12.68/3.48 YES 13.53/3.69 13.53/3.69 13.53/3.69 The system was filtered by the following matrix interpretation 13.53/3.69 of type E_J with J = {1,...,2} and dimension 19: 13.53/3.69 13.53/3.69 0 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 1 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 2 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 3 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 4 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 5 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 13.53/3.69 Remains to prove termination of the 24-rule system 13.53/3.69 { 0 1 2 2 -> 3 3 2 , 13.53/3.69 4 1 1 0 2 -> 0 3 2 0 , 13.53/3.69 4 5 3 4 5 -> 2 3 1 5 , 13.53/3.69 0 0 5 2 2 0 -> 3 5 0 3 2 , 13.53/3.69 2 0 1 2 0 3 -> 2 5 3 2 3 , 13.53/3.69 0 5 1 5 4 0 4 1 0 -> 2 4 2 1 1 2 5 5 , 13.53/3.69 1 4 3 0 0 5 1 4 3 -> 5 4 2 5 2 2 4 3 , 13.53/3.69 2 5 2 3 4 0 0 4 4 3 -> 3 0 3 5 2 1 2 2 3 , 13.53/3.69 4 2 1 3 2 4 4 2 4 2 -> 3 0 3 3 4 1 3 4 2 2 , 13.53/3.69 1 1 5 4 0 2 0 3 4 0 2 -> 1 5 0 4 2 2 0 0 3 0 1 , 13.53/3.69 3 3 1 4 4 2 2 1 1 3 4 -> 3 3 3 5 5 5 4 1 2 3 , 13.53/3.69 4 4 2 0 3 1 2 0 0 0 1 -> 4 0 0 3 3 1 1 5 0 1 , 13.53/3.69 4 4 4 3 1 1 3 0 3 0 3 -> 1 4 3 4 4 3 5 3 0 3 , 13.53/3.69 4 2 4 5 0 4 0 5 3 1 0 5 3 -> 4 0 4 5 5 0 3 0 5 5 5 4 , 13.53/3.69 4 5 4 0 3 0 2 1 5 5 4 2 2 -> 2 1 0 0 1 2 0 0 4 0 1 2 3 3 , 13.53/3.69 1 1 1 5 1 0 5 3 1 5 4 4 0 0 -> 5 5 2 4 4 0 4 0 5 0 4 2 4 5 , 13.53/3.69 4 0 0 5 2 4 3 4 3 4 4 0 0 3 -> 3 0 3 4 0 1 2 4 0 5 2 5 3 , 13.53/3.69 5 2 5 0 1 1 3 0 4 4 2 4 3 2 -> 5 3 2 0 1 2 5 1 2 2 5 1 3 , 13.53/3.69 4 0 1 5 3 3 4 0 4 4 4 5 4 0 2 -> 4 4 0 1 5 5 3 1 3 4 1 4 4 4 1 , 13.53/3.69 4 1 5 0 3 4 0 3 2 5 5 0 4 0 0 3 -> 2 1 3 3 4 2 1 4 3 0 0 0 1 2 3 , 13.53/3.69 1 4 1 2 3 5 3 0 0 5 3 4 2 2 2 5 2 1 -> 1 5 4 4 3 4 1 0 3 4 5 0 0 5 5 1 2 5 , 13.53/3.69 4 2 5 0 2 3 3 2 1 4 0 2 4 0 2 5 3 4 -> 4 0 2 4 5 2 2 1 0 2 3 0 5 1 4 5 2 4 , 13.53/3.69 0 4 4 2 5 4 5 0 3 5 3 4 3 1 4 1 2 1 0 -> 3 0 4 0 2 0 5 3 2 5 3 4 4 3 4 4 3 4 , 13.53/3.69 4 5 2 1 1 3 3 5 4 4 4 4 3 3 4 0 2 1 4 2 2 -> 2 1 4 3 1 3 1 1 1 2 3 4 3 4 4 2 3 0 2 1 } 13.53/3.69 13.53/3.69 13.53/3.69 The system was filtered by the following matrix interpretation 13.53/3.69 of type E_J with J = {1,...,2} and dimension 22: 13.53/3.69 13.53/3.69 0 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 1 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 2 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 3 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 4 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 5 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 13.53/3.69 Remains to prove termination of the 23-rule system 13.53/3.69 { 0 1 2 2 -> 3 3 2 , 13.53/3.69 4 1 1 0 2 -> 0 3 2 0 , 13.53/3.69 4 5 3 4 5 -> 2 3 1 5 , 13.53/3.69 0 0 5 2 2 0 -> 3 5 0 3 2 , 13.53/3.69 2 0 1 2 0 3 -> 2 5 3 2 3 , 13.53/3.69 0 5 1 5 