27.01/7.22 YES 27.65/7.39 27.65/7.39 27.65/7.39 The system was filtered by the following matrix interpretation 27.65/7.39 of type E_J with J = {1,...,2} and dimension 5: 27.65/7.39 27.65/7.39 1 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 | 27.65/7.39 | 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 | 27.65/7.39 \ / 27.65/7.39 0 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 | 27.65/7.39 | 0 0 0 1 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 | 27.65/7.39 \ / 27.65/7.39 4 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 1 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 2 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 0 0 1 0 | 27.65/7.39 \ / 27.65/7.39 3 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 5 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 | 27.65/7.39 | 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 27.65/7.39 Remains to prove termination of the 29-rule system 27.65/7.39 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.39 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.39 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.39 5 0 1 4 3 -> 3 5 4 2 2 0 4 3 3 0 , 27.65/7.39 5 5 5 5 2 -> 5 2 2 0 3 3 1 5 0 0 , 27.65/7.39 0 5 0 1 1 3 -> 0 2 5 3 4 3 1 0 1 3 , 27.65/7.39 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.39 1 5 4 0 1 1 -> 4 3 4 4 0 0 0 5 3 3 , 27.65/7.39 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.39 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.39 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.39 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.39 4 1 3 0 4 0 -> 5 0 1 2 3 1 2 3 5 2 , 27.65/7.39 5 4 3 2 4 0 -> 5 0 1 2 0 2 2 3 0 2 , 27.65/7.39 0 0 5 1 2 5 1 -> 0 1 2 4 3 5 0 1 3 3 , 27.65/7.39 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.39 0 1 1 1 3 0 1 -> 4 2 2 3 3 0 4 0 0 3 , 27.65/7.39 0 3 1 0 3 1 1 -> 0 3 5 3 5 4 4 5 4 0 , 27.65/7.39 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.39 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.39 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.39 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.39 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.39 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.39 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.39 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.39 2 4 2 3 3 4 1 -> 4 4 3 5 4 0 2 2 4 4 , 27.65/7.39 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.39 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.39 27.65/7.39 27.65/7.39 The system was filtered by the following matrix interpretation 27.65/7.39 of type E_J with J = {1,...,2} and dimension 12: 27.65/7.39 27.65/7.39 1 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 0 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 4 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 2 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 3 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 5 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 27.65/7.39 Remains to prove termination of the 28-rule system 27.65/7.39 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.39 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.39 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.39 5 0 1 4 3 -> 3 5 4 2 2 0 4 3 3 0 , 27.65/7.39 5 5 5 5 2 -> 5 2 2 0 3 3 1 5 0 0 , 27.65/7.39 0 5 0 1 1 3 -> 0 2 5 3 4 3 1 0 1 3 , 27.65/7.39 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.39 1 5 4 0 1 1 -> 4 3 4 4 0 0 0 5 3 3 , 27.65/7.39 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.39 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.39 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.39 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.39 4 1 3 0 4 0 -> 5 0 1 2 3 1 2 3 5 2 , 27.65/7.39 5 4 3 2 4 0 -> 5 0 1 2 0 2 2 3 0 2 , 27.65/7.39 0 0 5 1 2 5 1 -> 0 1 2 4 3 5 0 1 3 3 , 27.65/7.39 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.39 0 1 1 1 3 0 1 -> 4 2 2 3 3 0 4 0 0 3 , 27.65/7.39 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.39 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.39 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.39 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.39 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.39 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.39 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.39 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.39 2 4 2 3 3 4 1 -> 4 4 3 5 4 0 2 2 4 4 , 27.65/7.39 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.39 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.39 27.65/7.39 27.65/7.39 The system was filtered by the following matrix interpretation 27.65/7.39 of type E_J with J = {1,...,2} and dimension 6: 27.65/7.39 27.65/7.39 1 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 1 0 | 27.65/7.39 | 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 0 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 1 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 4 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 1 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 2 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 3 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 5 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 0 0 | 27.65/7.39 \ / 27.65/7.39 27.65/7.39 Remains to prove termination of the 25-rule system 27.65/7.39 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.39 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.39 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.39 5 5 5 5 2 -> 5 2 2 0 3 3 1 5 0 0 , 27.65/7.39 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.39 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.39 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.39 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.39 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.39 4 1 3 0 4 0 -> 5 0 1 2 3 1 2 3 5 2 , 27.65/7.39 5 4 3 2 4 0 -> 5 0 1 2 0 2 2 3 0 2 , 27.65/7.39 0 0 5 1 2 5 1 -> 0 1 2 4 3 5 0 1 3 3 , 27.65/7.39 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.39 0 1 1 1 3 0 1 -> 4 2 2 3 3 0 4 0 0 3 , 27.65/7.39 