214.70/54.77 YES 215.89/55.01 215.89/55.01 215.89/55.01 The system was filtered by the following matrix interpretation 215.89/55.01 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.01 215.89/55.01 0 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 1 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 1 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 2 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 1 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 3 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 4 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 1 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 5 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 1 | 215.89/55.01 \ / 215.89/55.01 215.89/55.01 Remains to prove termination of the 50-rule system 215.89/55.01 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.01 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.01 0 3 0 1 4 -> 2 2 4 2 4 0 5 5 1 4 , 215.89/55.01 0 4 0 1 0 -> 2 0 5 1 1 1 1 3 3 5 , 215.89/55.01 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.01 0 0 3 4 5 2 -> 2 3 4 2 4 1 4 2 1 1 , 215.89/55.01 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.01 0 0 4 5 1 0 -> 3 1 4 4 3 1 2 4 1 1 , 215.89/55.01 0 0 4 5 1 4 -> 3 4 2 4 1 4 2 0 5 4 , 215.89/55.01 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.01 0 3 0 0 2 5 -> 2 4 0 3 2 4 2 5 2 5 , 215.89/55.01 0 4 0 0 2 2 -> 2 2 4 0 3 2 3 0 2 2 , 215.89/55.01 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.01 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.01 0 5 0 3 4 1 -> 2 4 3 2 1 4 3 1 3 1 , 215.89/55.01 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.01 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.01 2 1 0 4 5 4 -> 2 2 4 2 1 0 2 3 3 4 , 215.89/55.01 4 1 0 0 5 0 -> 4 1 5 1 4 4 1 1 5 1 , 215.89/55.01 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.01 5 0 0 0 4 5 -> 5 0 5 4 1 1 4 4 3 5 , 215.89/55.01 5 0 3 5 0 0 -> 5 2 2 3 1 5 1 1 5 5 , 215.89/55.01 5 0 4 0 5 0 -> 0 5 4 4 4 2 4 4 2 0 , 215.89/55.01 5 0 4 5 4 4 -> 2 1 5 2 4 4 4 1 4 2 , 215.89/55.01 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.01 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.01 0 0 0 3 4 0 5 -> 0 1 5 4 1 1 5 1 1 5 , 215.89/55.01 0 0 3 4 5 0 4 -> 3 2 1 1 5 4 5 3 5 3 , 215.89/55.01 0 1 0 3 0 5 3 -> 2 2 0 2 1 4 3 5 5 3 , 215.89/55.01 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.01 0 2 5 0 3 0 5 -> 2 4 5 2 4 0 0 1 1 5 , 215.89/55.01 0 3 5 2 0 0 3 -> 2 0 2 3 3 4 3 4 2 3 , 215.89/55.01 0 5 3 0 4 0 2 -> 2 2 1 0 5 1 3 2 1 4 , 215.89/55.01 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.01 1 0 0 1 0 4 0 -> 1 4 1 3 2 2 1 5 4 5 , 215.89/55.01 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.01 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.01 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.01 1 0 4 5 4 5 0 -> 2 2 1 2 0 2 5 3 1 1 , 215.89/55.01 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.01 1 5 0 0 3 0 5 -> 1 1 4 1 5 0 5 5 1 5 , 215.89/55.01 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 215.89/55.01 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.01 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.01 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.01 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.01 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.01 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.01 5 1 3 0 4 0 0 -> 5 1 4 1 4 5 2 2 3 5 , 215.89/55.01 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.01 215.89/55.01 215.89/55.01 The system was filtered by the following matrix interpretation 215.89/55.01 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.01 215.89/55.01 0 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 1 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 1 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 1 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 2 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 3 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 4 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 5 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 1 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 215.89/55.01 Remains to prove termination of the 49-rule system 215.89/55.01 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.01 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.01 0 3 0 1 4 -> 2 2 4 2 4 0 5 5 1 4 , 215.89/55.01 0 4 0 1 0 -> 2 0 5 1 1 1 1 3 3 5 , 215.89/55.01 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.01 0 0 3 4 5 2 -> 2 3 4 2 4 1 4 2 1 1 , 215.89/55.01 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.01 0 0 4 5 1 0 -> 3 1 4 4 3 1 2 4 1 1 , 215.89/55.01 0 0 4 5 1 4 -> 3 4 2 4 1 4 2 0 5 4 , 215.89/55.01 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.01 0 3 0 0 2 5 -> 2 4 0 3 2 4 2 5 2 5 , 215.89/55.01 0 4 0 0 2 2 -> 2 2 4 0 3 2 3 0 2 2 , 215.89/55.01 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.01 