4 0 4 1 0 -> 2 4 2 1 1 2 5 5 , 13.53/3.69 1 4 3 0 0 5 1 4 3 -> 5 4 2 5 2 2 4 3 , 13.53/3.69 2 5 2 3 4 0 0 4 4 3 -> 3 0 3 5 2 1 2 2 3 , 13.53/3.69 4 2 1 3 2 4 4 2 4 2 -> 3 0 3 3 4 1 3 4 2 2 , 13.53/3.69 1 1 5 4 0 2 0 3 4 0 2 -> 1 5 0 4 2 2 0 0 3 0 1 , 13.53/3.69 3 3 1 4 4 2 2 1 1 3 4 -> 3 3 3 5 5 5 4 1 2 3 , 13.53/3.69 4 4 2 0 3 1 2 0 0 0 1 -> 4 0 0 3 3 1 1 5 0 1 , 13.53/3.69 4 4 4 3 1 1 3 0 3 0 3 -> 1 4 3 4 4 3 5 3 0 3 , 13.53/3.69 4 2 4 5 0 4 0 5 3 1 0 5 3 -> 4 0 4 5 5 0 3 0 5 5 5 4 , 13.53/3.69 4 5 4 0 3 0 2 1 5 5 4 2 2 -> 2 1 0 0 1 2 0 0 4 0 1 2 3 3 , 13.53/3.69 1 1 1 5 1 0 5 3 1 5 4 4 0 0 -> 5 5 2 4 4 0 4 0 5 0 4 2 4 5 , 13.53/3.69 4 0 0 5 2 4 3 4 3 4 4 0 0 3 -> 3 0 3 4 0 1 2 4 0 5 2 5 3 , 13.53/3.69 5 2 5 0 1 1 3 0 4 4 2 4 3 2 -> 5 3 2 0 1 2 5 1 2 2 5 1 3 , 13.53/3.69 4 0 1 5 3 3 4 0 4 4 4 5 4 0 2 -> 4 4 0 1 5 5 3 1 3 4 1 4 4 4 1 , 13.53/3.69 4 1 5 0 3 4 0 3 2 5 5 0 4 0 0 3 -> 2 1 3 3 4 2 1 4 3 0 0 0 1 2 3 , 13.53/3.69 1 4 1 2 3 5 3 0 0 5 3 4 2 2 2 5 2 1 -> 1 5 4 4 3 4 1 0 3 4 5 0 0 5 5 1 2 5 , 13.53/3.69 0 4 4 2 5 4 5 0 3 5 3 4 3 1 4 1 2 1 0 -> 3 0 4 0 2 0 5 3 2 5 3 4 4 3 4 4 3 4 , 13.53/3.69 4 5 2 1 1 3 3 5 4 4 4 4 3 3 4 0 2 1 4 2 2 -> 2 1 4 3 1 3 1 1 1 2 3 4 3 4 4 2 3 0 2 1 } 13.53/3.69 13.53/3.69 13.53/3.69 The system was filtered by the following matrix interpretation 13.53/3.69 of type E_J with J = {1,...,2} and dimension 10: 13.53/3.69 13.53/3.69 0 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 1 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 1 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 1 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 2 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 1 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 3 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 4 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 1 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 1 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 5 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 1 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 1 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 13.53/3.69 Remains to prove termination of the 22-rule system 13.53/3.69 { 0 1 2 2 -> 3 3 2 , 13.53/3.69 4 1 1 0 2 -> 0 3 2 0 , 13.53/3.69 4 5 3 4 5 -> 2 3 1 5 , 13.53/3.69 0 0 5 2 2 0 -> 3 5 0 3 2 , 13.53/3.69 2 0 1 2 0 3 -> 2 5 3 2 3 , 13.53/3.69 1 4 3 0 0 5 1 4 3 -> 5 4 2 5 2 2 4 3 , 13.53/3.69 2 5 2 3 4 0 0 4 4 3 -> 3 0 3 5 2 1 2 2 3 , 13.53/3.69 4 2 1 3 2 4 4 2 4 2 -> 3 0 3 3 4 1 3 4 2 2 , 13.53/3.69 1 1 5 4 0 2 0 3 4 0 2 -> 1 5 0 4 2 2 0 0 3 0 1 , 13.53/3.69 3 3 1 4 4 2 2 1 1 3 4 -> 3 3 3 5 5 5 4 1 2 3 , 13.53/3.69 4 4 2 0 3 1 2 0 0 0 1 -> 4 0 0 3 3 1 1 5 0 1 , 13.53/3.69 4 4 4 3 1 1 3 0 3 0 3 -> 1 4 3 4 4 3 5 3 0 3 , 13.53/3.69 4 2 4 5 0 4 0 5 3 1 0 5 3 -> 4 0 4 5 5 0 3 0 5 5 5 4 , 13.53/3.69 4 5 4 0 3 0 2 1 5 5 4 2 2 -> 2 