42.18/11.03 YES 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 10: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 1 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 48-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 5 3 2 5 -> 1 2 1 1 1 3 3 4 1 4 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 3 0 0 5 -> 1 1 4 1 3 2 0 4 5 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 3 0 0 3 4 -> 1 2 1 0 2 4 1 5 5 3 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 0 5 4 3 4 3 0 -> 1 3 4 5 0 5 3 4 3 0 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 0 0 0 5 5 0 -> 5 0 0 1 3 4 1 0 5 0 , 43.50/11.36 5 0 3 0 5 3 0 -> 1 3 0 0 1 1 3 1 2 0 , 43.50/11.36 5 2 3 0 2 2 5 -> 5 0 4 0 5 1 0 2 4 1 , 43.50/11.36 5 4 0 0 5 4 0 -> 5 5 3 4 4 4 2 4 3 2 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 11: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 1 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 47-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 5 3 2 5 -> 1 2 1 1 1 3 3 4 1 4 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 3 0 0 3 4 -> 1 2 1 0 2 4 1 5 5 3 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 0 5 4 3 4 3 0 -> 1 3 4 5 0 5 3 4 3 0 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 0 0 0 5 5 0 -> 5 0 0 1 3 4 1 0 5 0 , 43.50/11.36 5 0 3 0 5 3 0 -> 1 3 0 0 1 1 3 1 2 0 , 43.50/11.36 5 2 3 0 2 2 5 -> 5 0 4 0 5 1 0 2 4 1 , 43.50/11.36 5 4 0 0 5 4 0 -> 5 5 3 4 4 4 2 4 3 2 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 14: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 46-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 5 3 2 5 -> 1 2 1 1 1 3 3 4 1 4 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 3 0 0 3 4 -> 1 2 1 0 2 4 1 5 5 3 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 0 5 4 3 4 3 0 -> 1 3 4 5 0 5 3 4 3 0 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 0 3 0 5 3 0 -> 1 3 0 0 1 1 3 1 2 0 , 43.50/11.36 5 2 3 0 2 2 5 -> 5 0 4 0 5 1 0 2 4 1 , 43.50/11.36 5 4 0 0 5 4 0 -> 5 5 3 4 4 4 2 4 3 2 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 8: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 1 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 45-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 5 3 2 5 -> 1 2 1 1 1 3 3 4 1 4 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 3 0 0 3 4 -> 1 2 1 0 2 4 1 5 5 3 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 0 3 0 5 3 0 -> 1 3 0 0 1 1 3 1 2 0 , 43.50/11.36 5 2 3 0 2 2 5 -> 5 0 4 0 5 1 0 2 4 1 , 43.50/11.36 5 4 0 0 5 4 0 -> 5 5 3 4 4 4 2 4 3 2 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 10: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 1 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 44-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 3 0 0 3 4 -> 1 2 1 0 2 4 1 5 5 3 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 0 3 0 5 3 0 -> 1 3 0 0 1 1 3 1 2 0 , 43.50/11.36 5 2 3 0 2 2 5 -> 5 0 4 0 5 1 0 2 4 1 , 43.50/11.36 5 4 0 0 5 4 0 -> 5 5 3 4 4 4 2 4 3 2 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 12: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 43-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 3 0 0 3 4 -> 1 2 1 0 2 4 1 5 5 3 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 2 3 0 2 2 5 -> 5 0 4 0 5 1 0 2 4 1 , 43.50/11.36 5 4 0 0 5 4 0 -> 5 5 3 4 4 4 2 4 3 2 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 8: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 42-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 3 0 0 3 4 -> 1 2 1 0 2 4 1 5 5 3 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 2 3 0 2 2 5 -> 5 0 4 0 5 1 0 2 4 1 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 19: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 41-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 2 3 0 2 2 5 -> 5 0 4 0 5 1 0 2 4 1 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 13: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 40-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 2 0 0 0 -> 3 1 1 5 4 1 4 5 2 2 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 15: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 39-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.36 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.36 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.36 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.36 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.36 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.36 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.36 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.36 5 0 5 0 5 2 -> 1 5 3 1 5 3 3 2 5 1 , 43.50/11.36 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.36 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.36 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.36 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.36 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.36 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.36 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.36 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.36 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.36 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.36 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.36 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.36 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.36 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.36 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.36 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.36 43.50/11.36 43.50/11.36 The system was filtered by the following matrix interpretation 43.50/11.36 of type E_J with J = {1,...,2} and dimension 7: 43.50/11.36 43.50/11.36 0 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 1 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 1 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 1 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 2 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 3 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 4 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 5 is interpreted by 43.50/11.36 / \ 43.50/11.36 | 1 0 1 0 0 0 0 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 1 0 0 | 43.50/11.36 | 0 0 0 0 0 0 0 | 43.50/11.36 | 0 0 0 0 0 0 1 | 43.50/11.36 | 0 1 0 0 0 0 0 | 43.50/11.36 \ / 43.50/11.36 43.50/11.36 Remains to prove termination of the 38-rule system 43.50/11.36 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.36 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.36 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.36 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.36 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.36 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.36 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.36 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.36 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.36 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.36 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.36 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.36 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.36 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.36 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.37 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.37 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 2 2 0 4 2 -> 5 5 5 5 1 1 1 2 0 2 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.37 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.37 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.37 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.37 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.37 43.50/11.37 43.50/11.37 The system was filtered by the following matrix interpretation 43.50/11.37 of type E_J with J = {1,...,2} and dimension 12: 43.50/11.37 43.50/11.37 0 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.37 | 0 0 0 1 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 1 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 2 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 1 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 1 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 3 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 4 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 5 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 43.50/11.37 Remains to prove termination of the 37-rule system 43.50/11.37 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.37 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.37 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.37 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.37 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.37 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.37 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.37 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.37 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.37 