43.14/11.36 YES 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 18: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 29-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 2 4 2 4 1 1 3 -> 5 4 1 1 5 5 3 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 5 1 2 0 0 4 5 1 2 -> 5 2 5 5 3 1 2 0 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 3 1 1 2 4 5 5 4 3 1 2 -> 5 0 4 1 1 4 0 1 0 3 2 , 44.78/11.69 1 4 0 4 0 1 3 4 3 3 4 0 -> 1 5 2 2 5 4 3 3 5 4 0 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 0 5 3 1 4 2 0 3 3 4 1 -> 2 4 3 5 5 1 5 4 2 2 4 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 1 1 4 0 0 4 3 1 4 1 1 0 3 1 5 -> 1 1 3 0 0 3 0 4 5 5 2 1 0 0 4 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 , 44.78/11.69 4 1 3 3 3 3 3 5 3 5 2 3 2 2 5 4 2 1 3 -> 4 1 2 2 0 0 5 0 0 0 2 1 2 4 0 0 4 0 0 0 , 44.78/11.69 1 2 2 1 3 0 5 5 2 1 5 5 3 4 0 0 0 0 0 0 3 -> 1 1 5 3 4 4 5 3 1 2 0 1 2 5 0 1 2 2 0 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 13: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 28-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 2 4 2 4 1 1 3 -> 5 4 1 1 5 5 3 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 5 1 2 0 0 4 5 1 2 -> 5 2 5 5 3 1 2 0 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 3 1 1 2 4 5 5 4 3 1 2 -> 5 0 4 1 1 4 0 1 0 3 2 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 0 5 3 1 4 2 0 3 3 4 1 -> 2 4 3 5 5 1 5 4 2 2 4 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 1 1 4 0 0 4 3 1 4 1 1 0 3 1 5 -> 1 1 3 0 0 3 0 4 5 5 2 1 0 0 4 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 , 44.78/11.69 4 1 3 3 3 3 3 5 3 5 2 3 2 2 5 4 2 1 3 -> 4 1 2 2 0 0 5 0 0 0 2 1 2 4 0 0 4 0 0 0 , 44.78/11.69 1 2 2 1 3 0 5 5 2 1 5 5 3 4 0 0 0 0 0 0 3 -> 1 1 5 3 4 4 5 3 1 2 0 1 2 5 0 1 2 2 0 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 22: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 27-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 2 4 2 4 1 1 3 -> 5 4 1 1 5 5 3 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 5 1 2 0 0 4 5 1 2 -> 5 2 5 5 3 1 2 0 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 3 1 1 2 4 5 5 4 3 1 2 -> 5 0 4 1 1 4 0 1 0 3 2 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 0 5 3 1 4 2 0 3 3 4 1 -> 2 4 3 5 5 1 5 4 2 2 4 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 1 1 4 0 0 4 3 1 4 1 1 0 3 1 5 -> 1 1 3 0 0 3 0 4 5 5 2 1 0 0 4 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 , 44.78/11.69 4 1 3 3 3 3 3 5 3 5 2 3 2 2 5 4 2 1 3 -> 4 1 2 2 0 0 5 0 0 0 2 1 2 4 0 0 4 0 0 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 14: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 26-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 2 4 2 4 1 1 3 -> 5 4 1 1 5 5 3 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 5 1 2 0 0 4 5 1 2 -> 5 2 5 5 3 1 2 0 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 3 1 1 2 4 5 5 4 3 1 2 -> 5 0 4 1 1 4 0 1 0 3 2 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 1 1 4 0 0 4 3 1 4 1 1 0 3 1 5 -> 1 1 3 0 0 3 0 4 5 5 2 1 0 0 4 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 , 44.78/11.69 4 1 3 3 3 3 3 5 3 5 2 3 2 2 5 4 2 1 3 -> 4 1 2 2 0 0 5 0 0 0 2 1 2 4 0 0 4 0 0 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 16: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 25-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 2 4 2 4 1 1 3 -> 5 4 1 1 5 5 3 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 5 1 2 0 0 4 5 1 2 -> 5 2 5 5 3 1 2 0 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 3 1 1 2 4 5 5 4 3 1 2 -> 5 0 4 1 1 4 0 1 0 3 2 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 , 44.78/11.69 4 1 3 3 3 3 3 5 3 5 2 3 2 2 5 4 2 1 3 -> 4 1 2 2 0 0 5 0 0 0 2 1 2 4 0 0 4 0 0 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 20: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 24-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 2 4 2 4 1 1 3 -> 5 4 1 1 5 5 3 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 5 1 2 0 0 4 5 1 2 -> 5 2 5 5 3 1 2 0 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 3 1 1 2 4 5 5 4 3 1 2 -> 5 0 4 1 1 4 0 1 0 3 2 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 24: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 23-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 5 1 2 0 0 4 5 1 2 -> 5 2 5 5 3 1 2 0 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 3 1 1 2 4 5 5 4 3 1 2 -> 5 0 4 1 1 4 0 1 0 3 2 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 12: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 22-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 5 1 2 0 0 4 5 1 2 -> 5 2 5 5 3 1 2 0 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 10: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 1 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 21-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 4 3 5 1 0 5 4 4 4 2 1 2 -> 2 3 3 1 5 2 2 1 3 3 2 2 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 17: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 20-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 3 2 0 2 1 5 3 -> 2 0 1 3 1 0 3 3 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 9: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 1 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 1 