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.01 0 5 0 3 4 1 -> 2 4 3 2 1 4 3 1 3 1 , 215.89/55.01 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.01 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.01 2 1 0 4 5 4 -> 2 2 4 2 1 0 2 3 3 4 , 215.89/55.01 4 1 0 0 5 0 -> 4 1 5 1 4 4 1 1 5 1 , 215.89/55.01 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.01 5 0 0 0 4 5 -> 5 0 5 4 1 1 4 4 3 5 , 215.89/55.01 5 0 3 5 0 0 -> 5 2 2 3 1 5 1 1 5 5 , 215.89/55.01 5 0 4 0 5 0 -> 0 5 4 4 4 2 4 4 2 0 , 215.89/55.01 5 0 4 5 4 4 -> 2 1 5 2 4 4 4 1 4 2 , 215.89/55.01 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.01 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.01 0 0 0 3 4 0 5 -> 0 1 5 4 1 1 5 1 1 5 , 215.89/55.01 0 0 3 4 5 0 4 -> 3 2 1 1 5 4 5 3 5 3 , 215.89/55.01 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.01 0 2 5 0 3 0 5 -> 2 4 5 2 4 0 0 1 1 5 , 215.89/55.01 0 3 5 2 0 0 3 -> 2 0 2 3 3 4 3 4 2 3 , 215.89/55.01 0 5 3 0 4 0 2 -> 2 2 1 0 5 1 3 2 1 4 , 215.89/55.01 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.01 1 0 0 1 0 4 0 -> 1 4 1 3 2 2 1 5 4 5 , 215.89/55.01 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.01 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.01 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.01 1 0 4 5 4 5 0 -> 2 2 1 2 0 2 5 3 1 1 , 215.89/55.01 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.01 1 5 0 0 3 0 5 -> 1 1 4 1 5 0 5 5 1 5 , 215.89/55.01 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 215.89/55.01 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.01 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.01 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.01 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.01 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.01 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.01 5 1 3 0 4 0 0 -> 5 1 4 1 4 5 2 2 3 5 , 215.89/55.01 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.01 215.89/55.01 215.89/55.01 The system was filtered by the following matrix interpretation 215.89/55.01 of type E_J with J = {1,...,2} and dimension 7: 215.89/55.01 215.89/55.01 0 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 1 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 2 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 1 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 3 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 4 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 5 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 215.89/55.01 Remains to prove termination of the 48-rule system 215.89/55.01 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.01 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.01 0 3 0 1 4 -> 2 2 4 2 4 0 5 5 1 4 , 215.89/55.01 0 4 0 1 0 -> 2 0 5 1 1 1 1 3 3 5 , 215.89/55.01 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.01 0 0 3 4 5 2 -> 2 3 4 2 4 1 4 2 1 1 , 215.89/55.01 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.01 0 0 4 5 1 0 -> 3 1 4 4 3 1 2 4 1 1 , 215.89/55.01 0 0 4 5 1 4 -> 3 4 2 4 1 4 2 0 5 4 , 215.89/55.01 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.01 0 4 0 0 2 2 -> 2 2 4 0 3 2 3 0 2 2 , 215.89/55.01 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.01 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.01 0 5 0 3 4 1 -> 2 4 3 2 1 4 3 1 3 1 , 215.89/55.01 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.01 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.01 2 1 0 4 5 4 -> 2 2 4 2 1 0 2 3 3 4 , 215.89/55.01 4 1 0 0 5 0 -> 4 1 5 1 4 4 1 1 5 1 , 215.89/55.01 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.01 5 0 0 0 4 5 -> 5 0 5 4 1 1 4 4 3 5 , 215.89/55.01 5 0 3 5 0 0 -> 5 2 2 3 1 5 1 1 5 5 , 215.89/55.01 5 0 4 0 5 0 -> 0 5 4 4 4 2 4 4 2 0 , 215.89/55.01 5 0 4 5 4 4 -> 2 1 5 2 4 4 4 1 4 2 , 215.89/55.01 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.01 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.01 0 0 0 3 4 0 5 -> 0 1 5 4 1 1 5 1 1 5 , 215.89/55.01 0 0 3 4 5 0 4 -> 3 2 1 1 5 4 5 3 5 3 , 215.89/55.01 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.01 0 2 5 0 3 0 5 -> 2 4 5 2 4 0 0 1 1 5 , 215.89/55.01 0 3 5 2 0 0 3 -> 2 0 2 3 3 4 3 4 2 3 , 215.89/55.01 0 5 3 0 4 0 2 -> 2 2 1 0 5 1 3 2 1 4 , 215.89/55.01 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.01 1 0 0 1 0 4 0 -> 1 4 1 3 2 2 1 5 4 5 , 215.89/55.01 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.01 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.01 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.01 1 0 4 5 4 5 0 -> 2 2 1 2 0 2 5 3 1 1 , 215.89/55.01 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.01 1 5 0 0 3 0 5 -> 1 1 4 1 5 0 5 5 1 5 , 215.89/55.01 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 215.89/55.01 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.01 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.01 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.01 