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.37 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.37 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.37 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.37 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.37 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 5 5 3 3 0 -> 5 5 5 5 5 2 2 4 3 1 , 43.50/11.37 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.37 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.37 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.37 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.37 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.37 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.37 43.50/11.37 43.50/11.37 The system was filtered by the following matrix interpretation 43.50/11.37 of type E_J with J = {1,...,2} and dimension 6: 43.50/11.37 43.50/11.37 0 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 1 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 2 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 | 43.50/11.37 | 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 3 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 | 43.50/11.37 | 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 1 0 | 43.50/11.37 | 0 0 0 0 0 1 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 4 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 | 43.50/11.37 | 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 5 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 | 43.50/11.37 | 0 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 43.50/11.37 Remains to prove termination of the 36-rule system 43.50/11.37 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.37 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.37 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.37 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.37 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.37 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.37 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.37 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.37 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.37 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.37 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.37 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.37 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.37 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.37 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 0 5 4 3 5 4 -> 0 0 2 3 1 0 1 0 2 2 , 43.50/11.37 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.37 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.37 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.37 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.37 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.37 43.50/11.37 43.50/11.37 The system was filtered by the following matrix interpretation 43.50/11.37 of type E_J with J = {1,...,2} and dimension 13: 43.50/11.37 43.50/11.37 0 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 1 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 2 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 3 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 1 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 4 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 1 0 1 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 5 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 1 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 43.50/11.37 Remains to prove termination of the 35-rule system 43.50/11.37 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.37 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.37 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.37 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.37 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.37 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.37 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.37 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.37 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.37 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.37 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.37 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.37 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.37 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.37 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.37 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.37 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.37 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 , 43.50/11.37 5 4 3 2 2 0 0 -> 5 4 3 5 2 4 1 0 4 1 } 43.50/11.37 43.50/11.37 43.50/11.37 The system was filtered by the following matrix interpretation 43.50/11.37 of type E_J with J = {1,...,2} and dimension 12: 43.50/11.37 43.50/11.37 0 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 1 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 1 1 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 1 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 2 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 3 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 1 1 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 4 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 1 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 5 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 43.50/11.37 Remains to prove termination of the 34-rule system 43.50/11.37 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.37 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.37 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.37 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.37 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.37 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.37 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.37 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.37 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.37 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.37 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.37 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.37 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.37 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.37 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.37 2 5 0 3 2 5 0 -> 3 4 5 0 5 4 0 3 1 1 , 43.50/11.37 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.37 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.37 43.50/11.37 43.50/11.37 The system was filtered by the following matrix interpretation 43.50/11.37 of type E_J with J = {1,...,2} and dimension 8: 43.50/11.37 43.50/11.37 0 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 1 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 2 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 1 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 3 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 4 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 5 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 1 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 1 | 43.50/11.37 | 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 43.50/11.37 Remains to prove termination of the 33-rule system 43.50/11.37 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.37 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.37 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.37 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.37 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.37 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.37 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.37 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.37 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.37 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.37 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.37 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.37 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.37 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.37 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 0 0 5 3 2 0 -> 0 1 2 5 2 2 1 4 1 4 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.37 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.37 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.37 43.50/11.37 43.50/11.37 The system was filtered by the following matrix interpretation 43.50/11.37 of type E_J with J = {1,...,2} and dimension 7: 43.50/11.37 43.50/11.37 0 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 1 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 2 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 1 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 1 1 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 3 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 1 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 4 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 1 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 