40.98/10.75 YES 41.65/10.90 41.65/10.90 41.65/10.90 The system was filtered by the following matrix interpretation 41.65/10.90 of type E_J with J = {1,...,2} and dimension 6: 41.65/10.90 41.65/10.90 0 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 1 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 2 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 1 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 3 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 4 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 5 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 41.65/10.90 Remains to prove termination of the 46-rule system 41.65/10.90 { 0 1 2 -> 0 1 3 2 , 41.65/10.90 0 1 2 -> 0 2 1 0 , 41.65/10.90 0 1 2 -> 0 2 1 3 , 41.65/10.90 0 1 2 -> 0 2 2 1 , 41.65/10.90 0 1 2 -> 0 2 2 1 4 , 41.65/10.90 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.90 0 2 4 -> 0 2 1 4 3 , 41.65/10.90 0 4 2 -> 4 0 2 3 , 41.65/10.90 0 4 2 -> 4 0 5 5 2 , 41.65/10.90 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.90 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.90 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.90 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.90 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.90 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.90 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.90 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.90 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.90 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.90 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.90 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.90 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.90 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.90 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.90 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.90 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.90 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.90 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.90 5 0 1 2 -> 1 3 2 5 0 , 41.65/10.90 5 0 1 2 -> 5 0 2 1 3 3 , 41.65/10.90 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.90 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.90 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.90 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.90 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.90 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.90 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.90 0 4 1 1 2 -> 3 1 4 0 2 1 , 41.65/10.90 0 4 2 1 2 -> 4 1 3 2 0 2 , 41.65/10.90 0 4 2 1 4 -> 0 2 1 4 4 4 , 41.65/10.90 0 4 2 5 2 -> 5 4 3 2 2 0 , 41.65/10.90 0 4 5 1 2 -> 1 4 2 0 5 5 , 41.65/10.90 0 4 5 1 2 -> 4 0 2 5 1 1 , 41.65/10.90 5 0 1 2 2 -> 5 0 2 2 1 2 , 41.65/10.90 5 0 2 4 2 -> 0 2 2 5 1 4 , 41.65/10.90 5 0 4 4 2 -> 0 5 2 5 4 4 } 41.65/10.90 41.65/10.90 41.65/10.90 The system was filtered by the following matrix interpretation 41.65/10.90 of type E_J with J = {1,...,2} and dimension 6: 41.65/10.90 41.65/10.90 0 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 1 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 2 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 3 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 4 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 5 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 1 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 41.65/10.90 Remains to prove termination of the 45-rule system 41.65/10.90 { 0 1 2 -> 0 1 3 2 , 41.65/10.90 0 1 2 -> 0 2 1 0 , 41.65/10.90 0 1 2 -> 0 2 1 3 , 41.65/10.90 0 1 2 -> 0 2 2 1 , 41.65/10.90 0 1 2 -> 0 2 2 1 4 , 41.65/10.90 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.90 0 2 4 -> 0 2 1 4 3 , 41.65/10.90 0 4 2 -> 4 0 2 3 , 41.65/10.90 0 4 2 -> 4 0 5 5 2 , 41.65/10.90 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.90 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.90 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.90 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.90 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.90 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.90 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.90 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.90 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.90 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.90 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.90 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.90 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.90 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.90 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.90 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.90 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.90 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.90 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.90 5 0 1 2 -> 1 3 2 5 0 , 41.65/10.90 5 0 1 2 -> 5 0 2 1 3 3 , 41.65/10.90 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.90 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.90 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.90 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.90 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.90 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.90 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.90 0 4 1 1 2 -> 3 1 4 0 2 1 , 41.65/10.90 0 4 2 1 2 -> 4 1 3 2 0 2 , 41.65/10.90 0 4 2 1 4 -> 0 2 1 4 4 4 , 41.65/10.90 0 4 5 1 2 -> 1 4 2 0 5 5 , 41.65/10.90 0 4 5 1 2 -> 4 0 2 5 1 1 , 41.65/10.90 5 0 1 2 2 -> 5 0 2 2 1 2 , 41.65/10.90 5 0 2 4 2 -> 0 2 2 5 1 4 , 41.65/10.90 5 0 4 4 2 -> 0 5 2 5 4 4 } 41.65/10.90 41.65/10.90 41.65/10.90 The system was filtered by the following matrix interpretation 41.65/10.90 of type E_J with J = {1,...,2} and dimension 6: 41.65/10.90 41.65/10.90 0 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 1 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 2 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 1 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 3 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 4 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 