40.19/10.48 YES 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 10: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 39-rule system 40.65/10.62 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 40.65/10.62 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 40.65/10.62 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 40.65/10.62 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 40.65/10.62 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 40.65/10.62 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 40.65/10.62 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 0 0 1 4 0 4 -> 2 4 4 2 1 2 1 2 4 5 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 40.65/10.62 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 40.65/10.62 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 40.65/10.62 2 1 4 0 0 0 0 -> 2 1 4 0 2 1 1 3 1 4 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 40.65/10.62 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 12: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 38-rule system 40.65/10.62 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 40.65/10.62 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 40.65/10.62 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 40.65/10.62 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 40.65/10.62 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 40.65/10.62 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 0 0 1 4 0 4 -> 2 4 4 2 1 2 1 2 4 5 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 40.65/10.62 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 40.65/10.62 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 40.65/10.62 2 1 4 0 0 0 0 -> 2 1 4 0 2 1 1 3 1 4 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 40.65/10.62 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 8: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 37-rule system 40.65/10.62 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 40.65/10.62 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 40.65/10.62 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 40.65/10.62 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 40.65/10.62 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 40.65/10.62 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 0 0 1 4 0 4 -> 2 4 4 2 1 2 1 2 4 5 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 40.65/10.62 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 40.65/10.62 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 40.65/10.62 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 8: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 36-rule system 40.65/10.62 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 40.65/10.62 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 40.65/10.62 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 40.65/10.62 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 40.65/10.62 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 40.65/10.62 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 40.65/10.62 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 40.65/10.62 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 40.65/10.62 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 12: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 35-rule system 40.65/10.62 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 40.65/10.62 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 40.65/10.62 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 40.65/10.62 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 40.65/10.62 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 40.65/10.62 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 40.65/10.62 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 40.65/10.62 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 6: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 1 | 40.65/10.62 | 0 1 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 33-rule system 40.65/10.62 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 40.65/10.62 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 40.65/10.62 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 40.65/10.62 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 40.65/10.62 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 40.65/10.62 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 13: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 32-rule system 40.65/10.62 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 40.65/10.62 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 40.65/10.62 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 40.65/10.62 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 40.65/10.62 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 14: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 31-rule system 40.65/10.62 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 40.65/10.62 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 40.65/10.62 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 40.65/10.62 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 40.65/10.62 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 10: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 22-rule system 40.65/10.62 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 8: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 21-rule system 40.65/10.62 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 40.65/10.62 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 8: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 20-rule system 40.65/10.62 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 8: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 19-rule system 40.65/10.62 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 5: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 | 40.65/10.62 | 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 | 40.65/10.62 | 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 18-rule system 40.65/10.62 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 40.65/10.62 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 4: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 | 40.65/10.62 | 0 1 0 0 | 40.65/10.62 | 0 0 0 1 | 40.65/10.62 | 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 | 40.65/10.62 | 0 1 0 0 | 40.65/10.62 | 0 0 1 0 | 40.65/10.62 | 0 1 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 | 40.65/10.62 | 0 1 0 0 | 40.65/10.62 | 0 0 0 0 | 40.65/10.62 | 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 | 40.65/10.62 | 0 1 0 0 | 40.65/10.62 | 0 0 0 0 | 40.65/10.62 | 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 | 40.65/10.62 | 0 1 0 0 | 40.65/10.62 | 0 0 0 0 | 40.65/10.62 | 0 1 0 0 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 | 40.65/10.62 | 0 1 0 0 | 40.65/10.62 | 0 0 0 0 | 40.65/10.62 | 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 16-rule system 40.65/10.62 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 7: 40.65/10.62 40.65/10.62 0 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 1 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 4 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 1 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 2 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 3 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 1 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 5 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 1 0 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 1 | 40.65/10.62 \ / 40.65/10.62 1 is interpreted by 40.65/10.62 / \ 40.65/10.62 | 1 0 0 1 0 0 0 | 40.65/10.62 | 0 1 0 0 0 0 0 | 40.65/10.62 | 0 0 0 1 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 | 0 0 0 0 0 0 0 | 40.65/10.62 \ / 40.65/10.62 40.65/10.62 Remains to prove termination of the 15-rule system 40.65/10.62 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.62 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.62 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.62 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.62 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.62 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.62 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.62 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 40.65/10.62 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.62 