1 0 0 1 2 0 0 4 0 1 2 3 3 , 13.53/3.69 1 1 1 5 1 0 5 3 1 5 4 4 0 0 -> 5 5 2 4 4 0 4 0 5 0 4 2 4 5 , 13.53/3.69 4 0 0 5 2 4 3 4 3 4 4 0 0 3 -> 3 0 3 4 0 1 2 4 0 5 2 5 3 , 13.53/3.69 5 2 5 0 1 1 3 0 4 4 2 4 3 2 -> 5 3 2 0 1 2 5 1 2 2 5 1 3 , 13.53/3.69 4 0 1 5 3 3 4 0 4 4 4 5 4 0 2 -> 4 4 0 1 5 5 3 1 3 4 1 4 4 4 1 , 13.53/3.69 4 1 5 0 3 4 0 3 2 5 5 0 4 0 0 3 -> 2 1 3 3 4 2 1 4 3 0 0 0 1 2 3 , 13.53/3.69 1 4 1 2 3 5 3 0 0 5 3 4 2 2 2 5 2 1 -> 1 5 4 4 3 4 1 0 3 4 5 0 0 5 5 1 2 5 , 13.53/3.69 0 4 4 2 5 4 5 0 3 5 3 4 3 1 4 1 2 1 0 -> 3 0 4 0 2 0 5 3 2 5 3 4 4 3 4 4 3 4 , 13.53/3.69 4 5 2 1 1 3 3 5 4 4 4 4 3 3 4 0 2 1 4 2 2 -> 2 1 4 3 1 3 1 1 1 2 3 4 3 4 4 2 3 0 2 1 } 13.53/3.69 13.53/3.69 13.53/3.69 The system was filtered by the following matrix interpretation 13.53/3.69 of type E_J with J = {1,...,2} and dimension 7: 13.53/3.69 13.53/3.69 0 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 1 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 1 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 2 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 1 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 1 0 | 13.53/3.69 | 0 0 0 0 0 0 1 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 3 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 4 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 5 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 1 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 13.53/3.69 Remains to prove termination of the 21-rule system 13.53/3.69 { 0 1 2 2 -> 3 3 2 , 13.53/3.69 4 1 1 0 2 -> 0 3 2 0 , 13.53/3.69 4 5 3 4 5 -> 2 3 1 5 , 13.53/3.69 2 0 1 2 0 3 -> 2 5 3 2 3 , 13.53/3.69 1 4 3 0 0 5 1 4 3 -> 5 4 2 5 2 2 4 3 , 13.53/3.69 2 5 2 3 4 0 0 4 4 3 -> 3 0 3 5 2 1 2 2 3 , 13.53/3.69 4 2 1 3 2 4 4 2 4 2 -> 3 0 3 3 4 1 3 4 2 2 , 13.53/3.69 1 1 5 4 0 2 0 3 4 0 2 -> 1 5 0 4 2 2 0 0 3 0 1 , 13.53/3.69 3 3 1 4 4 2 2 1 1 3 4 -> 3 3 3 5 5 5 4 1 2 3 , 13.53/3.69 4 4 2 0 3 1 2 0 0 0 1 -> 4 0 0 3 3 1 1 5 0 1 , 13.53/3.69 4 4 4 3 1 1 3 0 3 0 3 -> 1 4 3 4 4 3 5 3 0 3 , 13.53/3.69 4 2 4 5 0 4 0 5 3 1 0 5 3 -> 4 0 4 5 5 0 3 0 5 5 5 4 , 13.53/3.69 4 5 4 0 3 0 2 1 5 5 4 2 2 -> 2 1 0 0 1 2 0 0 4 0 1 2 3 3 , 13.53/3.69 1 1 1 5 1 0 5 3 1 5 4 4 0 0 -> 5 5 2 4 4 0 4 0 5 0 4 2 4 5 , 13.53/3.69 4 0 0 5 2 4 3 4 3 4 4 0 0 3 -> 3 0 3 4 0 1 2 4 0 5 2 5 3 , 13.53/3.69 5 2 5 0 1 1 3 0 4 4 2 4 3 2 -> 5 3 2 0 1 2 5 1 2 2 5 1 3 , 13.53/3.69 4 0 1 5 3 3 4 0 4 4 4 5 4 0 2 -> 4 4 0 1 5 5 3 1 3 4 1 4 4 4 1 , 13.53/3.69 4 1 5 0 3 4 0 3 2 5 5 0 4 0 0 3 -> 2 1 3 3 4 2 1 4 3 0 0 0 1 2 3 , 13.53/3.69 1 4 1 2 3 5 3 0 0 5 3 4 2 2 2 5 2 1 -> 1 5 4 4 3 4 1 0 3 4 5 0 0 5 5 1 2 5 , 13.53/3.69 0 4 4 2 5 4 5 0 3 5 3 4 3 1 4 1 2 1 0 -> 3 0 4 0 2 0 5 3 2 5 3 4 4 3 4 4 3 4 , 13.53/3.69 4 5 2 1 1 3 3 5 4 4 4 4 3 3 4 0 2 1 4 2 2 -> 2 1 4 3 1 3 1 1 1 2 3 4 3 4 4 2 3 0 2 1 } 13.53/3.69 13.53/3.69 13.53/3.69 The