37.05/9.70 YES 38.61/10.20 38.61/10.20 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 2: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 1 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 1 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 1 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 1 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 1 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 1 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 47-rule system 38.61/10.20 { 0 0 1 0 1 2 3 -> 0 0 1 0 2 1 3 , 38.61/10.20 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 5 3 5 4 5 3 3 5 -> 5 5 3 4 5 3 3 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 4 1 3 0 2 0 1 5 1 0 -> 1 2 3 3 2 5 2 1 1 4 , 38.61/10.20 5 5 2 5 2 0 3 4 2 0 -> 5 5 5 2 2 3 0 2 4 0 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 4 4 1 1 2 1 1 0 3 1 -> 4 4 1 4 2 1 1 1 0 3 1 , 38.61/10.20 5 1 0 4 0 5 4 5 5 3 0 3 -> 5 1 0 4 5 0 4 5 5 3 0 3 , 38.61/10.20 0 5 3 4 4 4 5 0 1 2 2 4 4 -> 0 5 4 3 4 4 5 0 1 2 2 4 4 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 5 0 0 0 2 5 5 3 2 3 4 0 5 1 3 -> 5 0 0 0 2 5 5 2 3 3 4 0 5 1 3 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 2: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 1 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 | 38.61/10.20 | 0 1 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 46-rule system 38.61/10.20 { 0 0 1 0 1 2 3 -> 0 0 1 0 2 1 3 , 38.61/10.20 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 5 3 5 4 5 3 3 5 -> 5 5 3 4 5 3 3 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 5 5 2 5 2 0 3 4 2 0 -> 5 5 5 2 2 3 0 2 4 0 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 4 4 1 1 2 1 1 0 3 1 -> 4 4 1 4 2 1 1 1 0 3 1 , 38.61/10.20 5 1 0 4 0 5 4 5 5 3 0 3 -> 5 1 0 4 5 0 4 5 5 3 0 3 , 38.61/10.20 0 5 3 4 4 4 5 0 1 2 2 4 4 -> 0 5 4 3 4 4 5 0 1 2 2 4 4 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 5 0 0 0 2 5 5 3 2 3 4 0 5 1 3 -> 5 0 0 0 2 5 5 2 3 3 4 0 5 1 3 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 8: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 45-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 5 3 5 4 5 3 3 5 -> 5 5 3 4 5 3 3 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 5 5 2 5 2 0 3 4 2 0 -> 5 5 5 2 2 3 0 2 4 0 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 4 4 1 1 2 1 1 0 3 1 -> 4 4 1 4 2 1 1 1 0 3 1 , 38.61/10.20 5 1 0 4 0 5 4 5 5 3 0 3 -> 5 1 0 4 5 0 4 5 5 3 0 3 , 38.61/10.20 0 5 3 4 4 4 5 0 1 2 2 4 4 -> 0 5 4 3 4 4 5 0 1 2 2 4 4 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 5 0 0 0 2 5 5 3 2 3 4 0 5 1 3 -> 5 0 0 0 2 5 5 2 3 3 4 0 5 1 3 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 9: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 44-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 5 5 2 5 2 0 3 4 2 0 -> 5 5 5 2 2 3 0 2 4 0 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 4 4 1 1 2 1 1 0 3 1 -> 4 4 1 4 2 1 1 1 0 3 1 , 38.61/10.20 5 1 0 4 0 5 4 5 5 3 0 3 -> 5 1 0 4 5 0 4 5 5 3 0 3 , 38.61/10.20 0 5 3 4 4 4 5 0 1 2 2 4 4 -> 0 5 4 3 4 4 5 0 1 2 2 4 4 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 5 0 0 0 2 5 5 3 2 3 4 0 5 1 3 -> 5 0 0 0 2 5 5 2 3 3 4 0 5 1 3 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 11: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 43-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 4 4 1 1 2 1 1 0 3 1 -> 4 4 1 4 2 1 1 1 0 3 1 , 38.61/10.20 5 1 0 4 0 5 4 5 5 3 0 3 -> 5 1 0 4 5 0 4 5 5 3 0 3 , 38.61/10.20 0 5 3 4 4 4 5 0 1 2 2 4 4 -> 0 5 4 3 4 4 5 0 1 2 2 4 4 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 5 0 0 0 2 5 5 3 2 3 4 0 5 1 3 -> 5 0 0 0 2 5 5 2 3 3 4 0 5 1 3 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 12: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 42-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 5 1 0 4 0 5 4 5 5 3 0 3 -> 5 1 0 4 5 0 4 5 5 3 0 3 , 38.61/10.20 0 5 3 4 4 4 5 0 1 2 2 4 4 -> 0 5 4 3 4 4 5 0 1 2 2 4 4 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 5 0 0 0 2 5 5 3 2 3 4 0 5 1 3 -> 5 0 0 0 2 5 5 2 3 3 4 0 5 1 3 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 13: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 41-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 0 5 3 4 4 4 5 0 1 2 2 4 4 -> 0 5 4 3 4 4 5 0 1 2 2 4 4 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 5 0 0 0 2 5 5 3 2 3 4 0 5 1 3 -> 5 0 0 0 2 5 5 2 3 3 4 0 5 1 3 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 14: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 40-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 5 0 0 0 2 5 5 3 2 3 4 0 5 1 3 -> 5 0 0 0 2 5 5 2 3 3 4 0 5 1 3 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 16: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 39-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 3 5 5 0 4 1 1 5 3 0 2 1 5 2 2 1 1 5 -> 5 5 3 5 4 5 0 1 1 3 0 2 1 5 2 2 1 1 5 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 20: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 38-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 5 4 1 1 0 4 5 3 0 5 0 1 0 1 4 1 1 2 3 -> 5 4 1 0 1 5 4 3 0 5 1 0 0 1 4 1 3 2 1 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.20 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.20 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.20 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.20 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.20 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.20 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.20 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.20 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.20 38.61/10.20 38.61/10.20 The system was filtered by the following matrix interpretation 38.61/10.20 of type E_J with J = {1,...,2} and dimension 20: 38.61/10.20 38.61/10.20 0 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 1 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 2 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 3 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 