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.01 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.01 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.01 5 1 3 0 4 0 0 -> 5 1 4 1 4 5 2 2 3 5 , 215.89/55.01 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.01 215.89/55.01 215.89/55.01 The system was filtered by the following matrix interpretation 215.89/55.01 of type E_J with J = {1,...,2} and dimension 6: 215.89/55.01 215.89/55.01 0 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 1 1 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 1 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 1 | 215.89/55.01 | 0 0 0 1 0 0 | 215.89/55.01 \ / 215.89/55.01 2 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 3 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 4 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 1 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 5 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 215.89/55.01 Remains to prove termination of the 44-rule system 215.89/55.01 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.01 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.01 0 4 0 1 0 -> 2 0 5 1 1 1 1 3 3 5 , 215.89/55.01 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.01 0 0 3 4 5 2 -> 2 3 4 2 4 1 4 2 1 1 , 215.89/55.01 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.01 0 0 4 5 1 0 -> 3 1 4 4 3 1 2 4 1 1 , 215.89/55.01 0 0 4 5 1 4 -> 3 4 2 4 1 4 2 0 5 4 , 215.89/55.01 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.01 0 4 0 0 2 2 -> 2 2 4 0 3 2 3 0 2 2 , 215.89/55.01 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.01 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.01 0 5 0 3 4 1 -> 2 4 3 2 1 4 3 1 3 1 , 215.89/55.01 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.01 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.01 2 1 0 4 5 4 -> 2 2 4 2 1 0 2 3 3 4 , 215.89/55.01 4 1 0 0 5 0 -> 4 1 5 1 4 4 1 1 5 1 , 215.89/55.01 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.01 5 0 0 0 4 5 -> 5 0 5 4 1 1 4 4 3 5 , 215.89/55.01 5 0 4 0 5 0 -> 0 5 4 4 4 2 4 4 2 0 , 215.89/55.01 5 0 4 5 4 4 -> 2 1 5 2 4 4 4 1 4 2 , 215.89/55.01 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.01 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.01 0 0 0 3 4 0 5 -> 0 1 5 4 1 1 5 1 1 5 , 215.89/55.01 0 0 3 4 5 0 4 -> 3 2 1 1 5 4 5 3 5 3 , 215.89/55.01 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.01 0 3 5 2 0 0 3 -> 2 0 2 3 3 4 3 4 2 3 , 215.89/55.01 0 5 3 0 4 0 2 -> 2 2 1 0 5 1 3 2 1 4 , 215.89/55.01 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.01 1 0 0 1 0 4 0 -> 1 4 1 3 2 2 1 5 4 5 , 215.89/55.01 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.01 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.01 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.01 1 0 4 5 4 5 0 -> 2 2 1 2 0 2 5 3 1 1 , 215.89/55.01 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.01 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 215.89/55.01 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.01 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.01 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.01 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.01 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.01 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.01 5 1 3 0 4 0 0 -> 5 1 4 1 4 5 2 2 3 5 , 215.89/55.01 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.01 215.89/55.01 215.89/55.01 The system was filtered by the following matrix interpretation 215.89/55.01 of type E_J with J = {1,...,2} and dimension 12: 215.89/55.01 215.89/55.01 0 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 1 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 1 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 1 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 2 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 3 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 4 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 1 0 0 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 5 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 1 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 1 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 215.89/55.01 Remains to prove termination of the 43-rule system 215.89/55.01 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.01 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.01 0 4 0 1 0 -> 2 0 5 1 1 1 1 3 3 5 , 215.89/55.01 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.01 0 0 3 4 5 2 -> 2 3 4 2 4 1 4 2 1 1 , 215.89/55.01 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.01 0 0 4 5 1 0 -> 3 1 4 4 3 1 2 4 1 1 , 215.89/55.01 0 0 4 5 1 4 -> 3 4 2 4 1 4 2 0 5 4 , 215.89/55.01 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.01 0 4 0 0 2 2 -> 2 2 4 0 3 2 3 0 2 2 , 215.89/55.01 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.01 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.01 