17.62/4.73 YES 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 8: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 44-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 0 1 -> 5 4 2 1 4 1 3 4 2 2 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 0 1 -> 0 2 2 0 5 4 4 3 4 1 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 0 1 5 -> 3 2 4 3 2 2 1 2 0 5 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 3 3 5 0 1 -> 3 2 4 1 1 0 5 1 2 4 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 5 4 5 0 2 -> 5 4 0 3 4 5 2 1 3 1 , 17.85/4.81 0 0 0 2 2 5 -> 1 3 2 1 4 2 0 1 4 0 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 , 17.85/4.81 0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 , 17.85/4.81 1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 , 17.85/4.81 2 0 0 1 3 5 -> 4 2 4 0 2 4 4 1 3 5 , 17.85/4.81 2 5 0 0 3 5 -> 4 1 3 3 3 5 4 0 5 5 , 17.85/4.81 2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 , 17.85/4.81 2 5 4 0 0 1 -> 4 4 2 4 1 0 1 1 0 1 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 , 17.85/4.81 0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 , 17.85/4.81 0 1 0 0 0 4 2 -> 3 2 5 2 0 4 2 3 4 1 , 17.85/4.81 0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 0 2 3 1 5 0 1 -> 4 5 5 3 4 1 0 4 2 2 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 , 17.85/4.81 3 3 5 0 1 5 2 -> 3 1 5 1 1 2 4 3 1 3 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 , 17.85/4.81 5 2 3 5 2 0 2 -> 5 2 2 4 4 1 2 5 5 2 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 6: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 43-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 0 1 -> 5 4 2 1 4 1 3 4 2 2 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 0 1 -> 0 2 2 0 5 4 4 3 4 1 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 0 1 5 -> 3 2 4 3 2 2 1 2 0 5 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 3 3 5 0 1 -> 3 2 4 1 1 0 5 1 2 4 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 0 2 2 5 -> 1 3 2 1 4 2 0 1 4 0 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 , 17.85/4.81 0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 , 17.85/4.81 1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 , 17.85/4.81 2 0 0 1 3 5 -> 4 2 4 0 2 4 4 1 3 5 , 17.85/4.81 2 5 0 0 3 5 -> 4 1 3 3 3 5 4 0 5 5 , 17.85/4.81 2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 , 17.85/4.81 2 5 4 0 0 1 -> 4 4 2 4 1 0 1 1 0 1 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 , 17.85/4.81 0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 , 17.85/4.81 0 1 0 0 0 4 2 -> 3 2 5 2 0 4 2 3 4 1 , 17.85/4.81 0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 0 2 3 1 5 0 1 -> 4 5 5 3 4 1 0 4 2 2 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 , 17.85/4.81 3 3 5 0 1 5 2 -> 3 1 5 1 1 2 4 3 1 3 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 , 17.85/4.81 5 2 3 5 2 0 2 -> 5 2 2 4 4 1 2 5 5 2 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 8: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 1 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 42-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 0 1 -> 5 4 2 1 4 1 3 4 2 2 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 0 1 -> 0 2 2 0 5 4 4 3 4 1 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 0 1 5 -> 3 2 4 3 2 2 1 2 0 5 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 3 3 5 0 1 -> 3 2 4 1 1 0 5 1 2 4 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 0 2 2 5 -> 1 3 2 1 4 2 0 1 4 0 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 0 3 0 5 0 2 -> 4 2 1 2 4 4 0 0 1 1 , 17.85/4.81 0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 , 17.85/4.81 1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 , 17.85/4.81 2 0 0 1 3 5 -> 4 2 4 0 2 4 4 1 3 5 , 17.85/4.81 2 5 0 0 3 5 -> 4 1 3 3 3 5 4 0 5 5 , 17.85/4.81 2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 , 17.85/4.81 2 5 4 0 0 1 -> 4 4 2 4 1 0 1 1 0 1 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 , 17.85/4.81 0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 , 17.85/4.81 0 1 0 0 0 4 2 -> 3 2 5 2 0 4 2 3 4 1 , 17.85/4.81 0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 0 2 3 1 5 0 1 -> 4 5 5 3 4 1 0 4 2 2 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 , 17.85/4.81 3 3 5 0 1 5 2 -> 3 1 5 1 1 2 4 3 1 3 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 7: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 41-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 0 1 -> 5 4 2 1 4 1 3 4 2 2 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 0 1 -> 0 2 2 0 5 4 4 3 4 1 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 0 1 5 -> 3 2 4 3 2 2 1 2 0 5 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 3 3 5 0 1 -> 3 2 4 1 1 0 5 1 2 4 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 0 2 2 5 -> 1 3 2 1 4 2 0 1 4 0 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 , 17.85/4.81 1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 , 17.85/4.81 2 0 0 1 3 5 -> 4 2 4 0 2 4 4 1 3 5 , 17.85/4.81 2 5 0 0 3 5 -> 4 1 3 3 3 5 4 0 5 5 , 17.85/4.81 2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 , 17.85/4.81 2 5 4 0 0 1 -> 4 4 2 4 1 0 1 1 0 1 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 , 17.85/4.81 0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 , 17.85/4.81 0 1 0 0 0 4 2 -> 3 2 5 2 0 4 2 3 4 1 , 17.85/4.81 0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 0 2 3 1 5 0 1 -> 4 5 5 3 4 1 0 4 2 2 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 , 