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 1 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 2 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 1 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 1 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 3 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 1 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 1 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 4 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 5 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 1 0 0 0 0 0 1 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 | 44.78/11.69 \ / 44.78/11.69 44.78/11.69 Remains to prove termination of the 19-rule system 44.78/11.69 { 0 1 2 -> 0 3 0 , 44.78/11.69 4 4 3 3 -> 5 4 4 , 44.78/11.69 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.69 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.69 3 2 5 5 2 5 1 4 3 -> 4 4 0 0 0 2 3 0 5 , 44.78/11.69 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.69 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.69 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.69 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.69 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.69 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.69 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.69 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.69 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.69 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.69 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.69 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.69 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.69 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 } 44.78/11.69 44.78/11.69 44.78/11.69 The system was filtered by the following matrix interpretation 44.78/11.69 of type E_J with J = {1,...,2} and dimension 14: 44.78/11.69 44.78/11.69 0 is interpreted by 44.78/11.69 / \ 44.78/11.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 18-rule system 44.78/11.70 { 0 1 2 -> 0 3 0 , 44.78/11.70 4 4 3 3 -> 5 4 4 , 44.78/11.70 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.70 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.70 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.70 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.70 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.70 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.70 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.70 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.70 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.70 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.70 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.70 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.70 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.70 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.70 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 , 44.78/11.70 3 2 5 4 1 0 2 2 0 5 3 2 5 3 1 0 1 0 -> 2 0 0 3 3 1 4 3 5 1 5 0 5 0 1 0 5 0 } 44.78/11.70 44.78/11.70 44.78/11.70 The system was filtered by the following matrix interpretation 44.78/11.70 of type E_J with J = {1,...,2} and dimension 19: 44.78/11.70 44.78/11.70 0 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 17-rule system 44.78/11.70 { 0 1 2 -> 0 3 0 , 44.78/11.70 4 4 3 3 -> 5 4 4 , 44.78/11.70 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.70 5 4 1 4 1 2 -> 4 4 1 4 0 0 , 44.78/11.70 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.70 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.70 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.70 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.70 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.70 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.70 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.70 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.70 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.70 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.70 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.70 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.70 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 } 44.78/11.70 44.78/11.70 44.78/11.70 The system was filtered by the following matrix interpretation 44.78/11.70 of type E_J with J = {1,...,2} and dimension 7: 44.78/11.70 44.78/11.70 0 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 1 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 1 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 1 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 1 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 16-rule system 44.78/11.70 { 0 1 2 -> 0 3 0 , 44.78/11.70 4 4 3 3 -> 5 4 4 , 44.78/11.70 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.70 3 3 4 0 0 2 4 0 0 -> 0 2 0 1 5 0 0 2 , 44.78/11.70 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.70 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.70 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.70 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.70 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.70 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.70 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.70 