2 0 4 2 4 3 1 5 1 0 1 -> 5 1 3 5 3 4 4 2 2 5 1 0 0 2 4 4 2 3 0 0 1 , 25.80/6.83 1 1 2 4 5 1 4 4 1 3 1 3 1 4 4 4 3 3 4 1 2 -> 0 4 2 2 2 2 5 1 2 1 4 4 5 1 1 0 4 5 2 3 4 , 25.80/6.83 1 4 0 2 0 0 5 1 4 4 0 3 4 2 1 4 1 5 5 1 5 -> 1 1 3 3 2 2 2 0 5 3 4 5 3 2 1 0 1 2 4 3 4 } 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 21: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 2 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 3 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 4 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 20-rule system 25.80/6.83 { 0 1 2 3 -> 2 3 3 , 25.80/6.83 2 3 4 1 5 -> 2 5 0 3 2 , 25.80/6.83 3 2 3 2 1 5 -> 3 2 0 0 3 0 , 25.80/6.83 0 0 4 1 4 3 2 -> 5 5 3 3 0 1 , 25.80/6.83 4 3 2 4 0 2 0 5 2 -> 0 5 1 1 2 2 1 2 , 25.80/6.83 2 0 3 1 4 2 5 2 4 5 -> 5 5 4 5 5 5 2 5 0 , 25.80/6.83 2 4 4 0 5 0 1 0 4 1 2 -> 2 4 1 3 4 0 2 0 2 5 2 , 25.80/6.83 4 1 4 3 3 2 3 0 1 3 5 1 -> 2 1 5 3 5 5 5 2 2 3 2 1 , 25.80/6.83 5 4 0 4 0 4 2 2 5 5 4 5 -> 5 4 5 2 5 3 2 2 5 1 4 5 , 25.80/6.83 3 4 4 1 0 2 3 3 1 4 5 5 5 3 -> 1 3 4 5 5 3 0 2 2 1 3 2 3 3 , 25.80/6.83 5 2 5 1 5 0 4 3 2 2 2 3 0 4 0 -> 5 4 3 4 0 3 2 2 1 3 4 4 5 4 4 , 25.80/6.83 0 5 2 1 1 1 3 4 1 0 4 5 5 4 2 5 -> 0 2 2 3 3 1 3 2 1 4 1 0 0 0 2 5 , 25.80/6.83 5 2 4 5 2 1 5 2 4 1 0 3 3 0 0 2 -> 2 2 2 0 3 0 5 0 3 2 4 4 4 0 1 3 , 25.80/6.83 0 1 0 2 3 5 3 4 0 2 4 1 1 2 5 1 3 5 -> 0 1 3 5 2 0 5 1 2 3 5 1 2 3 3 1 4 , 25.80/6.83 1 0 3 4 2 4 5 2 2 4 3 3 3 3 3 2 3 5 -> 1 0 0 2 5 3 5 2 3 4 2 0 0 3 2 3 2 4 1 , 25.80/6.83 2 2 0 3 5 5 1 3 3 0 0 3 0 3 4 3 5 4 -> 2 2 5 2 4 4 1 0 0 2 3 5 0 1 2 4 1 4 , 25.80/6.83 3 1 2 2 4 3 3 3 5 3 4 3 1 3 0 5 2 3 -> 3 1 5 3 4 3 2 5 5 5 3 2 5 5 1 5 2 3 , 25.80/6.83 5 0 2 1 2 2 1 5 1 4 2 0 3 1 5 4 4 5 -> 5 4 1 4 1 5 4 3 5 3 2 4 0 0 0 2 5 2 , 25.80/6.83 1 1 2 4 5 1 4 4 1 3 1 3 1 4 4 4 3 3 4 1 2 -> 0 4 2 2 2 2 5 1 2 1 4 4 5 1 1 0 4 5 2 3 4 , 25.80/6.83 1 4 0 2 0 0 5 1 4 4 0 3 4 2 1 4 1 5 5 1 5 -> 1 1 3 3 2 2 2 0 5 3 4 5 3 2 1 0 1 2 4 3 4 } 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 37: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 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25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 19-rule system 25.80/6.83 { 0 1 2 3 -> 2 3 3 , 25.80/6.83 2 3 4 1 5 -> 2 5 0 