17.85/4.81 3 3 5 0 1 5 2 -> 3 1 5 1 1 2 4 3 1 3 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 4: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 | 17.85/4.81 | 0 1 0 0 | 17.85/4.81 | 0 0 0 1 | 17.85/4.81 | 0 1 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 | 17.85/4.81 | 0 1 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 | 0 1 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 | 17.85/4.81 | 0 1 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 | 17.85/4.81 | 0 1 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 | 17.85/4.81 | 0 1 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 | 17.85/4.81 | 0 1 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 | 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 30-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 0 4 5 4 -> 1 1 5 4 1 2 4 1 4 3 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 1 0 4 0 1 -> 0 3 0 3 3 3 0 1 1 4 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 0 4 0 0 4 2 -> 0 2 2 3 5 4 4 3 1 4 , 17.85/4.81 1 1 0 4 0 4 -> 1 2 1 3 4 4 5 4 4 2 , 17.85/4.81 2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 , 17.85/4.81 0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 , 17.85/4.81 0 1 0 4 0 0 2 -> 5 5 3 4 2 0 5 2 2 3 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 3 3 0 4 0 0 4 -> 3 3 3 1 1 5 4 4 5 4 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 5: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 | 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 | 17.85/4.81 | 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 24-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 , 17.85/4.81 0 0 4 3 0 1 5 -> 2 5 4 5 1 2 4 1 0 5 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 8: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 1 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 23-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 0 2 0 0 4 2 -> 1 3 4 1 0 0 5 5 2 4 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 11: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 22-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 2 5 0 4 3 0 -> 2 4 1 2 2 0 5 5 2 0 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 7: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 21-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 0 2 0 4 1 -> 2 3 0 3 2 4 2 0 4 1 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 6: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 20-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 0 2 2 1 -> 3 0 5 2 1 1 2 2 3 1 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 3 0 2 2 1 -> 3 2 0 5 4 1 3 1 4 3 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 8: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 18-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 0 2 5 2 5 2 -> 3 2 1 1 1 1 5 1 4 3 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 10: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 0 0 1 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 17-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.81 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.81 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.81 0 0 2 2 5 4 -> 1 4 5 5 5 2 4 4 4 3 , 17.85/4.81 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.81 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.81 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.81 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.81 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.81 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.81 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.81 17.85/4.81 17.85/4.81 The system was filtered by the following matrix interpretation 17.85/4.81 of type E_J with J = {1,...,2} and dimension 7: 17.85/4.81 17.85/4.81 0 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 1 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 1 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 2 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 1 0 0 | 17.85/4.81 | 0 0 0 0 0 1 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 | 17.85/4.81 \ / 17.85/4.81 3 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 4 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 5 is interpreted by 17.85/4.81 / \ 17.85/4.81 | 1 0 1 0 0 0 0 | 17.85/4.81 | 0 1 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 | 0 0 0 0 0 0 1 | 17.85/4.81 | 0 0 0 0 0 0 0 | 17.85/4.81 \ / 17.85/4.81 17.85/4.81 Remains to prove termination of the 16-rule system 17.85/4.81 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.81 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.81 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.81 0 2 0 -> 3 0 0 3 2 2 2 4 1 3 , 17.85/4.81 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.81 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.81 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.82 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.82 0 0 2 0 2 4 -> 5 2 3 4 4 5 2 1 4 1 , 17.85/4.82 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.82 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.82 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.82 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.82 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.82 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.82 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.82 17.85/4.82 17.85/4.82 The system was filtered by the following matrix interpretation 