5 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 41.65/10.90 Remains to prove termination of the 44-rule system 41.65/10.90 { 0 1 2 -> 0 1 3 2 , 41.65/10.90 0 1 2 -> 0 2 1 0 , 41.65/10.90 0 1 2 -> 0 2 1 3 , 41.65/10.90 0 1 2 -> 0 2 2 1 , 41.65/10.90 0 1 2 -> 0 2 2 1 4 , 41.65/10.90 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.90 0 2 4 -> 0 2 1 4 3 , 41.65/10.90 0 4 2 -> 4 0 2 3 , 41.65/10.90 0 4 2 -> 4 0 5 5 2 , 41.65/10.90 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.90 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.90 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.90 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.90 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.90 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.90 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.90 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.90 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.90 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.90 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.90 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.90 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.90 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.90 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.90 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.90 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.90 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.90 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.90 5 0 1 2 -> 1 3 2 5 0 , 41.65/10.90 5 0 1 2 -> 5 0 2 1 3 3 , 41.65/10.90 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.90 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.90 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.90 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.90 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.90 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.90 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.90 0 4 1 1 2 -> 3 1 4 0 2 1 , 41.65/10.90 0 4 2 1 2 -> 4 1 3 2 0 2 , 41.65/10.90 0 4 2 1 4 -> 0 2 1 4 4 4 , 41.65/10.90 0 4 5 1 2 -> 1 4 2 0 5 5 , 41.65/10.90 0 4 5 1 2 -> 4 0 2 5 1 1 , 41.65/10.90 5 0 2 4 2 -> 0 2 2 5 1 4 , 41.65/10.90 5 0 4 4 2 -> 0 5 2 5 4 4 } 41.65/10.90 41.65/10.90 41.65/10.90 The system was filtered by the following matrix interpretation 41.65/10.90 of type E_J with J = {1,...,2} and dimension 8: 41.65/10.90 41.65/10.90 0 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 1 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 1 0 0 | 41.65/10.90 \ / 41.65/10.90 1 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 1 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 2 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 3 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 1 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 4 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 5 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 41.65/10.90 Remains to prove termination of the 42-rule system 41.65/10.90 { 0 1 2 -> 0 1 3 2 , 41.65/10.90 0 1 2 -> 0 2 1 0 , 41.65/10.90 0 1 2 -> 0 2 1 3 , 41.65/10.90 0 1 2 -> 0 2 2 1 , 41.65/10.90 0 1 2 -> 0 2 2 1 4 , 41.65/10.90 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.90 0 2 4 -> 0 2 1 4 3 , 41.65/10.90 0 4 2 -> 4 0 2 3 , 41.65/10.90 0 4 2 -> 4 0 5 5 2 , 41.65/10.90 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.90 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.90 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.90 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.90 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.90 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.90 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.90 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.90 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.90 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.90 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.90 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.90 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.90 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.90 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.90 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.90 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.90 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.90 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.90 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.90 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.90 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.90 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.90 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.90 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.90 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.90 0 4 1 1 2 -> 3 1 4 0 2 1 , 41.65/10.90 0 4 2 1 2 -> 4 1 3 2 0 2 , 41.65/10.90 0 4 2 1 4 -> 0 2 1 4 4 4 , 41.65/10.90 0 4 5 1 2 -> 1 4 2 0 5 5 , 41.65/10.90 0 4 5 1 2 -> 4 0 2 5 1 1 , 41.65/10.90 5 0 2 4 2 -> 0 2 2 5 1 4 , 41.65/10.90 5 0 4 4 2 -> 0 5 2 5 4 4 } 41.65/10.90 41.65/10.90 41.65/10.90 The system was filtered by the following matrix interpretation 41.65/10.90 of type E_J with J = {1,...,2} and dimension 10: 41.65/10.90 41.65/10.90 0 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 1 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 1 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 1 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 2 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 1 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 3 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 1 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 4 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 5 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 41.65/10.90 Remains to prove termination of the 41-rule system 41.65/10.90 { 0 1 2 -> 0 1 3 2 , 41.65/10.90 0 1 2 -> 0 2 1 0 , 41.65/10.90 0 1 2 -> 0 2 1 3 , 41.65/10.90 0 1 2 -> 0 2 2 1 , 41.65/10.90 0 1 2 -> 0 2 2 1 4 , 41.65/10.90 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.90 0 2 4 -> 0 2 1 4 3 , 41.65/10.90 0 4 2 -> 4 0 2 3 , 