system was filtered by the following matrix interpretation 13.53/3.69 of type E_J with J = {1,...,2} and dimension 12: 13.53/3.69 13.53/3.69 0 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 1 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 1 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 1 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 1 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 1 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 1 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 2 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 1 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 1 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 3 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 4 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 5 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 13.53/3.69 Remains to prove termination of the 20-rule system 13.53/3.69 { 0 1 2 2 -> 3 3 2 , 13.53/3.69 4 1 1 0 2 -> 0 3 2 0 , 13.53/3.69 4 5 3 4 5 -> 2 3 1 5 , 13.53/3.69 2 0 1 2 0 3 -> 2 5 3 2 3 , 13.53/3.69 1 4 3 0 0 5 1 4 3 -> 5 4 2 5 2 2 4 3 , 13.53/3.69 2 5 2 3 4 0 0 4 4 3 -> 3 0 3 5 2 1 2 2 3 , 13.53/3.69 4 2 1 3 2 4 4 2 4 2 -> 3 0 3 3 4 1 3 4 2 2 , 13.53/3.69 1 1 5 4 0 2 0 3 4 0 2 -> 1 5 0 4 2 2 0 0 3 0 1 , 13.53/3.69 3 3 1 4 4 2 2 1 1 3 4 -> 3 3 3 5 5 5 4 1 2 3 , 13.53/3.69 4 4 4 3 1 1 3 0 3 0 3 -> 1 4 3 4 4 3 5 3 0 3 , 13.53/3.69 4 2 4 5 0 4 0 5 3 1 0 5 3 -> 4 0 4 5 5 0 3 0 5 5 5 4 , 13.53/3.69 4 5 4 0 3 0 2 1 5 5 4 2 2 -> 2 1 0 0 1 2 0 0 4 0 1 2 3 3 , 13.53/3.69 1 1 1 5 1 0 5 3 1 5 4 4 0 0 -> 5 5 2 4 4 0 4 0 5 0 4 2 4 5 , 13.53/3.69 4 0 0 5 2 4 3 4 3 4 4 0 0 3 -> 3 0 3 4 0 1 2 4 0 5 2 5 3 , 13.53/3.69 5 2 5 0 1 1 3 0 4 4 2 4 3 2 -> 5 3 2 0 1 2 5 1 2 2 5 1 3 , 13.53/3.69 4 0 1 5 3 3 4 0 4 4 4 5 4 0 2 -> 4 4 0 1 5 5 3 1 3 4 1 4 4 4 1 , 13.53/3.69 4 1 5 0 3 4 0 3 2 5 5 0 4 0 0 3 -> 2 1 3 3 4 2 1 4 3 0 0 0 1 2 3 , 13.53/3.69 1 4 1 2 3 5 3 0 0 5 3 4 2 2 2 5 2 1 -> 1 5 4 4 3 4 1 0 3 4 5 0 0 5 5 1 2 5 , 13.53/3.69 0 4 4 2 5 4 5 0 3 5 3 4 3 1 4 1 2 1 0 -> 3 0 4 0 2 0 5 3 2 5 3 4 4 3 4 4 3 4 , 13.53/3.69 4 5 2 1 1 3 3 5 4 4 4 4 3 3 4 0 2 1 4 2 2 -> 2 1 4 3 1 3 1 1 1 2 3 4 3 4 4 2 3 0 2 1 } 13.53/3.69 13.53/3.69 13.53/3.69 The system was filtered by the following matrix interpretation 13.53/3.69 of type E_J with J = {1,...,2} and dimension 15: 13.53/3.69 13.53/3.69 0 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 1 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 2 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 3 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 4 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 5 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 13.53/3.69 \ / 13.53/3.69 13.53/3.69 Remains to prove termination of the 19-rule system 13.53/3.69 { 0 1 2 2 -> 3 3 2 , 13.53/3.69 4 1 1 0 2 -> 0 3 2 0 , 