6.16/1.78 YES 6.42/1.87 6.42/1.87 6.42/1.87 The system was filtered by the following matrix interpretation 6.42/1.87 of type E_J with J = {1,...,2} and dimension 2: 6.42/1.87 6.42/1.87 0 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 1 | 6.42/1.87 | 0 1 | 6.42/1.87 \ / 6.42/1.87 1 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 1 | 6.42/1.87 | 0 1 | 6.42/1.87 \ / 6.42/1.87 2 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 1 | 6.42/1.87 | 0 1 | 6.42/1.87 \ / 6.42/1.87 3 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 1 | 6.42/1.87 | 0 1 | 6.42/1.87 \ / 6.42/1.87 4 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 1 | 6.42/1.87 | 0 1 | 6.42/1.87 \ / 6.42/1.87 5 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 1 | 6.42/1.87 | 0 1 | 6.42/1.87 \ / 6.42/1.87 6.42/1.87 Remains to prove termination of the 16-rule system 6.42/1.87 { 0 0 1 2 2 -> 2 3 3 2 2 , 6.42/1.87 0 4 1 0 4 5 -> 5 2 5 3 4 5 , 6.42/1.87 3 4 2 2 1 5 3 3 2 -> 3 1 0 3 5 3 3 0 2 , 6.42/1.87 0 5 5 3 1 3 3 0 2 0 -> 3 3 3 2 5 0 4 0 5 0 , 6.42/1.87 0 2 1 5 3 5 3 0 5 5 5 0 -> 2 2 5 4 4 2 3 3 0 3 5 4 , 6.42/1.87 3 2 0 0 4 0 0 0 2 5 1 0 -> 1 5 2 4 0 4 2 0 0 5 0 2 , 6.42/1.87 2 1 3 3 4 3 0 2 0 4 0 3 1 -> 2 4 1 3 0 1 3 3 2 1 3 4 4 , 6.42/1.87 5 2 3 1 2 1 5 4 5 1 1 0 0 -> 5 2 0 5 4 3 4 3 3 0 5 0 0 , 6.42/1.87 2 5 0 2 2 0 3 3 1 4 2 5 0 0 0 -> 5 3 1 3 1 4 4 2 5 4 5 4 4 1 0 , 6.42/1.87 2 5 1 2 0 0 5 1 2 2 1 0 2 1 5 -> 0 3 2 5 5 2 4 4 3 5 3 4 3 4 1 , 6.42/1.87 0 3 5 5 0 3 2 4 1 1 4 5 1 5 5 3 -> 0 5 1 2 4 0 2 0 1 2 4 3 3 3 0 5 , 6.42/1.87 0 4 4 1 2 2 1 3 5 3 1 3 4 1 1 0 -> 0 1 5 2 2 5 0 5 3 3 2 3 4 1 5 2 , 6.42/1.87 0 1 1 3 5 1 1 1 3 0 0 4 1 2 2 3 1 5 0 -> 2 4 5 5 5 4 0 2 5 0 5 4 4 5 5 0 5 0 0 , 6.42/1.87 1 2 1 3 4 2 4 4 1 2 5 2 3 3 3 5 1 0 0 -> 1 5 3 2 5 0 5 2 3 0 0 3 1 5 3 4 4 3 0 , 6.42/1.87 0 3 4 2 2 0 3 4 1 1 5 0 3 5 2 1 3 3 4 1 0 -> 2 4 4 3 0 5 5 5 5 2 2 0 2 5 1 1 0 1 0 0 1 , 6.42/1.87 2 4 5 2 1 3 5 5 1 1 1 0 0 4 5 0 1 2 0 2 5 -> 2 0 0 2 2 1 2 1 2 2 2 0 5 3 3 2 5 2 2 5 2 } 6.42/1.87 6.42/1.87 6.42/1.87 The system was filtered by the following matrix interpretation 6.42/1.87 of type E_J with J = {1,...,2} and dimension 13: 6.42/1.87 6.42/1.87 0 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 1 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 2 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 3 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 4 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 5 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 6.42/1.87 Remains to prove termination of the 15-rule system 6.42/1.87 { 0 0 1 2 