41.65/10.90 0 4 2 -> 4 0 5 5 2 , 41.65/10.90 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.90 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.90 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.90 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.90 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.90 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.90 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.90 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.90 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.90 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.90 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.90 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.90 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.90 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.90 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.90 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.90 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.90 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.90 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.90 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.90 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.90 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.90 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.90 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.90 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.90 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.90 0 4 1 1 2 -> 3 1 4 0 2 1 , 41.65/10.90 0 4 2 1 2 -> 4 1 3 2 0 2 , 41.65/10.90 0 4 2 1 4 -> 0 2 1 4 4 4 , 41.65/10.90 0 4 5 1 2 -> 1 4 2 0 5 5 , 41.65/10.90 0 4 5 1 2 -> 4 0 2 5 1 1 , 41.65/10.90 5 0 2 4 2 -> 0 2 2 5 1 4 } 41.65/10.90 41.65/10.90 41.65/10.90 The system was filtered by the following matrix interpretation 41.65/10.90 of type E_J with J = {1,...,2} and dimension 9: 41.65/10.90 41.65/10.90 0 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 1 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 1 0 0 | 41.65/10.90 \ / 41.65/10.90 1 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 1 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 1 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 2 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 3 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 1 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 4 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 5 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 41.65/10.90 Remains to prove termination of the 40-rule system 41.65/10.90 { 0 1 2 -> 0 1 3 2 , 41.65/10.90 0 1 2 -> 0 2 1 0 , 41.65/10.90 0 1 2 -> 0 2 1 3 , 41.65/10.90 0 1 2 -> 0 2 2 1 , 41.65/10.90 0 1 2 -> 0 2 2 1 4 , 41.65/10.90 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.90 0 2 4 -> 0 2 1 4 3 , 41.65/10.90 0 4 2 -> 4 0 2 3 , 41.65/10.90 0 4 2 -> 4 0 5 5 2 , 41.65/10.90 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.90 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.90 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.90 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.90 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.90 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.90 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.90 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.90 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.90 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.90 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.90 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.90 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.90 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.90 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.90 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.90 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.90 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.90 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.90 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.90 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.90 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.90 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.90 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.90 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.90 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.90 0 4 2 1 2 -> 4 1 3 2 0 2 , 41.65/10.90 0 4 2 1 4 -> 0 2 1 4 4 4 , 41.65/10.90 0 4 5 1 2 -> 1 4 2 0 5 5 , 41.65/10.90 0 4 5 1 2 -> 4 0 2 5 1 1 , 41.65/10.90 5 0 2 4 2 -> 0 2 2 5 1 4 } 41.65/10.90 41.65/10.90 41.65/10.90 The system was filtered by the following matrix interpretation 41.65/10.90 of type E_J with J = {1,...,2} and dimension 9: 41.65/10.90 41.65/10.90 0 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 1 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 1 0 0 | 41.65/10.90 \ / 41.65/10.90 1 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 1 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 1 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 2 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 3 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 1 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 4 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 1 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 5 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 41.65/10.90 Remains to prove termination of the 39-rule system 41.65/10.90 { 0 1 2 -> 0 1 3 2 , 41.65/10.90 0 1 2 -> 0 2 1 0 , 41.65/10.90 0 1 2 -> 0 2 1 3 , 41.65/10.90 0 1 2 -> 0 2 2 1 , 41.65/10.90 0 1 2 -> 0 2 2 1 4 , 41.65/10.90 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.90 0 2 4 -> 0 2 1 4 3 , 41.65/10.90 0 4 2 -> 4 0 2 3 , 41.65/10.90 0 4 2 -> 4 0 5 5 2 , 41.65/10.90 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.90 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.90 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.90 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.90 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.90 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.90 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.90 