5 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 43.50/11.37 Remains to prove termination of the 32-rule system 43.50/11.37 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.37 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.37 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.37 2 4 0 5 -> 2 1 0 1 1 4 1 5 5 5 , 43.50/11.37 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.37 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.37 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.37 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.37 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.37 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.37 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.37 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.37 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.37 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.37 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 5 5 5 0 5 4 -> 5 5 1 2 1 1 3 4 5 1 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.37 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.37 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.37 43.50/11.37 43.50/11.37 The system was filtered by the following matrix interpretation 43.50/11.37 of type E_J with J = {1,...,2} and dimension 5: 43.50/11.37 43.50/11.37 0 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 | 43.50/11.37 | 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 1 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 1 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 | 43.50/11.37 | 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 2 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 | 43.50/11.37 | 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 3 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 | 43.50/11.37 | 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 4 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 | 43.50/11.37 | 0 0 0 1 0 | 43.50/11.37 | 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 5 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 1 0 | 43.50/11.37 | 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 | 43.50/11.37 \ / 43.50/11.37 43.50/11.37 Remains to prove termination of the 30-rule system 43.50/11.37 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.37 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.37 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.37 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.37 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.37 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.37 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.37 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.37 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.37 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.37 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.37 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.37 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.37 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 3 0 0 0 0 0 -> 1 1 0 3 2 0 3 4 5 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.37 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.37 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.37 43.50/11.37 43.50/11.37 The system was filtered by the following matrix interpretation 43.50/11.37 of type E_J with J = {1,...,2} and dimension 15: 43.50/11.37 43.50/11.37 0 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 1 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 2 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 3 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 4 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 5 is interpreted by 43.50/11.37 / \ 43.50/11.37 | 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 43.50/11.37 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 43.50/11.37 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 43.50/11.37 \ / 43.50/11.37 43.50/11.37 Remains to prove termination of the 29-rule system 43.50/11.37 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.37 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.37 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.37 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.37 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.37 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.37 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.37 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.37 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.37 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.37 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.37 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.37 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.37 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.37 0 5 3 0 1 2 -> 1 0 1 0 3 1 0 2 1 2 , 43.50/11.37 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.37 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.37 5 5 3 5 4 5 -> 1 3 2 0 1 2 2 1 1 4 , 43.50/11.37 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.37 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.37 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.37 1 2 5 3 0 2 5 -> 1 2 5 4 1 1 0 1 5 5 , 43.50/11.37 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.37 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.37 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.37 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.37 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.38 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.38 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.38 43.50/11.38 43.50/11.38 The system was filtered by the following matrix interpretation 43.50/11.38 of type E_J with J = {1,...,2} and dimension 7: 43.50/11.38 43.50/11.38 0 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 1 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 2 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 1 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 3 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 1 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 4 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 1 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 5 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 1 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 | 43.50/11.38 | 0 0 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 1 0 | 43.50/11.38 | 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 43.50/11.38 Remains to prove termination of the 26-rule system 43.50/11.38 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.38 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.38 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.38 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.38 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.38 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.38 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.38 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.38 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.38 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.38 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.38 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.38 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.38 5 5 2 5 4 -> 5 2 0 2 3 1 2 4 3 3 , 43.50/11.38 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.38 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.38 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.38 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.38 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.38 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.38 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.38 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.38 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.38 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.38 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.38 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.38 43.50/11.38 43.50/11.38 The system was filtered by the following matrix interpretation 43.50/11.38 of type E_J with J = {1,...,2} and dimension 6: 43.50/11.38 43.50/11.38 0 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 1 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 2 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 1 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 1 | 43.50/11.38 \ / 43.50/11.38 3 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 4 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 5 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 1 0 0 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 1 | 43.50/11.38 | 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 43.50/11.38 Remains to prove termination of the 25-rule system 43.50/11.38 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.38 