3 2 , 25.80/6.83 3 2 3 2 1 5 -> 3 2 0 0 3 0 , 25.80/6.83 0 0 4 1 4 3 2 -> 5 5 3 3 0 1 , 25.80/6.83 4 3 2 4 0 2 0 5 2 -> 0 5 1 1 2 2 1 2 , 25.80/6.83 2 0 3 1 4 2 5 2 4 5 -> 5 5 4 5 5 5 2 5 0 , 25.80/6.83 2 4 4 0 5 0 1 0 4 1 2 -> 2 4 1 3 4 0 2 0 2 5 2 , 25.80/6.83 4 1 4 3 3 2 3 0 1 3 5 1 -> 2 1 5 3 5 5 5 2 2 3 2 1 , 25.80/6.83 5 4 0 4 0 4 2 2 5 5 4 5 -> 5 4 5 2 5 3 2 2 5 1 4 5 , 25.80/6.83 3 4 4 1 0 2 3 3 1 4 5 5 5 3 -> 1 3 4 5 5 3 0 2 2 1 3 2 3 3 , 25.80/6.83 5 2 5 1 5 0 4 3 2 2 2 3 0 4 0 -> 5 4 3 4 0 3 2 2 1 3 4 4 5 4 4 , 25.80/6.83 0 5 2 1 1 1 3 4 1 0 4 5 5 4 2 5 -> 0 2 2 3 3 1 3 2 1 4 1 0 0 0 2 5 , 25.80/6.83 5 2 4 5 2 1 5 2 4 1 0 3 3 0 0 2 -> 2 2 2 0 3 0 5 0 3 2 4 4 4 0 1 3 , 25.80/6.83 0 1 0 2 3 5 3 4 0 2 4 1 1 2 5 1 3 5 -> 0 1 3 5 2 0 5 1 2 3 5 1 2 3 3 1 4 , 25.80/6.83 1 0 3 4 2 4 5 2 2 4 3 3 3 3 3 2 3 5 -> 1 0 0 2 5 3 5 2 3 4 2 0 0 3 2 3 2 4 1 , 25.80/6.83 2 2 0 3 5 5 1 3 3 0 0 3 0 3 4 3 5 4 -> 2 2 5 2 4 4 1 0 0 2 3 5 0 1 2 4 1 4 , 25.80/6.83 5 0 2 1 2 2 1 5 1 4 2 0 3 1 5 4 4 5 -> 5 4 1 4 1 5 4 3 5 3 2 4 0 0 0 2 5 2 , 25.80/6.83 1 1 2 4 5 1 4 4 1 3 1 3 1 4 4 4 3 3 4 1 2 -> 0 4 2 2 2 2 5 1 2 1 4 4 5 1 1 0 4 5 2 3 4 , 25.80/6.83 1 4 0 2 0 0 5 1 4 4 0 3 4 2 1 4 1 5 5 1 5 -> 1 1 3 3 2 2 2 0 5 3 4 5 3 2 1 0 1 2 4 3 4 } 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 16: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 2 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 3 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 4 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 18-rule system 25.80/6.83 { 0 1 2 3 -> 2 3 3 , 25.80/6.83 2 3 4 1 5 -> 2 5 0 3 2 , 25.80/6.83 3 2 3 2 1 5 -> 3 2 0 0 3 0 , 25.80/6.83 0 0 4 1 4 3 2 -> 5 5 3 3 0 1 , 25.80/6.83 4 3 2 4 0 2 0 5 2 -> 0 5 1 1 2 2 1 2 , 25.80/6.83 2 0 3 1 4 2 5 2 4 5 -> 5 5 4 5 5 5 2 5 0 , 25.80/6.83 2 4 4 0 5 0 1 0 4 1 2 -> 2 4 1 3 4 0 2 0 2 5 2 , 25.80/6.83 4 1 4 3 3 2 3 0 1 3 5 1 -> 2 1 5 3 5 5 5 2 2 3 2 1 , 25.80/6.83 5 4 0 4 0 4 2 2 5 5 4 5 -> 5 4 5 2 5 3 2 2 5 1 4 5 , 25.80/6.83 3 4 4 1 0 2 3 3 1 4 5 5 5 3 -> 1 3 4 5 5 3 0 2 2 1 3 2 3 3 , 25.80/6.83 0 5 2 1 1 1 3 4 1 0 4 5 5 4 2 5 -> 0 2 2 3 3 1 3 2 1 4 1 0 0 0 2 5 , 25.80/6.83 5 2 4 5 2 1 5 2 4 1 0 3 3 0 0 2 -> 2 2 2 0 3 0 5 0 3 2 4 4 4 0 1 3 , 25.80/6.83 0 1 0 2 3 5 3 4 0 2 4 1 1 2 5 1 