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.01 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.01 2 1 0 4 5 4 -> 2 2 4 2 1 0 2 3 3 4 , 215.89/55.01 4 1 0 0 5 0 -> 4 1 5 1 4 4 1 1 5 1 , 215.89/55.01 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.01 5 0 0 0 4 5 -> 5 0 5 4 1 1 4 4 3 5 , 215.89/55.01 5 0 4 0 5 0 -> 0 5 4 4 4 2 4 4 2 0 , 215.89/55.01 5 0 4 5 4 4 -> 2 1 5 2 4 4 4 1 4 2 , 215.89/55.01 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.01 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.01 0 0 0 3 4 0 5 -> 0 1 5 4 1 1 5 1 1 5 , 215.89/55.01 0 0 3 4 5 0 4 -> 3 2 1 1 5 4 5 3 5 3 , 215.89/55.01 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.01 0 3 5 2 0 0 3 -> 2 0 2 3 3 4 3 4 2 3 , 215.89/55.01 0 5 3 0 4 0 2 -> 2 2 1 0 5 1 3 2 1 4 , 215.89/55.01 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.01 1 0 0 1 0 4 0 -> 1 4 1 3 2 2 1 5 4 5 , 215.89/55.01 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.01 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.01 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.01 1 0 4 5 4 5 0 -> 2 2 1 2 0 2 5 3 1 1 , 215.89/55.01 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.01 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 215.89/55.01 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.01 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.01 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.01 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.01 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.01 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.01 5 1 3 0 4 0 0 -> 5 1 4 1 4 5 2 2 3 5 , 215.89/55.01 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.01 215.89/55.01 215.89/55.01 The system was filtered by the following matrix interpretation 215.89/55.01 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.01 215.89/55.01 0 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 1 0 | 215.89/55.01 | 0 0 0 0 0 0 0 1 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 1 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 2 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 3 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 4 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 5 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 1 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 1 | 215.89/55.01 \ / 215.89/55.01 215.89/55.01 Remains to prove termination of the 42-rule system 215.89/55.01 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.01 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.01 0 4 0 1 0 -> 2 0 5 1 1 1 1 3 3 5 , 215.89/55.01 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.01 0 0 3 4 5 2 -> 2 3 4 2 4 1 4 2 1 1 , 215.89/55.01 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.01 0 0 4 5 1 0 -> 3 1 4 4 3 1 2 4 1 1 , 215.89/55.01 0 0 4 5 1 4 -> 3 4 2 4 1 4 2 0 5 4 , 215.89/55.01 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.01 0 4 0 0 2 2 -> 2 2 4 0 3 2 3 0 2 2 , 215.89/55.01 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.01 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.01 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.01 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.01 2 1 0 4 5 4 -> 2 2 4 2 1 0 2 3 3 4 , 215.89/55.01 4 1 0 0 5 0 -> 4 1 5 1 4 4 1 1 5 1 , 215.89/55.01 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.01 5 0 0 0 4 5 -> 5 0 5 4 1 1 4 4 3 5 , 215.89/55.01 5 0 4 0 5 0 -> 0 5 4 4 4 2 4 4 2 0 , 215.89/55.01 5 0 4 5 4 4 -> 2 1 5 2 4 4 4 1 4 2 , 215.89/55.01 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.01 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.01 0 0 0 3 4 0 5 -> 0 1 5 4 1 1 5 1 1 5 , 215.89/55.01 0 0 3 4 5 0 4 -> 3 2 1 1 5 4 5 3 5 3 , 215.89/55.01 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.01 0 5 3 0 4 0 2 -> 2 2 1 0 5 1 3 2 1 4 , 215.89/55.01 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.01 1 0 0 1 0 4 0 -> 1 4 1 3 2 2 1 5 4 5 , 215.89/55.01 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.01 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.01 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.01 1 0 4 5 4 5 0 -> 2 2 1 2 0 2 5 3 1 1 , 215.89/55.01 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.01 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 215.89/55.01 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.01 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.01 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.01 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.01 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.01 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.01 5 1 3 0 4 0 0 -> 5 1 4 1 4 5 2 2 3 5 , 215.89/55.01 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.01 215.89/55.01 215.89/55.01 The system was filtered by the following matrix interpretation 215.89/55.01 of type E_J with J = {1,...,2} and dimension 7: 215.89/55.01 