2 -> 2 3 3 2 2 , 6.42/1.87 0 4 1 0 4 5 -> 5 2 5 3 4 5 , 6.42/1.87 3 4 2 2 1 5 3 3 2 -> 3 1 0 3 5 3 3 0 2 , 6.42/1.87 0 5 5 3 1 3 3 0 2 0 -> 3 3 3 2 5 0 4 0 5 0 , 6.42/1.87 0 2 1 5 3 5 3 0 5 5 5 0 -> 2 2 5 4 4 2 3 3 0 3 5 4 , 6.42/1.87 2 1 3 3 4 3 0 2 0 4 0 3 1 -> 2 4 1 3 0 1 3 3 2 1 3 4 4 , 6.42/1.87 5 2 3 1 2 1 5 4 5 1 1 0 0 -> 5 2 0 5 4 3 4 3 3 0 5 0 0 , 6.42/1.87 2 5 0 2 2 0 3 3 1 4 2 5 0 0 0 -> 5 3 1 3 1 4 4 2 5 4 5 4 4 1 0 , 6.42/1.87 2 5 1 2 0 0 5 1 2 2 1 0 2 1 5 -> 0 3 2 5 5 2 4 4 3 5 3 4 3 4 1 , 6.42/1.87 0 3 5 5 0 3 2 4 1 1 4 5 1 5 5 3 -> 0 5 1 2 4 0 2 0 1 2 4 3 3 3 0 5 , 6.42/1.87 0 4 4 1 2 2 1 3 5 3 1 3 4 1 1 0 -> 0 1 5 2 2 5 0 5 3 3 2 3 4 1 5 2 , 6.42/1.87 0 1 1 3 5 1 1 1 3 0 0 4 1 2 2 3 1 5 0 -> 2 4 5 5 5 4 0 2 5 0 5 4 4 5 5 0 5 0 0 , 6.42/1.87 1 2 1 3 4 2 4 4 1 2 5 2 3 3 3 5 1 0 0 -> 1 5 3 2 5 0 5 2 3 0 0 3 1 5 3 4 4 3 0 , 6.42/1.87 0 3 4 2 2 0 3 4 1 1 5 0 3 5 2 1 3 3 4 1 0 -> 2 4 4 3 0 5 5 5 5 2 2 0 2 5 1 1 0 1 0 0 1 , 6.42/1.87 2 4 5 2 1 3 5 5 1 1 1 0 0 4 5 0 1 2 0 2 5 -> 2 0 0 2 2 1 2 1 2 2 2 0 5 3 3 2 5 2 2 5 2 } 6.42/1.87 6.42/1.87 6.42/1.87 The system was filtered by the following matrix interpretation 6.42/1.87 of type E_J with J = {1,...,2} and dimension 17: 6.42/1.87 6.42/1.87 0 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 1 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 2 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 3 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 4 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 5 is interpreted by 6.42/1.87 / \ 6.42/1.87 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.87 \ / 6.42/1.87 6.42/1.87 Remains to prove termination of the 14-rule system 6.42/1.87 { 0 0 1 2 2 -> 2 3 3 2 2 , 6.42/1.87 0 4 1 0 4 5 -> 5 2 5 3 4 5 , 6.42/1.87 3 4 2 2 1 5 3 3 2 -> 3 1 0 3 5 3 3 0 2 , 6.42/1.87 0 5 5 3 1 3 3 0 2 0 -> 3 3 3 2 5 0 4 0 5 0 , 6.42/1.87 0 2 1 5 3 5 3 0 5 5 5 0 -> 2 2 5 4 4 2 3 3 0 3 5 4 , 6.42/1.87 2 1 3 3 4 3 0 2 0 4 0 3 1 -> 2 4 1 3 0 1 3 3 2 1 3 4 4 , 6.42/1.88 5 2 3 1 2 1 5 4 5 1 1 0 0 -> 5 2 0 5 4 3 4 3 3 0 5 0 0 , 6.42/1.88 2 5 0 2 2 0 3 3 1 4 2 5 0 0 0 -> 5 3 1 3 1 4 4 2 5 4 5 4 4 1 0 , 6.42/1.88 2 5 1 2 0 0 5 1 2 2 1 0 2 1 5 -> 0 3 2 5 5 2 4 4 3 5 3 4 3 4 1 , 6.42/1.88 0 3 5 5 0 3 2 4 1 1 4 5 1 5 5 3 -> 0 5 1 2 4 0 2 0 1 2 4 3 3 3 0 5 , 6.42/1.88 0 1 1 3 5 1 1 1 3 0 0 4 1 2 2 3 1 5 0 -> 2 4 5 5 5 4 0 2 5 0 5 4 4 5 5 0 5 0 0 , 6.42/1.88 1 2 1 3 4 2 4 4 1 2 5 2 3 3 3 5 1 0 0 -> 1 5 3 2 5 0 5 2 3 0 0 3 1 5 3 4 4 3 0 , 6.42/1.88 0 3 4 2 2 0 3 4 1 1 5 0 3 5 2 1 3 3 4 1 0 -> 2 4 4 3 0 5 5 5 5 2 2 0 2 5 1 1 0 1 0 0 1 , 6.42/1.88 2 4 