17.85/4.82 of type E_J with J = {1,...,2} and dimension 8: 17.85/4.82 17.85/4.82 0 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 1 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 1 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 1 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 1 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 2 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 1 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 3 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 4 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 1 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 5 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 1 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 1 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 17.85/4.82 Remains to prove termination of the 14-rule system 17.85/4.82 { 0 1 -> 2 0 3 4 3 1 1 2 1 3 , 17.85/4.82 0 1 -> 4 4 2 4 2 3 3 1 3 3 , 17.85/4.82 0 1 -> 4 4 4 2 1 0 3 4 1 4 , 17.85/4.82 1 5 1 -> 1 5 3 2 4 3 0 3 2 4 , 17.85/4.82 0 1 2 5 -> 1 4 3 0 3 4 4 2 3 5 , 17.85/4.82 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.82 5 3 3 5 1 -> 5 3 2 5 4 4 1 1 4 4 , 17.85/4.82 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.82 3 1 5 1 1 5 -> 3 3 0 3 3 0 3 2 2 0 , 17.85/4.82 3 5 1 0 5 1 -> 5 3 0 1 3 1 0 5 3 4 , 17.85/4.82 0 2 3 1 0 2 4 -> 3 3 1 0 4 2 1 2 4 3 , 17.85/4.82 2 4 5 1 0 0 2 -> 4 3 1 2 1 3 4 1 5 1 , 17.85/4.82 3 0 3 0 5 2 5 -> 3 3 1 2 3 3 1 2 1 5 , 17.85/4.82 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.82 17.85/4.82 17.85/4.82 The system was filtered by the following matrix interpretation 17.85/4.82 of type E_J with J = {1,...,2} and dimension 6: 17.85/4.82 17.85/4.82 0 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 1 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 1 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 1 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 2 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 3 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 4 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 0 0 1 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 5 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 1 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 1 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 17.85/4.82 Remains to prove termination of the 3-rule system 17.85/4.82 { 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.82 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 , 17.85/4.82 5 1 1 3 1 0 4 -> 5 1 2 3 1 4 4 5 3 3 } 17.85/4.82 17.85/4.82 17.85/4.82 The system was filtered by the following matrix interpretation 17.85/4.82 of type E_J with J = {1,...,2} and dimension 2: 17.85/4.82 17.85/4.82 0 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 1 | 17.85/4.82 | 0 1 | 17.85/4.82 \ / 17.85/4.82 1 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 | 17.85/4.82 | 0 1 | 17.85/4.82 \ / 17.85/4.82 2 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 | 17.85/4.82 | 0 1 | 17.85/4.82 \ / 17.85/4.82 3 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 | 17.85/4.82 | 0 1 | 17.85/4.82 \ / 17.85/4.82 4 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 | 17.85/4.82 | 0 1 | 17.85/4.82 \ / 17.85/4.82 5 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 | 17.85/4.82 | 0 1 | 17.85/4.82 \ / 17.85/4.82 17.85/4.82 Remains to prove termination of the 2-rule system 17.85/4.82 { 4 5 1 0 -> 2 0 3 2 4 2 5 2 2 2 , 17.85/4.82 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 } 17.85/4.82 17.85/4.82 17.85/4.82 The system was filtered by the following matrix interpretation 17.85/4.82 of type E_J with J = {1,...,2} and dimension 5: 17.85/4.82 17.85/4.82 0 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 | 17.85/4.82 \ / 17.85/4.82 1 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 1 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 2 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 3 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 4 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 1 0 0 | 17.85/4.82 | 0 1 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 5 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 | 17.85/4.82 | 0 0 0 1 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 17.85/4.82 Remains to prove termination of the 1-rule system 17.85/4.82 { 0 2 4 0 2 4 -> 5 0 5 4 2 2 0 1 4 2 } 17.85/4.82 17.85/4.82 17.85/4.82 The system was filtered by the following matrix interpretation 17.85/4.82 of type E_J with J = {1,...,2} and dimension 7: 17.85/4.82 17.85/4.82 0 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 1 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 1 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 1 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 2 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 | 17.85/4.82 | 0 0 0 1 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 1 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 3 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 4 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 1 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 5 is interpreted by 17.85/4.82 / \ 17.85/4.82 | 1 0 0 0 0 0 0 | 17.85/4.82 | 0 1 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 | 0 0 0 0 0 0 0 | 17.85/4.82 \ / 17.85/4.82 17.85/4.82 Remains to prove termination of the 0-rule system 17.85/4.82 { } 17.85/4.82 17.85/4.82 17.85/4.82 The system is trivially terminating. 17.85/4.85 EOF