90.55/23.30 YES 91.77/23.55 91.77/23.55 91.77/23.55 The system was filtered by the following matrix interpretation 91.77/23.55 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.55 91.77/23.55 0 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 \ / 91.77/23.55 1 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 1 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 1 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 1 | 91.77/23.55 \ / 91.77/23.55 2 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 1 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 \ / 91.77/23.55 3 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 1 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 1 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 \ / 91.77/23.55 4 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 1 0 1 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 1 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 \ / 91.77/23.55 5 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 1 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 0 | 91.77/23.55 \ / 91.77/23.55 91.77/23.55 Remains to prove termination of the 47-rule system 91.77/23.55 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.55 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.55 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.55 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.55 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.55 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.55 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.55 5 1 1 0 2 -> 5 5 3 1 1 0 0 4 2 2 , 91.77/23.55 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.55 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.55 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.55 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.55 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.55 2 3 1 2 1 2 -> 1 3 3 3 0 2 0 0 3 4 , 91.77/23.55 2 3 5 1 1 2 -> 2 3 4 3 2 2 0 4 0 3 , 91.77/23.55 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.55 2 3 5 1 2 4 -> 1 2 1 5 5 0 3 3 0 0 , 91.77/23.55 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.55 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.55 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.55 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.55 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.55 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.55 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.55 1 1 4 1 2 1 4 -> 1 0 2 3 0 5 0 4 3 0 , 91.77/23.55 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.55 1 2 1 2 2 1 5 -> 5 4 1 0 3 4 3 3 1 3 , 91.77/23.55 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.55 1 2 3 5 3 4 5 -> 1 0 5 3 5 1 5 2 0 1 , 91.77/23.55 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.55 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.55 1 4 1 1 1 2 0 -> 1 5 0 5 1 5 2 5 2 0 , 91.77/23.55 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.55 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.55 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.55 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.55 2 3 1 1 1 1 4 -> 2 0 3 3 1 4 3 5 0 5 , 91.77/23.55 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.55 2 3 2 4 0 2 4 -> 4 4 5 4 3 0 3 3 5 4 , 91.77/23.55 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.55 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.55 3 2 3 1 1 3 2 -> 0 3 1 2 0 0 2 0 0 3 , 91.77/23.55 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.55 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.55 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.55 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.55 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.55 91.77/23.55 91.77/23.55 The system was filtered by the following matrix interpretation 91.77/23.55 of type E_J with J = {1,...,2} and dimension 7: 91.77/23.55 91.77/23.55 0 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 \ / 91.77/23.55 1 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 1 0 1 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 1 | 91.77/23.55 | 0 0 0 0 0 0 1 | 91.77/23.55 \ / 91.77/23.55 2 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 1 1 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.55 | 0 0 0 0 0 1 0 | 91.77/23.55 | 0 1 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 | 91.77/23.55 \ / 91.77/23.55 3 is interpreted by 91.77/23.55 / \ 91.77/23.55 | 1 0 0 0 0 0 0 | 91.77/23.55 | 0 1 0 0 0 0 0 | 91.77/23.55 | 0 0 0 1 0 0 0 | 91.77/23.55 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 1 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 44-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 5 1 1 0 2 -> 5 5 3 1 1 0 0 4 2 2 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 2 -> 2 3 4 3 2 2 0 4 0 3 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 2 3 5 1 2 4 -> 1 2 1 5 5 0 3 3 0 0 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 2 3 5 3 4 5 -> 1 0 5 3 5 1 5 2 0 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 1 4 1 1 1 2 0 -> 1 5 0 5 1 5 2 5 2 0 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 1 1 1 1 4 -> 2 0 3 3 1 4 3 5 0 5 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 2 4 0 2 4 -> 4 4 5 4 3 0 3 3 5 4 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 1 1 3 2 -> 0 3 1 2 0 0 2 0 0 3 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 7: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 1 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 43-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 5 1 1 0 2 -> 5 5 3 1 1 0 0 4 2 2 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 2 -> 2 3 4 3 2 2 0 4 0 3 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 2 3 5 3 4 5 -> 1 0 5 3 5 1 5 2 0 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 1 4 1 1 1 2 0 -> 1 5 0 5 1 5 2 5 2 0 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 1 1 1 1 4 -> 2 0 3 3 1 4 3 5 0 5 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 2 4 0 2 4 -> 4 4 5 4 3 0 3 3 5 4 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 