3 5 -> 0 1 3 5 2 0 5 1 2 3 5 1 2 3 3 1 4 , 25.80/6.83 1 0 3 4 2 4 5 2 2 4 3 3 3 3 3 2 3 5 -> 1 0 0 2 5 3 5 2 3 4 2 0 0 3 2 3 2 4 1 , 25.80/6.83 2 2 0 3 5 5 1 3 3 0 0 3 0 3 4 3 5 4 -> 2 2 5 2 4 4 1 0 0 2 3 5 0 1 2 4 1 4 , 25.80/6.83 5 0 2 1 2 2 1 5 1 4 2 0 3 1 5 4 4 5 -> 5 4 1 4 1 5 4 3 5 3 2 4 0 0 0 2 5 2 , 25.80/6.83 1 1 2 4 5 1 4 4 1 3 1 3 1 4 4 4 3 3 4 1 2 -> 0 4 2 2 2 2 5 1 2 1 4 4 5 1 1 0 4 5 2 3 4 , 25.80/6.83 1 4 0 2 0 0 5 1 4 4 0 3 4 2 1 4 1 5 5 1 5 -> 1 1 3 3 2 2 2 0 5 3 4 5 3 2 1 0 1 2 4 3 4 } 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 2: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 3 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 5 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 2 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 2 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 3 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 4 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 4 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 4 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 3 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 4-rule system 25.80/6.83 { 4 3 2 4 0 2 0 5 2 -> 0 5 1 1 2 2 1 2 , 25.80/6.83 5 4 0 4 0 4 2 2 5 5 4 5 -> 5 4 5 2 5 3 2 2 5 1 4 5 , 25.80/6.83 5 2 4 5 2 1 5 2 4 1 0 3 3 0 0 2 -> 2 2 2 0 3 0 5 0 3 2 4 4 4 0 1 3 , 25.80/6.83 1 0 3 4 2 4 5 2 2 4 3 3 3 3 3 2 3 5 -> 1 0 0 2 5 3 5 2 3 4 2 0 0 3 2 3 2 4 1 } 25.80/6.83 25.80/6.83 25.80/6.83 The system was filtered by the following matrix interpretation 25.80/6.83 of type E_J with J = {1,...,2} and dimension 2: 25.80/6.83 25.80/6.83 0 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 1 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 2 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 3 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 0 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 4 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 1 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 5 is interpreted by 25.80/6.83 / \ 25.80/6.83 | 1 1 | 25.80/6.83 | 0 1 | 25.80/6.83 \ / 25.80/6.83 25.80/6.83 Remains to prove termination of the 0-rule system 25.80/6.83 { } 25.80/6.83 25.80/6.83 25.80/6.83 The system is trivially terminating. 44.64/12.66 EOF