107.84/27.64 YES 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 7: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 1 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 52-rule system 108.42/27.82 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 108.42/27.82 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 108.42/27.82 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 108.42/27.82 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 108.42/27.82 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 3 3 3 3 0 -> 1 3 0 0 0 4 0 4 1 0 , 108.42/27.82 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 108.42/27.82 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 0 5 4 5 4 0 -> 0 2 1 2 5 4 5 1 5 5 , 108.42/27.82 2 0 3 5 3 0 -> 2 4 5 2 0 1 2 2 3 1 , 108.42/27.82 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 108.42/27.82 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 108.42/27.82 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 2 3 5 5 0 0 -> 1 5 3 2 2 3 5 4 3 1 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 108.42/27.82 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 108.42/27.82 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 108.42/27.82 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 108.42/27.82 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 108.42/27.82 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 6: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 1 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 1 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 51-rule system 108.42/27.82 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 108.42/27.82 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 108.42/27.82 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 108.42/27.82 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 108.42/27.82 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 108.42/27.82 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 0 5 4 5 4 0 -> 0 2 1 2 5 4 5 1 5 5 , 108.42/27.82 2 0 3 5 3 0 -> 2 4 5 2 0 1 2 2 3 1 , 108.42/27.82 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 108.42/27.82 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 108.42/27.82 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 2 3 5 5 0 0 -> 1 5 3 2 2 3 5 4 3 1 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 108.42/27.82 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 108.42/27.82 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 108.42/27.82 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 108.42/27.82 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 108.42/27.82 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 7: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 1 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 50-rule system 108.42/27.82 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 108.42/27.82 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 108.42/27.82 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 108.42/27.82 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 108.42/27.82 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 108.42/27.82 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 2 0 3 5 3 0 -> 2 4 5 2 0 1 2 2 3 1 , 108.42/27.82 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 108.42/27.82 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 108.42/27.82 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 2 3 5 5 0 0 -> 1 5 3 2 2 3 5 4 3 1 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 108.42/27.82 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 108.42/27.82 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 108.42/27.82 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 108.42/27.82 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 108.42/27.82 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 8: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 1 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 1 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 0 0 0 1 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 49-rule system 108.42/27.82 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 108.42/27.82 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 108.42/27.82 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 108.42/27.82 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 108.42/27.82 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 108.42/27.82 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 2 0 3 5 3 0 -> 2 4 5 2 0 1 2 2 3 1 , 108.42/27.82 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 108.42/27.82 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 108.42/27.82 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 108.42/27.82 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 108.42/27.82 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 108.42/27.82 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 108.42/27.82 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 108.42/27.82 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 10: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 31-rule system 108.42/27.82 { 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 108.42/27.82 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 5: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 | 108.42/27.82 | 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 | 108.42/27.82 | 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 | 108.42/27.82 | 0 1 0 0 0 | 108.42/27.82 | 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 | 108.42/27.82 | 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 29-rule system 108.42/27.82 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 8: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 1 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 28-rule system 108.42/27.82 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 8: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 27-rule system 108.42/27.82 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 9: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 1 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 1 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 1 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 26-rule system 108.42/27.82 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 7: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 | 108.42/27.82 | 0 1 1 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 25-rule system 108.42/27.82 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 7: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 1 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 1 0 0 0 | 108.42/27.82 \ / 108.42/27.82 1 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 4 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 5 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 2 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 | 108.42/27.82 | 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 | 108.42/27.82 | 0 0 0 0 0 1 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 108.42/27.82 Remains to prove termination of the 24-rule system 108.42/27.82 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.82 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.82 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.82 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.82 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.82 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.82 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.82 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.82 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.82 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.82 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.82 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.82 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.82 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.82 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.82 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.82 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.82 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.82 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.82 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 108.42/27.82 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.82 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.82 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.82 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.82 108.42/27.82 108.42/27.82 The system was filtered by the following matrix interpretation 108.42/27.82 of type E_J with J = {1,...,2} and dimension 8: 108.42/27.82 108.42/27.82 3 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 0 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 1 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 1 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 \ / 108.42/27.82 0 is interpreted by 108.42/27.82 / \ 108.42/27.82 | 1 0 1 0 0 0 0 0 | 108.42/27.82 | 0 1 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.82 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 1 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 1 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 23-rule system 108.42/27.83 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.83 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 108.42/27.83 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.83 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.83 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.83 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.83 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.83 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.83 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 5: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 1 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 22-rule system 108.42/27.83 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.83 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.83 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 108.42/27.83 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.83 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.83 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.83 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.83 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 6: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 1 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 1 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 21-rule system 108.42/27.83 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.83 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.83 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.83 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.83 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 108.42/27.83 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.83 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 7: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 1 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 20-rule system 108.42/27.83 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.83 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.83 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.83 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 108.42/27.83 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.83 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 7: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 1 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 19-rule system 108.42/27.83 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.83 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 108.42/27.83 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.83 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.83 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 5: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 18-rule system 108.42/27.83 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 108.42/27.83 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.83 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.83 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 5: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 | 108.42/27.83 | 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 15-rule system 108.42/27.83 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 6: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 1 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 14-rule system 108.42/27.83 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 7: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 1 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 1 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 12-rule system 108.42/27.83 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 108.42/27.83 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 2: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 1 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 1 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 7-rule system 108.42/27.83 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 8: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 1 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 6-rule system 108.42/27.83 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 108.42/27.83 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 108.42/27.83 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 108.42/27.83 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 108.42/27.83 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 108.42/27.83 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 2: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 1 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 | 108.42/27.83 | 0 1 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 1-rule system 108.42/27.83 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 } 108.42/27.83 108.42/27.83 108.42/27.83 The system was filtered by the following matrix interpretation 108.42/27.83 of type E_J with J = {1,...,2} and dimension 6: 108.42/27.83 108.42/27.83 3 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 1 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 0 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 1 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 1 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 4 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 1 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 5 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 2 is interpreted by 108.42/27.83 / \ 108.42/27.83 | 1 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 | 0 0 0 1 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 0 0 0 0 0 | 108.42/27.83 | 0 1 0 0 0 0 | 108.42/27.83 \ / 108.42/27.83 108.42/27.83 Remains to prove termination of the 0-rule system 108.42/27.83 { } 108.42/27.83 108.42/27.83 108.42/27.83 The system is trivially terminating. 186.68/53.63 EOF