13.53/3.69 4 5 3 4 5 -> 2 3 1 5 , 13.53/3.69 2 0 1 2 0 3 -> 2 5 3 2 3 , 13.53/3.69 1 4 3 0 0 5 1 4 3 -> 5 4 2 5 2 2 4 3 , 13.53/3.69 2 5 2 3 4 0 0 4 4 3 -> 3 0 3 5 2 1 2 2 3 , 13.53/3.69 4 2 1 3 2 4 4 2 4 2 -> 3 0 3 3 4 1 3 4 2 2 , 13.53/3.69 1 1 5 4 0 2 0 3 4 0 2 -> 1 5 0 4 2 2 0 0 3 0 1 , 13.53/3.69 3 3 1 4 4 2 2 1 1 3 4 -> 3 3 3 5 5 5 4 1 2 3 , 13.53/3.69 4 4 4 3 1 1 3 0 3 0 3 -> 1 4 3 4 4 3 5 3 0 3 , 13.53/3.69 4 2 4 5 0 4 0 5 3 1 0 5 3 -> 4 0 4 5 5 0 3 0 5 5 5 4 , 13.53/3.69 4 5 4 0 3 0 2 1 5 5 4 2 2 -> 2 1 0 0 1 2 0 0 4 0 1 2 3 3 , 13.53/3.69 4 0 0 5 2 4 3 4 3 4 4 0 0 3 -> 3 0 3 4 0 1 2 4 0 5 2 5 3 , 13.53/3.69 5 2 5 0 1 1 3 0 4 4 2 4 3 2 -> 5 3 2 0 1 2 5 1 2 2 5 1 3 , 13.53/3.69 4 0 1 5 3 3 4 0 4 4 4 5 4 0 2 -> 4 4 0 1 5 5 3 1 3 4 1 4 4 4 1 , 13.53/3.69 4 1 5 0 3 4 0 3 2 5 5 0 4 0 0 3 -> 2 1 3 3 4 2 1 4 3 0 0 0 1 2 3 , 13.53/3.69 1 4 1 2 3 5 3 0 0 5 3 4 2 2 2 5 2 1 -> 1 5 4 4 3 4 1 0 3 4 5 0 0 5 5 1 2 5 , 13.53/3.69 0 4 4 2 5 4 5 0 3 5 3 4 3 1 4 1 2 1 0 -> 3 0 4 0 2 0 5 3 2 5 3 4 4 3 4 4 3 4 , 13.53/3.69 4 5 2 1 1 3 3 5 4 4 4 4 3 3 4 0 2 1 4 2 2 -> 2 1 4 3 1 3 1 1 1 2 3 4 3 4 4 2 3 0 2 1 } 13.53/3.69 13.53/3.69 13.53/3.69 The system was filtered by the following matrix interpretation 13.53/3.69 of type E_J with J = {1,...,2} and dimension 2: 13.53/3.69 13.53/3.69 0 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 3 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 1 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 3 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 2 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 4 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 3 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 4 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 4 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 4 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 5 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 4 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 13.53/3.69 Remains to prove termination of the 1-rule system 13.53/3.69 { 1 4 3 0 0 5 1 4 3 -> 5 4 2 5 2 2 4 3 } 13.53/3.69 13.53/3.69 13.53/3.69 The system was filtered by the following matrix interpretation 13.53/3.69 of type E_J with J = {1,...,2} and dimension 2: 13.53/3.69 13.53/3.69 0 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 1 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 1 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 2 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 3 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 4 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 5 is interpreted by 13.53/3.69 / \ 13.53/3.69 | 1 0 | 13.53/3.69 | 0 1 | 13.53/3.69 \ / 13.53/3.69 13.53/3.69 Remains to prove termination of the 0-rule system 13.53/3.69 { } 13.53/3.69 13.53/3.69 13.53/3.69 The system is trivially terminating. 17.96/5.51 EOF