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.90 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.90 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.90 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.90 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.90 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.90 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.90 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.90 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.90 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.90 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.90 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.90 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.90 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.90 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.90 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.90 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.90 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.90 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.90 0 4 2 1 4 -> 0 2 1 4 4 4 , 41.65/10.90 0 4 5 1 2 -> 1 4 2 0 5 5 , 41.65/10.90 0 4 5 1 2 -> 4 0 2 5 1 1 , 41.65/10.90 5 0 2 4 2 -> 0 2 2 5 1 4 } 41.65/10.90 41.65/10.90 41.65/10.90 The system was filtered by the following matrix interpretation 41.65/10.90 of type E_J with J = {1,...,2} and dimension 9: 41.65/10.90 41.65/10.90 0 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 1 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 0 0 0 | 41.65/10.90 | 0 0 0 0 1 0 1 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 1 0 0 | 41.65/10.90 \ / 41.65/10.90 1 is interpreted by 41.65/10.90 / \ 41.65/10.90 | 1 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 1 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 1 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 | 0 0 0 0 0 0 0 0 1 | 41.65/10.90 | 0 0 0 0 0 0 0 0 0 | 41.65/10.90 \ / 41.65/10.90 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 1 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 37-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 2 4 -> 0 2 1 4 3 , 41.65/10.91 0 4 2 -> 4 0 2 3 , 41.65/10.91 0 4 2 -> 4 0 5 5 2 , 41.65/10.91 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.91 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.91 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.91 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.91 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.91 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.91 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.91 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.91 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.91 0 4 2 1 4 -> 0 2 1 4 4 4 , 41.65/10.91 5 0 2 4 2 -> 0 2 2 5 1 4 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 10: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 1 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 1 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 36-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 2 4 -> 0 2 1 4 3 , 41.65/10.91 0 4 2 -> 4 0 2 3 , 41.65/10.91 0 4 2 -> 4 0 5 5 2 , 41.65/10.91 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.91 0 1 2 2 -> 0 2 1 0 2 , 41.65/10.91 0 1 2 2 -> 1 3 0 2 2 , 41.65/10.91 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.91 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.91 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.91 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.91 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.91 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.91 0 4 2 1 4 -> 0 2 1 4 4 4 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 5: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 1 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 1 1 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 1 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 1 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 34-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 2 4 -> 0 2 1 4 3 , 41.65/10.91 0 4 2 -> 4 0 2 3 , 41.65/10.91 0 4 2 -> 4 0 5 5 2 , 41.65/10.91 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.91 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.91 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.91 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.91 0 1 2 5 -> 3 5 5 2 1 0 , 41.65/10.91 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.91 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.91 0 4 2 1 4 -> 0 2 1 4 4 4 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 5: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 1 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 1 1 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 1 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 1 1 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 33-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 2 4 -> 0 2 1 4 3 , 41.65/10.91 0 4 2 -> 4 0 2 3 , 41.65/10.91 0 4 2 -> 4 0 5 5 2 , 41.65/10.91 0 0 4 2 -> 0 0 2 2 3 4 , 41.65/10.91 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.91 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.91 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.91 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 2 4 2 -> 0 5 4 3 2 2 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 , 41.65/10.91 0 4 0 4 2 -> 4 4 0 0 2 2 , 41.65/10.91 0 4 2 1 4 -> 0 2 1 4 4 4 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 8: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 1 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 1 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 27-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 2 4 -> 0 2 1 4 3 , 41.65/10.91 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.91 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.91 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.91 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 4: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 1 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 26-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 1 2 4 -> 0 1 4 2 3 , 41.65/10.91 0 1 2 4 -> 4 0 2 2 1 1 , 