6.33/1.81 YES 6.43/1.93 6.43/1.93 6.43/1.93 The system was filtered by the following matrix interpretation 6.43/1.93 of type E_J with J = {1,...,2} and dimension 12: 6.43/1.93 6.43/1.93 1 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 1 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 1 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 1 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 1 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 2 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 0 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 1 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 1 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 4 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 1 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 1 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 3 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 1 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 5 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 1 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 6.43/1.93 Remains to prove termination of the 27-rule system 6.43/1.93 { 1 2 0 -> 4 0 3 3 5 4 5 1 4 3 , 6.43/1.93 2 0 3 0 2 -> 3 3 1 2 2 4 5 0 4 3 , 6.43/1.93 2 1 0 1 0 -> 3 5 4 5 4 3 3 1 1 2 , 6.43/1.93 3 4 2 0 2 -> 3 5 3 0 3 3 2 5 3 2 , 6.43/1.93 0 3 5 2 4 0 -> 4 4 0 2 3 2 2 5 3 2 , 6.43/1.93 1 1 2 0 4 5 -> 3 0 5 4 2 1 0 2 3 3 , 6.43/1.93 2 1 1 0 1 2 -> 3 4 4 1 3 2 2 2 5 5 , 6.43/1.93 2 2 0 1 1 1 -> 2 3 4 1 5 2 2 2 5 4 , 6.43/1.93 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.43/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.43/1.93 3 0 1 0 0 2 -> 2 4 2 5 3 5 0 3 3 2 , 6.43/1.93 3 0 1 1 1 1 -> 3 2 2 4 4 5 2 4 5 1 , 6.43/1.93 4 1 1 2 0 2 -> 4 0 3 4 4 4 2 3 2 3 , 6.43/1.93 0 2 1 1 1 1 0 -> 0 1 5 5 3 5 2 5 5 5 , 6.43/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.43/1.93 0 4 2 0 0 4 1 -> 4 2 5 4 1 0 4 3 3 1 , 6.43/1.93 0 4 3 0 5 4 1 -> 0 3 1 5 3 1 2 5 4 1 , 6.43/1.93 1 0 5 2 2 0 0 -> 1 5 4 4 3 4 5 4 5 2 , 6.43/1.93 1 1 3 4 5 0 0 -> 1 3 1 5 3 4 1 4 5 3 , 6.43/1.93 1 4 3 1 5 0 5 -> 5 0 3 3 2 4 1 3 3 2 , 6.43/1.93 1 5 0 2 0 5 5 -> 2 5 2 5 4 2 0 0 5 5 , 6.43/1.93 2 0 1 5 2 0 5 -> 4 3 3 5 5 3 1 3 5 5 , 6.43/1.93 2 4 0 5 4 1 4 -> 3 4 5 5 1 5 3 5 1 4 , 6.43/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.43/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 , 6.43/1.93 4 1 0 4 2 0 3 -> 0 4 3 0 0 1 5 4 3 2 , 6.43/1.93 4 1 1 1 0 1 2 -> 3 3 2 3 3 0 1 5 5 2 } 6.43/1.93 6.43/1.93 6.43/1.93 The system was filtered by the following matrix interpretation 6.43/1.93 of type E_J with J = {1,...,2} and dimension 14: 6.43/1.93 6.43/1.93 1 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 2 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 0 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 4 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 3 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 5 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 6.43/1.93 Remains to prove termination of the 26-rule system 6.43/1.93 { 1 2 0 -> 4 0 3 3 5 4 5 1 4 3 , 6.43/1.93 2 0 3 0 2 -> 3 3 1 2 2 4 5 0 4 