4 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 5 is interpreted by 38.61/10.20 / \ 38.61/10.20 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.20 \ / 38.61/10.20 38.61/10.20 Remains to prove termination of the 37-rule system 38.61/10.20 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.20 1 3 3 1 4 3 2 3 5 -> 1 3 1 3 3 4 2 3 5 , 38.61/10.20 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.20 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.20 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.20 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.20 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.20 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.20 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.20 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.20 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.20 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.20 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.20 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.20 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.20 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.20 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.20 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.20 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.20 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.20 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.20 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.20 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.20 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.20 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.20 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.20 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.20 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.20 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 10: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 36-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 1 3 5 2 2 0 2 3 3 1 3 -> 1 3 2 5 2 0 2 3 3 1 3 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.21 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.21 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.21 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 12: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 35-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 1 3 5 3 5 0 2 1 4 5 2 1 5 1 5 5 -> 1 3 5 3 5 0 2 1 5 4 2 1 5 1 5 5 , 38.61/10.21 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.21 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.21 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 17: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 34-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 1 5 4 5 5 2 4 0 4 4 0 3 4 2 0 0 -> 1 5 4 5 5 2 4 0 4 0 4 3 4 2 0 0 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.21 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.21 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 17: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 33-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 2 1 2 0 5 2 0 1 0 5 2 2 5 2 0 3 5 0 -> 2 1 2 0 5 2 0 1 0 5 2 2 2 5 0 3 5 0 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.21 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.21 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 19: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 32-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 1 3 3 5 4 0 1 0 4 0 4 3 5 4 4 1 4 0 0 1 -> 1 3 3 5 4 0 1 0 4 0 3 4 5 4 4 1 4 0 0 1 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.21 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.21 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 21: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 31-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 5 2 0 0 4 1 0 4 1 2 5 3 5 5 2 4 0 1 4 4 3 -> 5 2 0 0 1 4 0 4 1 2 3 5 5 5 2 4 1 0 4 4 3 , 38.61/10.21 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.21 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 22: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 30-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 0 1 4 2 5 3 2 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 -> 0 1 4 2 5 2 3 3 5 5 2 0 4 5 1 5 1 1 5 0 3 2 0 , 38.61/10.21 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 29-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 0 3 0 0 5 3 2 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 -> 0 3 0 0 5 2 3 0 1 3 5 2 1 4 4 2 3 2 4 4 2 0 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 28-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 2 4 3 4 2 4 3 5 0 3 3 5 5 3 0 0 0 3 1 4 2 3 4 -> 2 4 3 4 4 2 3 0 5 5 3 3 5 0 3 0 3 0 2 1 4 4 3 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 27-rule system 38.61/10.21 { 3 4 3 5 4 5 5 -> 3 4 3 4 5 5 5 , 38.61/10.21 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 8: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 1 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 5 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 1 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 38.61/10.21 Remains to prove termination of the 26-rule system 38.61/10.21 { 4 3 1 4 2 0 0 1 3 5 2 2 3 5 -> 4 3 1 4 0 0 2 1 3 5 2 2 3 5 , 38.61/10.21 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.21 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.21 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.21 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.21 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.21 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.21 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.21 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.21 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.21 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.21 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.21 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.21 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.21 