215.89/55.01 0 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 1 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 1 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 1 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 2 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 3 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 1 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 4 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 1 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 5 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 1 | 215.89/55.01 | 0 1 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 215.89/55.01 Remains to prove termination of the 41-rule system 215.89/55.01 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.01 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.01 0 4 0 1 0 -> 2 0 5 1 1 1 1 3 3 5 , 215.89/55.01 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.01 0 0 3 4 5 2 -> 2 3 4 2 4 1 4 2 1 1 , 215.89/55.01 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.01 0 0 4 5 1 0 -> 3 1 4 4 3 1 2 4 1 1 , 215.89/55.01 0 0 4 5 1 4 -> 3 4 2 4 1 4 2 0 5 4 , 215.89/55.01 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.01 0 4 0 0 2 2 -> 2 2 4 0 3 2 3 0 2 2 , 215.89/55.01 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.01 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.01 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.01 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.01 2 1 0 4 5 4 -> 2 2 4 2 1 0 2 3 3 4 , 215.89/55.01 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.01 5 0 0 0 4 5 -> 5 0 5 4 1 1 4 4 3 5 , 215.89/55.01 5 0 4 0 5 0 -> 0 5 4 4 4 2 4 4 2 0 , 215.89/55.01 5 0 4 5 4 4 -> 2 1 5 2 4 4 4 1 4 2 , 215.89/55.01 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.01 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.01 0 0 0 3 4 0 5 -> 0 1 5 4 1 1 5 1 1 5 , 215.89/55.01 0 0 3 4 5 0 4 -> 3 2 1 1 5 4 5 3 5 3 , 215.89/55.01 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.01 0 5 3 0 4 0 2 -> 2 2 1 0 5 1 3 2 1 4 , 215.89/55.01 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.01 1 0 0 1 0 4 0 -> 1 4 1 3 2 2 1 5 4 5 , 215.89/55.01 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.01 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.01 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.01 1 0 4 5 4 5 0 -> 2 2 1 2 0 2 5 3 1 1 , 215.89/55.01 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.01 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 215.89/55.01 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.01 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.01 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.01 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.01 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.01 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.01 5 1 3 0 4 0 0 -> 5 1 4 1 4 5 2 2 3 5 , 215.89/55.01 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.01 215.89/55.01 215.89/55.01 The system was filtered by the following matrix interpretation 215.89/55.01 of type E_J with J = {1,...,2} and dimension 6: 215.89/55.01 215.89/55.01 0 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 1 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 1 0 0 0 1 1 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 \ / 215.89/55.01 1 is interpreted by 215.89/55.01 / \ 215.89/55.01 | 1 0 0 0 0 0 | 215.89/55.01 | 0 1 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 | 1 0 0 0 0 1 | 215.89/55.01 | 0 0 0 0 0 0 | 215.89/55.01 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 1 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 26-rule system 215.89/55.02 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.02 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.02 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.02 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.02 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 2 5 1 3 3 0 1 -> 2 1 3 4 3 2 4 5 5 5 , 215.89/55.02 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 25-rule system 215.89/55.02 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.02 1 0 5 0 -> 1 2 2 4 4 4 2 2 1 1 , 215.89/55.02 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.02 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.02 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 5: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 24-rule system 215.89/55.02 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.02 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.02 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.02 1 0 1 4 5 0 5 -> 4 1 1 1 1 4 1 0 1 5 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 23-rule system 215.89/55.02 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.02 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.02 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 0 1 1 1 0 4 -> 1 4 1 1 4 0 3 3 0 