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.38 0 3 0 5 -> 1 4 1 2 3 2 0 5 1 1 , 43.50/11.38 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.38 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.38 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.38 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.38 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.38 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.38 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.38 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.38 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.38 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.38 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.38 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.38 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.38 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.38 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.38 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.38 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.38 1 5 2 4 3 0 5 -> 1 3 1 2 3 3 2 4 1 5 , 43.50/11.38 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.38 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.38 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.38 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.38 43.50/11.38 43.50/11.38 The system was filtered by the following matrix interpretation 43.50/11.38 of type E_J with J = {1,...,2} and dimension 5: 43.50/11.38 43.50/11.38 0 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 | 43.50/11.38 | 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 1 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 1 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 2 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 | 43.50/11.38 | 0 0 1 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 3 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 | 43.50/11.38 | 0 1 0 0 0 | 43.50/11.38 | 0 0 0 1 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 4 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 | 43.50/11.38 | 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 5 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 | 43.50/11.38 | 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 | 43.50/11.38 \ / 43.50/11.38 43.50/11.38 Remains to prove termination of the 23-rule system 43.50/11.38 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.38 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.38 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.38 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.38 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.38 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.38 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.38 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.38 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.38 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.38 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.38 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.38 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.38 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.38 0 0 0 4 0 3 2 -> 1 1 1 4 0 2 3 5 4 1 , 43.50/11.38 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.38 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.38 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.38 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.38 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.38 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.38 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.38 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.38 43.50/11.38 43.50/11.38 The system was filtered by the following matrix interpretation 43.50/11.38 of type E_J with J = {1,...,2} and dimension 8: 43.50/11.38 43.50/11.38 0 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 1 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 1 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 2 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 3 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 1 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 1 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 4 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 1 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 5 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 43.50/11.38 Remains to prove termination of the 22-rule system 43.50/11.38 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.38 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.38 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.38 0 3 4 3 0 -> 0 0 4 1 1 2 2 3 1 2 , 43.50/11.38 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.38 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.38 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.38 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.38 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.38 3 3 0 0 3 -> 3 3 5 5 5 5 1 1 4 0 , 43.50/11.38 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.38 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.38 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.38 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.38 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.38 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.38 1 3 0 4 0 3 0 -> 1 5 4 4 5 3 3 4 1 4 , 43.50/11.38 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.38 2 2 4 1 3 3 0 -> 2 3 2 3 2 2 1 0 4 2 , 43.50/11.38 2 4 5 4 3 0 0 -> 4 5 3 1 0 2 0 4 3 4 , 43.50/11.38 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 , 43.50/11.38 4 5 0 3 0 0 2 -> 4 1 4 1 2 1 0 4 4 1 } 43.50/11.38 43.50/11.38 43.50/11.38 The system was filtered by the following matrix interpretation 43.50/11.38 of type E_J with J = {1,...,2} and dimension 10: 43.50/11.38 43.50/11.38 0 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 1 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 1 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 2 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 1 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 3 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 1 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 1 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 1 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 4 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 1 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 1 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 5 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 1 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 43.50/11.38 Remains to prove termination of the 16-rule system 43.50/11.38 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.38 0 0 5 -> 0 2 0 1 4 1 1 1 5 1 , 43.50/11.38 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.38 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.38 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.38 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.38 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.38 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.38 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.38 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.38 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.38 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.38 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.38 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.38 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.38 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.38 43.50/11.38 43.50/11.38 The system was filtered by the following matrix interpretation 43.50/11.38 of type E_J with J = {1,...,2} and dimension 8: 43.50/11.38 43.50/11.38 0 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 1 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 1 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 1 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 1 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 2 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 1 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 3 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 1 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 4 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 1 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 5 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 1 | 43.50/11.38 | 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 43.50/11.38 Remains to prove termination of the 15-rule system 43.50/11.38 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.38 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.38 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.38 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.38 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.38 2 3 0 5 4 -> 2 3 1 1 2 4 3 0 1 0 , 43.50/11.38 