3 , 6.43/1.93 2 1 0 1 0 -> 3 5 4 5 4 3 3 1 1 2 , 6.43/1.93 3 4 2 0 2 -> 3 5 3 0 3 3 2 5 3 2 , 6.43/1.93 0 3 5 2 4 0 -> 4 4 0 2 3 2 2 5 3 2 , 6.43/1.93 1 1 2 0 4 5 -> 3 0 5 4 2 1 0 2 3 3 , 6.43/1.93 2 1 1 0 1 2 -> 3 4 4 1 3 2 2 2 5 5 , 6.43/1.93 2 2 0 1 1 1 -> 2 3 4 1 5 2 2 2 5 4 , 6.43/1.93 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.43/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.43/1.93 3 0 1 0 0 2 -> 2 4 2 5 3 5 0 3 3 2 , 6.43/1.93 3 0 1 1 1 1 -> 3 2 2 4 4 5 2 4 5 1 , 6.43/1.93 4 1 1 2 0 2 -> 4 0 3 4 4 4 2 3 2 3 , 6.43/1.93 0 2 1 1 1 1 0 -> 0 1 5 5 3 5 2 5 5 5 , 6.43/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.43/1.93 0 4 2 0 0 4 1 -> 4 2 5 4 1 0 4 3 3 1 , 6.43/1.93 0 4 3 0 5 4 1 -> 0 3 1 5 3 1 2 5 4 1 , 6.43/1.93 1 0 5 2 2 0 0 -> 1 5 4 4 3 4 5 4 5 2 , 6.43/1.93 1 1 3 4 5 0 0 -> 1 3 1 5 3 4 1 4 5 3 , 6.43/1.93 1 4 3 1 5 0 5 -> 5 0 3 3 2 4 1 3 3 2 , 6.43/1.93 2 0 1 5 2 0 5 -> 4 3 3 5 5 3 1 3 5 5 , 6.43/1.93 2 4 0 5 4 1 4 -> 3 4 5 5 1 5 3 5 1 4 , 6.43/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.43/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 , 6.43/1.93 4 1 0 4 2 0 3 -> 0 4 3 0 0 1 5 4 3 2 , 6.43/1.93 4 1 1 1 0 1 2 -> 3 3 2 3 3 0 1 5 5 2 } 6.43/1.93 6.43/1.93 6.43/1.93 The system was filtered by the following matrix interpretation 6.43/1.93 of type E_J with J = {1,...,2} and dimension 10: 6.43/1.93 6.43/1.93 1 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 1 0 0 0 0 0 1 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 1 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 1 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 2 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 1 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 0 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 1 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 1 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 1 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 4 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 1 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 3 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 1 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 5 is interpreted by 6.43/1.93 / \ 6.43/1.93 | 1 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 1 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 1 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 | 0 0 0 0 0 0 0 0 0 0 | 6.43/1.93 \ / 6.43/1.93 6.43/1.93 Remains to prove termination of the 25-rule system 6.43/1.93 { 1 2 0 -> 4 0 3 3 5 4 5 1 4 3 , 6.43/1.93 2 0 3 0 2 -> 3 3 1 2 2 4 5 0 4 3 , 6.43/1.93 2 1 0 1 0 -> 3 5 4 5 4 3 3 1 1 2 , 6.43/1.93 3 4 2 0 2 -> 3 5 3 0 3 3 2 5 3 2 , 6.43/1.93 0 3 5 2 4 0 -> 4 4 0 2 3 2 2 5 3 2 , 6.83/1.93 1 1 2 0 4 5 -> 3 0 5 4 2 1 0 2 3 3 , 6.83/1.93 2 1 1 0 1 2 -> 3 4 4 1 3 2 2 2 5 5 , 6.83/1.93 2 2 0 1 1 1 -> 2 3 4 1 5 2 2 2 5 4 , 6.83/1.93 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 3 0 1 0 0 2 -> 2 4 2 5 3 5 0 3 3 2 , 6.83/1.93 3 0 1 1 1 1 -> 3 2 2 4 4 5 2 4 5 1 , 6.83/1.93 4 1 1 2 0 2 -> 4 0 3 4 4 4 2 3 2 3 , 6.83/1.93 0 2 1 1 1 1 0 -> 0 1 5 5 3 5 2 5 5 5 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.83/1.93 