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.62 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.62 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.62 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.62 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.62 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 } 40.65/10.62 40.65/10.62 40.65/10.62 The system was filtered by the following matrix interpretation 40.65/10.62 of type E_J with J = {1,...,2} and dimension 17: 40.65/10.63 40.65/10.63 0 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 4 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 2 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 3 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 5 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 1 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 40.65/10.63 Remains to prove termination of the 14-rule system 40.65/10.63 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.63 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.63 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.63 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 40.65/10.63 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.63 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.63 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.63 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.63 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.63 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.63 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.63 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.63 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.63 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 } 40.65/10.63 40.65/10.63 40.65/10.63 The system was filtered by the following matrix interpretation 40.65/10.63 of type E_J with J = {1,...,2} and dimension 6: 40.65/10.63 40.65/10.63 0 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 | 0 0 0 1 0 0 | 40.65/10.63 | 0 0 0 0 1 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 4 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 2 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 1 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 3 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 5 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 1 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 1 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 1 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 40.65/10.63 Remains to prove termination of the 13-rule system 40.65/10.63 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.63 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 40.65/10.63 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 40.65/10.63 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 40.65/10.63 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 40.65/10.63 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.63 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 40.65/10.63 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.63 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 40.65/10.63 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.63 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.63 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 40.65/10.63 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 } 40.65/10.63 40.65/10.63 40.65/10.63 The system was filtered by the following matrix interpretation 40.65/10.63 of type E_J with J = {1,...,2} and dimension 7: 40.65/10.63 40.65/10.63 0 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 1 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 4 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 2 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 1 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 | 40.65/10.63 | 0 0 0 1 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 3 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 1 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 5 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 1 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 1 | 40.65/10.63 | 0 1 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 1 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 1 | 40.65/10.63 | 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 40.65/10.63 Remains to prove termination of the 6-rule system 40.65/10.63 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.63 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.63 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.63 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.63 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 40.65/10.63 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 } 40.65/10.63 40.65/10.63 40.65/10.63 The system was filtered by the following matrix interpretation 40.65/10.63 of type E_J with J = {1,...,2} and dimension 8: 40.65/10.63 40.65/10.63 0 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 4 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 1 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 1 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 2 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 1 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 3 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 5 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 1 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 1 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 0 0 0 0 0 0 | 40.65/10.63 | 0 1 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 1 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 1 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 | 0 0 0 0 0 0 0 0 | 40.65/10.63 \ / 40.65/10.63 40.65/10.63 Remains to prove termination of the 5-rule system 40.65/10.63 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 40.65/10.63 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.63 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 40.65/10.63 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 40.65/10.63 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 } 40.65/10.63 40.65/10.63 40.65/10.63 The system was filtered by the following matrix interpretation 40.65/10.63 of type E_J with J = {1,...,2} and dimension 2: 40.65/10.63 40.65/10.63 0 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 1 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 4 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 2 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 3 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 5 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 1 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 40.65/10.63 Remains to prove termination of the 2-rule system 40.65/10.63 { 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 40.65/10.63 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 } 40.65/10.63 40.65/10.63 40.65/10.63 The system was filtered by the following matrix interpretation 40.65/10.63 of type E_J with J = {1,...,2} and dimension 2: 40.65/10.63 40.65/10.63 0 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 4 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 2 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 1 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 3 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 5 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 1 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 40.65/10.63 Remains to prove termination of the 1-rule system 40.65/10.63 { 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 } 40.65/10.63 40.65/10.63 40.65/10.63 The system was filtered by the following matrix interpretation 40.65/10.63 of type E_J with J = {1,...,2} and dimension 2: 40.65/10.63 40.65/10.63 0 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 4 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 2 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 3 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 5 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 0 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 1 is interpreted by 40.65/10.63 / \ 40.65/10.63 | 1 1 | 40.65/10.63 | 0 1 | 40.65/10.63 \ / 40.65/10.63 40.65/10.63 Remains to prove termination of the 0-rule system 40.65/10.63 { } 40.65/10.63 40.65/10.63 40.65/10.63 The system is trivially terminating. 40.75/10.66 EOF