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.38 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.38 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.38 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.38 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.38 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.38 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.38 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.38 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.38 43.50/11.38 43.50/11.38 The system was filtered by the following matrix interpretation 43.50/11.38 of type E_J with J = {1,...,2} and dimension 10: 43.50/11.38 43.50/11.38 0 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 1 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 1 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 1 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 1 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 1 0 0 0 1 0 0 0 | 43.50/11.38 \ / 43.50/11.38 2 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 1 0 0 0 1 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 \ / 43.50/11.38 3 is interpreted by 43.50/11.38 / \ 43.50/11.38 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 1 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.38 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 14-rule system 43.50/11.39 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.39 0 0 4 0 3 -> 1 1 1 4 0 2 4 5 0 3 , 43.50/11.39 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.39 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.39 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.39 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.39 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.39 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.39 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.39 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.39 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.39 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 6: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 1 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 13-rule system 43.50/11.39 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.39 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.39 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.39 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.39 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.39 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.39 4 2 3 5 0 0 -> 3 5 1 1 1 4 0 2 2 0 , 43.50/11.39 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.39 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.39 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.39 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 7: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 1 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 1 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 12-rule system 43.50/11.39 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.39 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.39 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.39 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.39 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.39 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.39 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.39 0 5 4 0 3 0 3 -> 3 1 4 5 1 2 3 0 4 3 , 43.50/11.39 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.39 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 8: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 1 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 1 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 1 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 11-rule system 43.50/11.39 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.39 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.39 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.39 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.39 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.39 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.39 0 3 5 4 0 2 3 -> 0 2 4 0 3 4 1 4 4 3 , 43.50/11.39 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.39 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 8: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 1 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 1 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 1 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 10-rule system 43.50/11.39 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.39 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.39 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.39 2 5 0 0 1 -> 2 1 4 5 5 0 1 3 1 2 , 43.50/11.39 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.39 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.39 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.39 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 6: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 1 0 | 43.50/11.39 | 0 0 0 0 0 1 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 1 1 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 9-rule system 43.50/11.39 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.39 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.39 2 0 5 2 0 -> 2 5 2 2 2 1 3 1 1 1 , 43.50/11.39 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.39 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.39 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.39 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 6: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 1 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 8-rule system 43.50/11.39 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.39 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.39 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.39 4 2 3 2 5 -> 2 1 0 4 2 3 4 1 1 4 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.39 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.39 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 6: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 1 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 7-rule system 43.50/11.39 { 0 0 -> 1 1 2 3 1 4 3 1 5 4 , 43.50/11.39 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 1 0 0 0 0 -> 1 3 1 3 4 1 0 5 2 1 , 43.50/11.39 4 0 0 0 2 -> 2 0 1 1 1 0 0 1 4 1 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 , 43.50/11.39 1 3 4 0 5 0 3 -> 1 3 1 5 4 1 1 5 5 4 , 43.50/11.39 4 2 4 4 0 0 3 -> 2 0 4 5 3 4 4 3 3 3 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 3: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 | 43.50/11.39 | 0 1 0 | 43.50/11.39 | 0 1 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 | 43.50/11.39 | 0 1 0 | 43.50/11.39 | 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 | 43.50/11.39 | 0 1 0 | 43.50/11.39 | 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 | 43.50/11.39 | 0 1 0 | 43.50/11.39 | 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 | 43.50/11.39 | 0 1 0 | 43.50/11.39 | 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 | 43.50/11.39 | 0 1 0 | 43.50/11.39 | 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 2-rule system 43.50/11.39 { 0 5 2 5 2 -> 0 3 5 3 2 1 1 0 5 1 , 43.50/11.39 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 2: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 | 43.50/11.39 | 0 1 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 | 43.50/11.39 | 0 1 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 1 | 43.50/11.39 | 0 1 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 | 43.50/11.39 | 0 1 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 | 43.50/11.39 | 0 1 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 | 43.50/11.39 | 0 1 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 1-rule system 43.50/11.39 { 4 0 3 5 2 5 -> 1 2 5 0 0 4 5 3 4 1 } 43.50/11.39 43.50/11.39 43.50/11.39 The system was filtered by the following matrix interpretation 43.50/11.39 of type E_J with J = {1,...,2} and dimension 7: 43.50/11.39 43.50/11.39 0 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 1 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 1 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 2 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 1 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 3 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 1 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 4 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 1 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 5 is interpreted by 43.50/11.39 / \ 43.50/11.39 | 1 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 0 0 0 0 1 0 | 43.50/11.39 | 0 0 0 0 0 0 0 | 43.50/11.39 | 0 1 0 0 0 0 0 | 43.50/11.39 \ / 43.50/11.39 43.50/11.39 Remains to prove termination of the 0-rule system 43.50/11.39 { } 43.50/11.39 43.50/11.39 43.50/11.39 The system is trivially terminating. 48.94/12.94 EOF