41.65/10.91 0 1 2 4 -> 4 0 5 5 2 1 , 41.65/10.91 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 5: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 1 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 1 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 23-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 4 1 4 -> 0 5 3 1 4 4 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 6: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 1 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 1 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 1 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 22-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 1 4 2 -> 0 5 2 1 4 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 5: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 1 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 1 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 21-rule system 41.65/10.91 { 0 1 2 -> 0 1 3 2 , 41.65/10.91 0 1 2 -> 0 2 1 0 , 41.65/10.91 0 1 2 -> 0 2 1 3 , 41.65/10.91 0 1 2 -> 0 2 2 1 , 41.65/10.91 0 1 2 -> 0 2 2 1 4 , 41.65/10.91 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 1 5 2 -> 1 5 0 2 3 , 41.65/10.91 0 1 5 2 -> 0 2 2 1 0 5 , 41.65/10.91 0 1 5 2 -> 5 5 0 2 1 3 , 41.65/10.91 0 3 1 2 -> 0 2 1 3 2 , 41.65/10.91 0 3 1 2 -> 1 0 2 5 3 , 41.65/10.91 0 3 1 2 -> 1 5 0 2 3 , 41.65/10.91 0 3 1 2 -> 3 0 2 2 1 , 41.65/10.91 0 3 1 2 -> 3 2 2 1 0 , 41.65/10.91 0 3 1 2 -> 0 3 2 3 1 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 2 5 -> 2 3 1 3 0 5 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 , 41.65/10.91 0 3 5 1 2 -> 5 5 3 2 1 0 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 4: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 1 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 1 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 1 1 1 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 1 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 1 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 1 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 5-rule system 41.65/10.91 { 0 1 2 -> 5 1 0 5 2 3 , 41.65/10.91 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 4: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 1 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 | 41.65/10.91 | 0 1 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 | 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 4-rule system 41.65/10.91 { 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 , 41.65/10.91 0 3 1 5 2 -> 0 3 2 5 1 2 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 6: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 1 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 2 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 3 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 1 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 4 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 5 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 0 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 1 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 41.65/10.91 Remains to prove termination of the 3-rule system 41.65/10.91 { 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.91 0 1 1 2 5 -> 5 0 2 5 1 1 , 41.65/10.91 0 2 3 4 2 -> 3 2 2 3 4 0 } 41.65/10.91 41.65/10.91 41.65/10.91 The system was filtered by the following matrix interpretation 41.65/10.91 of type E_J with J = {1,...,2} and dimension 6: 41.65/10.91 41.65/10.91 0 is interpreted by 41.65/10.91 / \ 41.65/10.91 | 1 0 1 0 0 0 | 41.65/10.91 | 0 1 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 | 0 0 0 0 0 0 | 41.65/10.91 \ / 41.65/10.91 1 is interpreted by 41.65/10.91 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 2 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 1 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 1 1 0 0 0 | 41.65/10.92 \ / 41.65/10.92 3 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 1 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 4 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 1 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 5 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 41.65/10.92 Remains to prove termination of the 2-rule system 41.65/10.92 { 0 3 4 2 -> 0 2 2 3 4 , 41.65/10.92 0 1 1 2 5 -> 5 0 2 5 1 1 } 41.65/10.92 41.65/10.92 41.65/10.92 The system was filtered by the following matrix interpretation 41.65/10.92 of type E_J with J = {1,...,2} and dimension 5: 41.65/10.92 41.65/10.92 0 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 1 0 0 | 41.65/10.92 | 0 1 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 1 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 2 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 | 41.65/10.92 \ / 41.65/10.92 3 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 | 41.65/10.92 | 0 0 0 1 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 4 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 1 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 5 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 41.65/10.92 Remains to prove termination of the 1-rule system 41.65/10.92 { 0 1 1 2 5 -> 5 0 2 5 1 1 } 41.65/10.92 41.65/10.92 41.65/10.92 The system was filtered by the following matrix interpretation 41.65/10.92 of type E_J with J = {1,...,2} and dimension 6: 41.65/10.92 41.65/10.92 0 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 1 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 1 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 1 0 0 | 41.65/10.92 | 0 0 0 0 1 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 2 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 1 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 3 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 4 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 5 is interpreted by 41.65/10.92 / \ 41.65/10.92 | 1 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 0 0 0 0 0 | 41.65/10.92 | 0 1 0 0 0 0 | 41.65/10.92 \ / 41.65/10.92 41.65/10.92 Remains to prove termination of the 0-rule system 41.65/10.92 { } 41.65/10.92 41.65/10.92 41.65/10.92 The system is trivially terminating. 46.19/12.48 EOF