5 2 1 3 5 5 1 1 1 0 0 4 5 0 1 2 0 2 5 -> 2 0 0 2 2 1 2 1 2 2 2 0 5 3 3 2 5 2 2 5 2 } 6.42/1.88 6.42/1.88 6.42/1.88 The system was filtered by the following matrix interpretation 6.42/1.88 of type E_J with J = {1,...,2} and dimension 22: 6.42/1.88 6.42/1.88 0 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 \ / 6.42/1.88 1 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 \ / 6.42/1.88 2 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 \ / 6.42/1.88 3 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 \ / 6.42/1.88 4 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 \ / 6.42/1.88 5 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6.42/1.88 \ / 6.42/1.88 6.42/1.88 Remains to prove termination of the 13-rule system 6.42/1.88 { 0 0 1 2 2 -> 2 3 3 2 2 , 6.42/1.88 0 4 1 0 4 5 -> 5 2 5 3 4 5 , 6.42/1.88 3 4 2 2 1 5 3 3 2 -> 3 1 0 3 5 3 3 0 2 , 6.42/1.88 0 5 5 3 1 3 3 0 2 0 -> 3 3 3 2 5 0 4 0 5 0 , 6.42/1.88 0 2 1 5 3 5 3 0 5 5 5 0 -> 2 2 5 4 4 2 3 3 0 3 5 4 , 6.42/1.88 2 1 3 3 4 3 0 2 0 4 0 3 1 -> 2 4 1 3 0 1 3 3 2 1 3 4 4 , 6.42/1.88 5 2 3 1 2 1 5 4 5 1 1 0 0 -> 5 2 0 5 4 3 4 3 3 0 5 0 0 , 6.42/1.88 2 5 0 2 2 0 3 3 1 4 2 5 0 0 0 -> 5 3 1 3 1 4 4 2 5 4 5 4 4 1 0 , 6.42/1.88 2 5 1 2 0 0 5 1 2 2 1 0 2 1 5 -> 0 3 2 5 5 2 4 4 3 5 3 4 3 4 1 , 6.42/1.88 0 3 5 5 0 3 2 4 1 1 4 5 1 5 5 3 -> 0 5 1 2 4 0 2 0 1 2 4 3 3 3 0 5 , 6.42/1.88 0 1 1 3 5 1 1 1 3 0 0 4 1 2 2 3 1 5 0 -> 2 4 5 5 5 4 0 2 5 0 5 4 4 5 5 0 5 0 0 , 6.42/1.88 1 2 1 3 4 2 4 4 1 2 5 2 3 3 3 5 1 0 0 -> 1 5 3 2 5 0 5 2 3 0 0 3 1 5 3 4 4 3 0 , 6.42/1.88 2 4 5 2 1 3 5 5 1 1 1 0 0 4 5 0 1 2 0 2 5 -> 2 0 0 2 2 1 2 1 2 2 2 0 5 3 3 2 5 2 2 5 2 } 6.42/1.88 6.42/1.88 6.42/1.88 The system was filtered by the following matrix interpretation 6.42/1.88 of type E_J with J = {1,...,2} and dimension 2: 6.42/1.88 6.42/1.88 0 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 904 | 6.42/1.88 | 0 1 | 6.42/1.88 \ / 6.42/1.88 1 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 1000 | 6.42/1.88 | 0 1 | 6.42/1.88 \ / 6.42/1.88 2 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 904 | 6.42/1.88 | 0 1 | 6.42/1.88 \ / 6.42/1.88 3 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 519 | 6.42/1.88 | 0 1 | 6.42/1.88 \ / 6.42/1.88 4 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 520 | 6.42/1.88 | 0 1 | 6.42/1.88 \ / 6.42/1.88 5 is interpreted by 6.42/1.88 / \ 6.42/1.88 | 1 952 | 6.42/1.88 | 0 1 | 6.42/1.88 \ / 6.42/1.88 6.42/1.88 Remains to prove termination of the 0-rule system 6.42/1.88 { } 6.42/1.88 6.42/1.88 6.42/1.88 The system is trivially terminating. 6.42/1.91 EOF