0 4 2 0 0 4 1 -> 4 2 5 4 1 0 4 3 3 1 , 6.83/1.93 0 4 3 0 5 4 1 -> 0 3 1 5 3 1 2 5 4 1 , 6.83/1.93 1 0 5 2 2 0 0 -> 1 5 4 4 3 4 5 4 5 2 , 6.83/1.93 1 1 3 4 5 0 0 -> 1 3 1 5 3 4 1 4 5 3 , 6.83/1.93 2 0 1 5 2 0 5 -> 4 3 3 5 5 3 1 3 5 5 , 6.83/1.93 2 4 0 5 4 1 4 -> 3 4 5 5 1 5 3 5 1 4 , 6.83/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.83/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 , 6.83/1.93 4 1 0 4 2 0 3 -> 0 4 3 0 0 1 5 4 3 2 , 6.83/1.93 4 1 1 1 0 1 2 -> 3 3 2 3 3 0 1 5 5 2 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 7: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 | 6.83/1.93 | 0 0 0 1 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 1 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 1 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 1 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 1 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 24-rule system 6.83/1.93 { 1 2 0 -> 4 0 3 3 5 4 5 1 4 3 , 6.83/1.93 2 0 3 0 2 -> 3 3 1 2 2 4 5 0 4 3 , 6.83/1.93 2 1 0 1 0 -> 3 5 4 5 4 3 3 1 1 2 , 6.83/1.93 3 4 2 0 2 -> 3 5 3 0 3 3 2 5 3 2 , 6.83/1.93 0 3 5 2 4 0 -> 4 4 0 2 3 2 2 5 3 2 , 6.83/1.93 2 1 1 0 1 2 -> 3 4 4 1 3 2 2 2 5 5 , 6.83/1.93 2 2 0 1 1 1 -> 2 3 4 1 5 2 2 2 5 4 , 6.83/1.93 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 3 0 1 0 0 2 -> 2 4 2 5 3 5 0 3 3 2 , 6.83/1.93 3 0 1 1 1 1 -> 3 2 2 4 4 5 2 4 5 1 , 6.83/1.93 4 1 1 2 0 2 -> 4 0 3 4 4 4 2 3 2 3 , 6.83/1.93 0 2 1 1 1 1 0 -> 0 1 5 5 3 5 2 5 5 5 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.83/1.93 0 4 2 0 0 4 1 -> 4 2 5 4 1 0 4 3 3 1 , 6.83/1.93 0 4 3 0 5 4 1 -> 0 3 1 5 3 1 2 5 4 1 , 6.83/1.93 1 0 5 2 2 0 0 -> 1 5 4 4 3 4 5 4 5 2 , 6.83/1.93 1 1 3 4 5 0 0 -> 1 3 1 5 3 4 1 4 5 3 , 6.83/1.93 2 0 1 5 2 0 5 -> 4 3 3 5 5 3 1 3 5 5 , 6.83/1.93 2 4 0 5 4 1 4 -> 3 4 5 5 1 5 3 5 1 4 , 6.83/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.83/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 , 6.83/1.93 4 1 0 4 2 0 3 -> 0 4 3 0 0 1 5 4 3 2 , 6.83/1.93 4 1 1 1 0 1 2 -> 3 3 2 3 3 0 1 5 5 2 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 12: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 1 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 1 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 1 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 1 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 1 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 1 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 1 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 23-rule system 6.83/1.93 { 1 2 0 -> 4 0 3 3 5 4 5 1 4 3 , 6.83/1.93 2 0 3 0 2 -> 3 3 1 2 2 4 5 0 4 3 , 6.83/1.93 2 1 0 1 0 -> 3 5 4 5 4 3 3 1 1 2 , 6.83/1.93 3 4 2 0 2 -> 3 5 3 0 3 3 2 5 3 2 , 6.83/1.93 0 3 5 2 4 0 -> 4 4 0 2 3 2 2 5 3 2 , 6.83/1.93 2 1 1 0 1 2 -> 3 4 4 1 3 2 2 2 5 5 , 6.83/1.93 2 2 0 1 1 1 -> 2 3 4 1 5 2 2 2 5 4 , 6.83/1.93 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 3 0 1 0 0 2 -> 2 4 2 5 3 5 0 3 3 2 , 6.83/1.93 3 0 1 1 1 1 -> 3 2 2 4 4 5 2 4 5 1 , 6.83/1.93 0 2 1 1 1 1 0 -> 0 1 5 5 3 5 2 5 5 5 