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.39 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.39 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.39 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.39 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.39 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.39 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.39 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.39 2 4 2 3 3 4 1 -> 4 4 3 5 4 0 2 2 4 4 , 27.65/7.39 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.39 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.39 27.65/7.39 27.65/7.39 The system was filtered by the following matrix interpretation 27.65/7.39 of type E_J with J = {1,...,2} and dimension 12: 27.65/7.39 27.65/7.39 1 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 0 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 4 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 2 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 3 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 5 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 27.65/7.39 Remains to prove termination of the 24-rule system 27.65/7.39 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.39 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.39 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.39 5 5 5 5 2 -> 5 2 2 0 3 3 1 5 0 0 , 27.65/7.39 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.39 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.39 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.39 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.39 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.39 4 1 3 0 4 0 -> 5 0 1 2 3 1 2 3 5 2 , 27.65/7.39 5 4 3 2 4 0 -> 5 0 1 2 0 2 2 3 0 2 , 27.65/7.39 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.39 0 1 1 1 3 0 1 -> 4 2 2 3 3 0 4 0 0 3 , 27.65/7.39 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.39 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.39 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.39 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.39 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.39 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.39 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.39 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.39 2 4 2 3 3 4 1 -> 4 4 3 5 4 0 2 2 4 4 , 27.65/7.39 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.39 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.39 27.65/7.39 27.65/7.39 The system was filtered by the following matrix interpretation 27.65/7.39 of type E_J with J = {1,...,2} and dimension 18: 27.65/7.39 27.65/7.39 1 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 0 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 4 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 2 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 3 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 5 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 27.65/7.39 Remains to prove termination of the 23-rule system 27.65/7.39 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.39 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.39 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.39 5 5 5 5 2 -> 5 2 2 0 3 3 1 5 0 0 , 27.65/7.39 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.39 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.39 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.39 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.39 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.39 4 1 3 0 4 0 -> 5 0 1 2 3 1 2 3 5 2 , 27.65/7.39 5 4 3 2 4 0 -> 5 0 1 2 0 2 2 3 0 2 , 27.65/7.39 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.39 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.39 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.39 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.39 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.39 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.39 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.39 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.39 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.39 2 4 2 3 3 4 1 -> 4 4 3 5 4 0 2 2 4 4 , 27.65/7.39 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.39 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.39 27.65/7.39 27.65/7.39 The system was filtered by the following matrix interpretation 27.65/7.39 of type E_J with J = {1,...,2} and dimension 8: 27.65/7.39 27.65/7.39 1 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 0 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 4 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 1 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 1 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 2 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 3 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 1 0 0 0 | 27.65/7.39 | 0 0 0 0 0 1 0 0 | 27.65/7.39 | 0 0 0 0 0 0 1 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 5 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 1 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 | 27.65/7.39 \ / 27.65/7.39 27.65/7.39 Remains to prove termination of the 22-rule system 27.65/7.39 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.39 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.39 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.39 5 5 5 5 2 -> 5 2 2 0 3 3 1 5 0 0 , 27.65/7.39 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.39 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.39 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.39 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.39 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.39 4 1 3 0 4 0 -> 5 0 1 2 3 1 2 3 5 2 , 27.65/7.39 5 4 3 2 4 0 -> 5 0 1 2 0 2 2 3 0 2 , 27.65/7.39 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.39 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.39 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.39 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.39 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.39 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.39 