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.70 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.70 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.70 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.70 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 } 44.78/11.70 44.78/11.70 44.78/11.70 The system was filtered by the following matrix interpretation 44.78/11.70 of type E_J with J = {1,...,2} and dimension 10: 44.78/11.70 44.78/11.70 0 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 1 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 1 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 1 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 1 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 1 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 1 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 15-rule system 44.78/11.70 { 0 1 2 -> 0 3 0 , 44.78/11.70 4 4 3 3 -> 5 4 4 , 44.78/11.70 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.70 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.70 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.70 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.70 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.70 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.70 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.70 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.70 4 3 4 4 2 4 4 1 3 5 5 1 0 -> 4 5 1 1 5 3 5 3 2 1 3 2 2 , 44.78/11.70 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.70 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.70 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.70 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 } 44.78/11.70 44.78/11.70 44.78/11.70 The system was filtered by the following matrix interpretation 44.78/11.70 of type E_J with J = {1,...,2} and dimension 14: 44.78/11.70 44.78/11.70 0 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 14-rule system 44.78/11.70 { 0 1 2 -> 0 3 0 , 44.78/11.70 4 4 3 3 -> 5 4 4 , 44.78/11.70 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.70 0 0 4 2 2 1 0 3 1 5 -> 0 0 5 5 1 4 4 2 5 , 44.78/11.70 2 0 5 5 5 2 2 0 2 1 5 2 -> 2 2 0 2 4 5 0 5 0 3 0 4 , 44.78/11.70 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.70 0 2 2 0 2 0 5 1 4 2 3 4 3 -> 0 2 5 4 0 4 1 1 4 5 4 0 0 , 44.78/11.70 0 3 2 2 3 2 0 2 1 1 4 1 3 -> 0 0 0 2 0 3 5 1 5 1 2 3 5 , 44.78/11.70 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.70 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 , 44.78/11.70 2 5 4 5 1 1 1 1 3 2 1 5 0 1 2 -> 5 2 2 3 1 0 2 0 5 5 0 1 2 5 2 , 44.78/11.70 3 2 3 1 1 2 2 5 5 2 5 3 5 4 1 2 -> 2 0 5 3 3 0 4 5 3 5 5 0 3 0 0 0 0 , 44.78/11.70 4 5 5 4 4 2 0 5 1 3 2 1 3 0 0 4 5 -> 4 5 2 5 0 5 1 5 0 0 3 4 5 0 2 1 0 , 44.78/11.70 0 3 1 2 0 4 4 5 3 0 4 4 3 4 0 5 0 3 -> 4 4 3 4 0 2 2 2 3 0 1 1 0 5 3 1 0 } 44.78/11.70 44.78/11.70 44.78/11.70 The system was filtered by the following matrix interpretation 44.78/11.70 of type E_J with J = {1,...,2} and dimension 2: 44.78/11.70 44.78/11.70 0 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 1 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 3 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 2 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 3 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 2 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 3 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 4-rule system 44.78/11.70 { 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.70 2 3 5 0 0 2 3 0 2 1 0 1 -> 2 2 1 5 4 4 1 2 4 0 3 , 44.78/11.70 2 0 2 1 4 1 5 5 5 5 5 0 3 -> 2 2 0 3 5 2 2 2 3 1 2 0 5 3 , 44.78/11.70 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 } 44.78/11.70 44.78/11.70 44.78/11.70 The system was filtered by the following matrix interpretation 44.78/11.70 of type E_J with J = {1,...,2} and dimension 2: 44.78/11.70 44.78/11.70 0 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 1 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 1 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 2-rule system 44.78/11.70 { 3 0 0 3 5 -> 5 5 2 5 , 44.78/11.70 3 5 0 5 4 2 2 4 2 3 5 2 5 -> 3 3 2 3 5 1 4 1 0 0 5 0 5 } 44.78/11.70 44.78/11.70 44.78/11.70 The system was filtered by the following matrix interpretation 44.78/11.70 of type E_J with J = {1,...,2} and dimension 2: 44.78/11.70 44.78/11.70 0 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 1 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 1-rule system 44.78/11.70 { 3 0 0 3 5 -> 5 5 2 5 } 44.78/11.70 44.78/11.70 44.78/11.70 The system was filtered by the following matrix interpretation 44.78/11.70 of type E_J with J = {1,...,2} and dimension 2: 44.78/11.70 44.78/11.70 0 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 1 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 1 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 2 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 3 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 4 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 5 is interpreted by 44.78/11.70 / \ 44.78/11.70 | 1 0 | 44.78/11.70 | 0 1 | 44.78/11.70 \ / 44.78/11.70 44.78/11.70 Remains to prove termination of the 0-rule system 44.78/11.70 { } 44.78/11.70 44.78/11.70 44.78/11.70 The system is trivially terminating. 65.45/18.01 EOF