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.83/1.93 0 4 2 0 0 4 1 -> 4 2 5 4 1 0 4 3 3 1 , 6.83/1.93 0 4 3 0 5 4 1 -> 0 3 1 5 3 1 2 5 4 1 , 6.83/1.93 1 0 5 2 2 0 0 -> 1 5 4 4 3 4 5 4 5 2 , 6.83/1.93 1 1 3 4 5 0 0 -> 1 3 1 5 3 4 1 4 5 3 , 6.83/1.93 2 0 1 5 2 0 5 -> 4 3 3 5 5 3 1 3 5 5 , 6.83/1.93 2 4 0 5 4 1 4 -> 3 4 5 5 1 5 3 5 1 4 , 6.83/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.83/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 , 6.83/1.93 4 1 0 4 2 0 3 -> 0 4 3 0 0 1 5 4 3 2 , 6.83/1.93 4 1 1 1 0 1 2 -> 3 3 2 3 3 0 1 5 5 2 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 13: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 22-rule system 6.83/1.93 { 1 2 0 -> 4 0 3 3 5 4 5 1 4 3 , 6.83/1.93 2 0 3 0 2 -> 3 3 1 2 2 4 5 0 4 3 , 6.83/1.93 2 1 0 1 0 -> 3 5 4 5 4 3 3 1 1 2 , 6.83/1.93 3 4 2 0 2 -> 3 5 3 0 3 3 2 5 3 2 , 6.83/1.93 0 3 5 2 4 0 -> 4 4 0 2 3 2 2 5 3 2 , 6.83/1.93 2 1 1 0 1 2 -> 3 4 4 1 3 2 2 2 5 5 , 6.83/1.93 2 2 0 1 1 1 -> 2 3 4 1 5 2 2 2 5 4 , 6.83/1.93 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 3 0 1 0 0 2 -> 2 4 2 5 3 5 0 3 3 2 , 6.83/1.93 3 0 1 1 1 1 -> 3 2 2 4 4 5 2 4 5 1 , 6.83/1.93 0 2 1 1 1 1 0 -> 0 1 5 5 3 5 2 5 5 5 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.83/1.93 0 4 2 0 0 4 1 -> 4 2 5 4 1 0 4 3 3 1 , 6.83/1.93 0 4 3 0 5 4 1 -> 0 3 1 5 3 1 2 5 4 1 , 6.83/1.93 1 0 5 2 2 0 0 -> 1 5 4 4 3 4 5 4 5 2 , 6.83/1.93 1 1 3 4 5 0 0 -> 1 3 1 5 3 4 1 4 5 3 , 6.83/1.93 2 0 1 5 2 0 5 -> 4 3 3 5 5 3 1 3 5 5 , 6.83/1.93 2 4 0 5 4 1 4 -> 3 4 5 5 1 5 3 5 1 4 , 6.83/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.83/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 , 6.83/1.93 4 1 0 4 2 0 3 -> 0 4 3 0 0 1 5 4 3 2 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 4: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 | 6.83/1.93 | 0 1 0 0 | 6.83/1.93 | 0 0 0 1 | 6.83/1.93 | 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 | 6.83/1.93 | 0 1 0 0 | 6.83/1.93 | 0 0 0 1 | 6.83/1.93 | 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 | 6.83/1.93 | 0 1 0 0 | 6.83/1.93 | 0 0 0 1 | 6.83/1.93 | 0 1 0 0 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 | 6.83/1.93 | 0 1 0 0 | 6.83/1.93 | 0 0 0 0 | 6.83/1.93 | 0 0 1 0 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 | 6.83/1.93 | 0 1 0 0 | 6.83/1.93 | 0 0 0 0 | 6.83/1.93 | 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 | 6.83/1.93 | 0 1 0 0 | 6.83/1.93 | 0 0 0 0 | 6.83/1.93 | 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 17-rule system 6.83/1.93 { 2 0 3 0 2 -> 3 3 1 2 2 4 5 0 4 3 , 6.83/1.93 2 1 0 1 0 -> 3 5 4 5 4 3 3 1 1 2 , 6.83/1.93 3 4 2 0 2 -> 3 5 3 0 3 3 2 5 3 2 , 6.83/1.93 0 3 5 2 4 0 -> 4 4 0 2 3 2 2 5 3 2 , 6.83/1.93 2 2 0 1 1 1 -> 2 3 4 1 5 2 2 2 5 4 , 6.83/1.93 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 3 0 1 1 1 1 -> 3 2 2 4 4 5 2 4 5 1 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.83/1.93 0 4 2 0 0 4 1 -> 4 2 5 4 1 0 4 3 3 1 , 6.83/1.93 0 4 3 0 5 4 1 -> 0 3 1 5 3 1 2 5 4 1 , 6.83/1.93 1 0 5 2 2 0 0 -> 1 5 4 4 3 4 5 4 5 2 , 6.83/1.93 1 1 3 4 5 0 0 -> 1 3 1 5 3 4 1 4 5 3 , 6.83/1.93 2 0 1 5 2 0 5 -> 4 3 3 5 5 3 1 3 5 5 , 6.83/1.93 2 4 0 