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.39 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.39 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.39 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.39 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.39 27.65/7.39 27.65/7.39 The system was filtered by the following matrix interpretation 27.65/7.39 of type E_J with J = {1,...,2} and dimension 17: 27.65/7.39 27.65/7.39 1 is interpreted by 27.65/7.39 / \ 27.65/7.39 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.39 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 21-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 5 5 5 5 2 -> 5 2 2 0 3 3 1 5 0 0 , 27.65/7.40 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 4 1 3 0 4 0 -> 5 0 1 2 3 1 2 3 5 2 , 27.65/7.40 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.40 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.40 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 16: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 20-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 5 5 5 5 2 -> 5 2 2 0 3 3 1 5 0 0 , 27.65/7.40 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.40 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.40 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 6: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 1 0 | 27.65/7.40 | 0 0 1 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 19-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.40 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.40 0 4 2 4 2 3 4 -> 2 0 0 0 5 5 2 0 4 4 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 13: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 18-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 0 5 5 5 0 5 -> 0 1 2 3 5 3 0 0 4 1 , 27.65/7.40 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 13: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 1 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 17-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 1 4 2 5 2 -> 4 3 5 0 2 2 0 0 5 3 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 11: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 16-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 0 5 0 5 2 5 -> 4 2 0 0 2 5 1 3 4 1 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 12: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 15-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 4 1 2 5 0 5 -> 2 0 1 5 1 5 0 2 0 5 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 13: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 14-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 1 2 4 4 2 4 0 -> 0 2 4 2 3 0 4 3 4 3 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 14: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 13-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 3 1 0 3 0 -> 3 2 2 2 4 3 3 5 2 0 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 12: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 1 0 0 0 1 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 12-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 0 4 3 4 -> 0 4 5 3 5 2 0 3 1 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 8: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 11-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 1 0 5 5 0 4 2 -> 1 0 2 1 5 4 5 2 0 2 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 13: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 10-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 , 27.65/7.40 3 4 2 0 5 1 2 -> 3 3 3 3 3 2 0 1 5 3 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 8: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 1 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 9-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 0 5 0 3 5 2 0 -> 2 2 3 3 1 4 2 2 0 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 18: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 8-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 2 4 0 1 0 4 -> 0 2 3 3 3 3 5 0 2 5 , 27.65/7.40 2 4 1 3 1 4 -> 5 5 3 4 3 2 1 4 4 4 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 2 1 1 4 4 1 4 -> 4 2 4 3 4 3 5 4 5 4 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 2: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 1 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 5-rule system 27.65/7.40 { 0 4 1 5 5 -> 2 4 2 0 2 4 3 0 1 5 , 27.65/7.40 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 6: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 | 27.65/7.40 | 0 1 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 4-rule system 27.65/7.40 { 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 , 27.65/7.40 3 4 2 4 2 5 -> 3 5 2 2 0 5 2 4 3 2 , 27.65/7.40 1 0 4 2 4 2 4 -> 1 2 0 0 4 4 2 2 2 2 , 27.65/7.40 3 4 0 5 2 3 5 -> 3 3 5 0 0 2 2 3 3 5 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 2: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 1 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 | 27.65/7.40 | 0 1 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 1-rule system 27.65/7.40 { 2 5 2 5 4 0 -> 4 2 5 3 5 5 2 2 3 0 } 27.65/7.40 27.65/7.40 27.65/7.40 The system was filtered by the following matrix interpretation 27.65/7.40 of type E_J with J = {1,...,2} and dimension 7: 27.65/7.40 27.65/7.40 1 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 0 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 4 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 1 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 2 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 1 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 1 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 3 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 5 is interpreted by 27.65/7.40 / \ 27.65/7.40 | 1 0 0 0 0 0 0 | 27.65/7.40 | 0 1 0 0 0 0 0 | 27.65/7.40 | 0 0 0 1 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 1 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 | 0 0 0 0 0 0 0 | 27.65/7.40 \ / 27.65/7.40 27.65/7.40 Remains to prove termination of the 0-rule system 27.65/7.40 { } 27.65/7.40 27.65/7.40 27.65/7.40 The system is trivially terminating. 27.65/7.42 EOF