1 1 3 2 -> 0 3 1 2 0 0 2 0 0 3 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 17: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 42-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 2 -> 2 3 4 3 2 2 0 4 0 3 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 2 3 5 3 4 5 -> 1 0 5 3 5 1 5 2 0 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 1 4 1 1 1 2 0 -> 1 5 0 5 1 5 2 5 2 0 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 1 1 1 1 4 -> 2 0 3 3 1 4 3 5 0 5 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 2 4 0 2 4 -> 4 4 5 4 3 0 3 3 5 4 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 1 1 3 2 -> 0 3 1 2 0 0 2 0 0 3 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 41-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 2 -> 2 3 4 3 2 2 0 4 0 3 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 2 3 5 3 4 5 -> 1 0 5 3 5 1 5 2 0 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 1 4 1 1 1 2 0 -> 1 5 0 5 1 5 2 5 2 0 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 1 1 1 1 4 -> 2 0 3 3 1 4 3 5 0 5 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 1 1 3 2 -> 0 3 1 2 0 0 2 0 0 3 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 18: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 40-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 2 3 5 3 4 5 -> 1 0 5 3 5 1 5 2 0 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 1 4 1 1 1 2 0 -> 1 5 0 5 1 5 2 5 2 0 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 1 1 1 1 4 -> 2 0 3 3 1 4 3 5 0 5 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 1 1 3 2 -> 0 3 1 2 0 0 2 0 0 3 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 13: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 1 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 38-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 2 3 5 3 4 5 -> 1 0 5 3 5 1 5 2 0 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 1 4 1 1 1 2 0 -> 1 5 0 5 1 5 2 5 2 0 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 37-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 2 3 5 3 4 5 -> 1 0 5 3 5 1 5 2 0 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 36-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 1 4 1 0 1 2 -> 2 5 2 0 2 0 0 0 3 3 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 7: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 1 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 35-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 5 2 4 4 1 2 -> 5 2 3 3 0 0 3 2 2 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 12: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 34-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 2 3 3 5 2 5 2 -> 1 0 0 4 2 2 0 5 1 2 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 33-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 1 2 5 5 2 -> 1 0 5 0 3 5 4 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 4 1 1 4 2 3 -> 0 1 0 0 0 1 2 0 4 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 1 4 2 1 4 1 -> 1 3 0 0 5 4 1 5 3 1 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 2 5 2 5 1 -> 2 4 5 3 3 5 3 1 0 1 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 6: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 1 0 | 91.77/23.56 | 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 29-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 2 3 2 4 2 4 -> 5 5 0 0 3 3 5 0 4 4 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 28-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 4 5 1 1 2 -> 1 0 1 5 5 0 5 2 0 3 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 12: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 27-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 2 5 2 1 2 -> 4 3 1 0 0 4 2 0 4 3 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 7: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 26-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 2 3 5 1 1 3 -> 1 0 3 4 0 4 0 1 0 1 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 0 1 2 5 1 2 -> 1 5 2 3 5 1 1 0 0 3 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 7: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 1 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 24-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 0 1 4 1 1 3 -> 2 0 2 0 0 4 5 0 4 5 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 23-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 3 0 5 2 3 5 -> 1 0 0 4 2 3 5 3 2 5 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 1 1 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 5 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 91.77/23.56 Remains to prove termination of the 22-rule system 91.77/23.56 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.56 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.56 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.56 3 5 2 5 2 -> 3 5 5 3 0 0 3 0 4 3 , 91.77/23.56 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.56 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.56 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.56 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.56 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.56 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.56 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.56 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.56 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.56 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.56 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.56 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.56 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.56 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.56 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.56 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.56 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.56 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.56 91.77/23.56 91.77/23.56 The system was filtered by the following matrix interpretation 91.77/23.56 of type E_J with J = {1,...,2} and dimension 11: 91.77/23.56 91.77/23.56 0 