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 22-rule system 215.89/55.02 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.02 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.02 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 4 0 0 1 0 3 4 -> 4 3 2 3 3 1 5 5 2 0 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 1 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 21-rule system 215.89/55.02 { 0 0 0 1 -> 2 3 2 2 4 2 2 4 0 5 , 215.89/55.02 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.02 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 5: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 20-rule system 215.89/55.02 { 0 5 0 0 1 -> 0 5 1 1 1 4 4 3 1 5 , 215.89/55.02 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 6: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 19-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 0 5 0 0 3 4 -> 2 4 2 0 1 4 5 2 2 4 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 7: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 18-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 0 5 3 2 2 5 0 -> 2 3 2 1 2 2 4 1 5 1 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 17-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 1 4 5 5 3 -> 2 2 4 4 4 5 0 3 2 4 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 13: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 16-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 0 5 1 0 3 4 -> 5 5 4 1 2 2 2 4 1 5 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 1 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 15-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 1 3 5 5 0 -> 5 2 3 2 1 5 4 4 4 1 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 7: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 14-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 0 0 0 4 -> 2 4 2 1 3 1 1 2 3 2 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 13-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 0 0 3 1 0 4 -> 3 1 2 4 3 4 3 4 2 1 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 8: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 12-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 1 5 5 0 4 1 -> 1 1 4 4 2 4 3 3 2 1 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 7: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 11-rule system 215.89/55.02 { 0 0 3 5 2 5 -> 2 4 1 1 2 2 5 2 3 5 , 215.89/55.02 0 4 3 1 0 2 -> 2 2 2 4 1 1 0 3 5 2 , 215.89/55.02 1 5 0 0 0 2 -> 1 1 1 5 5 1 5 2 2 4 , 215.89/55.02 4 5 0 3 2 2 -> 4 2 2 4 2 5 2 2 4 2 , 215.89/55.02 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 0 1 3 1 3 4 2 -> 5 4 4 2 1 1 1 1 5 4 , 215.89/55.02 1 0 0 4 1 1 2 -> 2 2 4 0 2 0 5 4 1 2 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 0 0 1 2 5 2 -> 5 2 0 2 2 1 5 4 5 2 , 215.89/55.02 5 1 0 0 4 3 4 -> 5 4 3 2 3 2 2 5 4 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 2: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 2 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 1 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 3 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 3-rule system 215.89/55.02 { 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 1 3 5 4 1 3 3 -> 1 4 4 2 0 1 1 5 3 3 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 2: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 1 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 2-rule system 215.89/55.02 { 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 , 215.89/55.02 5 2 0 1 0 4 2 -> 2 5 1 1 4 1 1 4 1 2 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 2: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 1 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 | 215.89/55.02 | 0 1 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 1-rule system 215.89/55.02 { 5 2 5 0 1 2 -> 5 2 4 2 4 0 1 5 2 4 } 215.89/55.02 215.89/55.02 215.89/55.02 The system was filtered by the following matrix interpretation 215.89/55.02 of type E_J with J = {1,...,2} and dimension 7: 215.89/55.02 215.89/55.02 0 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 1 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 1 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 1 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 2 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 1 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 3 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 4 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 0 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 5 is interpreted by 215.89/55.02 / \ 215.89/55.02 | 1 0 1 0 0 0 0 | 215.89/55.02 | 0 1 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 1 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 | 0 0 0 0 0 0 0 | 215.89/55.02 \ / 215.89/55.02 215.89/55.02 Remains to prove termination of the 0-rule system 215.89/55.02 { } 215.89/55.02 215.89/55.02 215.89/55.02 The system is trivially terminating. 260.77/69.87 EOF