5 4 1 4 -> 3 4 5 5 1 5 3 5 1 4 , 6.83/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.83/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 2: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 1 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 6-rule system 6.83/1.93 { 3 4 2 0 2 -> 3 5 3 0 3 3 2 5 3 2 , 6.83/1.93 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.83/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.83/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 6: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 1 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 1 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 1 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 5-rule system 6.83/1.93 { 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.83/1.93 3 4 1 4 0 4 5 -> 3 2 2 1 3 4 3 3 0 3 , 6.83/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 8: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 1 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 1 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 1 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 1 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 4-rule system 6.83/1.93 { 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 , 6.83/1.93 4 1 0 4 2 0 0 -> 4 2 2 3 1 0 0 3 4 0 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 8: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 1 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 1 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 1 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 1 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 1 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 1 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 0 0 0 0 0 0 | 6.83/1.93 | 0 1 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 | 0 0 0 0 0 0 0 0 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 3-rule system 6.83/1.93 { 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 , 6.83/1.93 2 4 2 1 1 1 -> 1 3 5 4 3 4 3 1 4 4 , 6.83/1.93 0 2 4 1 1 1 5 -> 4 4 3 4 3 2 3 0 2 2 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 2: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 1 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 1 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 1-rule system 6.83/1.93 { 2 4 1 0 4 2 -> 1 5 1 3 2 3 4 4 4 0 } 6.83/1.93 6.83/1.93 6.83/1.93 The system was filtered by the following matrix interpretation 6.83/1.93 of type E_J with J = {1,...,2} and dimension 2: 6.83/1.93 6.83/1.93 1 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 2 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 1 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 0 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 4 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 3 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 5 is interpreted by 6.83/1.93 / \ 6.83/1.93 | 1 0 | 6.83/1.93 | 0 1 | 6.83/1.93 \ / 6.83/1.93 6.83/1.93 Remains to prove termination of the 0-rule system 6.83/1.93 { } 6.83/1.93 6.83/1.93 6.83/1.93 The system is trivially terminating. 7.85/2.35 EOF