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 1 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 2 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 1 1 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 3 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 1 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 \ / 91.77/23.56 4 is interpreted by 91.77/23.56 / \ 91.77/23.56 | 1 0 0 0 0 0 1 0 0 0 0 | 91.77/23.56 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.56 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 1 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 21-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.57 3 3 1 2 5 3 -> 0 4 2 2 2 2 3 3 1 3 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.57 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.57 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.57 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.57 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 7: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 20-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.57 3 4 0 2 2 4 0 -> 0 4 5 3 0 3 0 5 3 0 , 91.77/23.57 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.57 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.57 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 19: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 19-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 2 3 2 0 5 1 0 -> 4 3 5 0 3 3 0 3 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.57 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.57 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.57 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 14: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 18-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 2 1 1 4 1 3 -> 4 1 1 5 5 1 5 2 1 5 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.57 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.57 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.57 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 7: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 17-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.57 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.57 5 2 0 2 1 1 4 -> 5 1 3 3 3 5 3 0 3 0 , 91.77/23.57 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 18: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 16-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.57 5 2 0 1 4 1 3 -> 5 4 0 0 4 1 4 5 5 4 , 91.77/23.57 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 12: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 15-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 2 5 5 1 3 -> 2 5 0 1 1 5 5 1 5 5 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.57 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 6: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 14-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 , 91.77/23.57 5 2 0 5 4 1 5 -> 1 1 5 2 1 5 5 1 1 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 13-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 2 1 5 0 2 4 0 -> 2 5 3 2 5 0 3 1 5 0 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 12-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 1 3 4 1 1 2 5 -> 1 5 3 4 2 2 2 0 3 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 11-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 3 1 4 2 1 1 2 -> 0 1 2 2 3 2 4 0 0 4 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 10-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 0 5 1 4 4 -> 0 5 1 5 0 0 1 0 3 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 11: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 1 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 9-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 4 2 4 -> 0 5 3 4 1 0 0 3 2 0 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 0 1 1 -> 0 5 5 5 1 0 3 0 1 1 , 91.77/23.57 4 5 1 2 0 5 -> 1 3 4 0 3 5 5 3 0 3 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 , 91.77/23.57 3 2 3 5 1 3 1 -> 3 1 4 3 0 5 5 5 5 1 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 2: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 1 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 5-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 , 91.77/23.57 2 0 1 1 1 2 5 -> 5 2 0 3 4 0 0 4 2 5 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 4-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 , 91.77/23.57 0 5 2 5 2 3 1 -> 0 0 1 0 2 5 5 1 2 1 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 8: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 3-rule system 91.77/23.57 { 0 1 2 -> 0 0 3 4 0 3 0 3 0 2 , 91.77/23.57 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 , 91.77/23.57 0 1 2 5 1 3 -> 0 4 0 3 0 2 1 5 5 0 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 2: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 1 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 | 91.77/23.57 | 0 1 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 1-rule system 91.77/23.57 { 4 3 1 2 5 -> 4 3 0 2 5 0 3 4 3 1 } 91.77/23.57 91.77/23.57 91.77/23.57 The system was filtered by the following matrix interpretation 91.77/23.57 of type E_J with J = {1,...,2} and dimension 6: 91.77/23.57 91.77/23.57 0 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 1 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 1 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 2 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 1 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 3 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 1 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 4 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 1 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 5 is interpreted by 91.77/23.57 / \ 91.77/23.57 | 1 0 0 0 1 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 0 0 0 0 0 | 91.77/23.57 | 0 1 0 0 0 0 | 91.77/23.57 \ / 91.77/23.57 91.77/23.57 Remains to prove termination of the 0-rule system 91.77/23.57 { } 91.77/23.57 91.77/23.57 91.77/23.57 The system is trivially terminating. 94.31/24.48 EOF