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.21 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.21 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.21 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.21 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.21 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.21 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.21 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.21 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.21 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.21 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.21 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.21 38.61/10.21 38.61/10.21 The system was filtered by the following matrix interpretation 38.61/10.21 of type E_J with J = {1,...,2} and dimension 15: 38.61/10.21 38.61/10.21 0 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 1 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 2 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 3 is interpreted by 38.61/10.21 / \ 38.61/10.21 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.21 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.21 \ / 38.61/10.21 4 is interpreted by 38.61/10.21 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 25-rule system 38.61/10.22 { 3 4 3 2 3 4 1 2 4 3 3 3 1 2 1 -> 3 4 3 2 3 1 4 2 4 3 3 3 1 2 1 , 38.61/10.22 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.22 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.22 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.22 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 16: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 24-rule system 38.61/10.22 { 3 1 4 1 1 1 3 1 4 0 2 2 4 5 5 0 -> 3 1 4 1 1 1 1 3 4 0 2 2 4 5 5 0 , 38.61/10.22 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.22 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.22 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 17: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 23-rule system 38.61/10.22 { 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 3 5 0 2 0 0 0 5 2 2 0 2 0 0 3 1 3 4 -> 3 5 0 2 0 0 0 2 5 2 0 2 0 0 3 1 3 4 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.22 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.22 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 19: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 22-rule system 38.61/10.22 { 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 1 4 3 4 0 4 3 -> 5 2 3 5 4 1 2 0 1 5 3 3 5 3 3 5 4 1 3 4 0 4 3 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.22 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.22 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 21-rule system 38.61/10.22 { 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 4 3 5 5 5 1 1 3 4 1 0 0 0 2 0 2 4 4 3 3 0 0 1 2 1 -> 4 3 5 5 5 4 1 1 1 3 0 0 0 0 2 4 2 4 3 3 0 2 0 1 1 , 38.61/10.22 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.22 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 26: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 20-rule system 38.61/10.22 { 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 4 2 5 2 0 1 4 3 -> 5 2 4 5 5 2 4 5 2 2 1 2 1 1 5 3 4 2 4 2 5 1 0 4 3 , 38.61/10.22 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 26: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 19-rule system 38.61/10.22 { 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 0 4 2 4 4 3 1 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 -> 0 4 2 4 4 1 3 0 2 1 2 3 1 3 5 5 5 3 4 5 2 5 0 0 1 1 3 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 28: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 18-rule system 38.61/10.22 { 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 1 1 2 0 2 3 1 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 -> 3 1 1 2 0 2 1 3 4 4 3 2 3 2 5 0 2 4 3 3 3 4 0 0 3 5 1 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 28: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 17-rule system 38.61/10.22 { 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 4 1 2 2 1 1 4 3 3 4 1 1 2 1 5 1 1 2 1 5 3 1 5 2 3 1 0 -> 2 4 1 4 1 3 1 1 2 1 4 2 3 1 3 2 1 5 2 1 5 5 3 1 1 1 0 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 28: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 38.61/10.22 Remains to prove termination of the 16-rule system 38.61/10.22 { 3 5 5 1 5 0 5 2 2 2 4 4 3 3 2 3 2 -> 3 5 5 1 0 5 5 2 2 2 4 4 3 3 3 2 2 , 38.61/10.22 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.22 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.22 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.22 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.22 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.22 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.22 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.22 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.22 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.22 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.22 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.22 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.22 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.22 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.22 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.22 38.61/10.22 38.61/10.22 The system was filtered by the following matrix interpretation 38.61/10.22 of type E_J with J = {1,...,2} and dimension 18: 38.61/10.22 38.61/10.22 0 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 1 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 2 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 3 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 4 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 \ / 38.61/10.22 5 is interpreted by 38.61/10.22 / \ 38.61/10.22 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.22 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 15-rule system 38.61/10.23 { 5 5 1 2 5 2 4 5 2 4 4 1 5 5 5 4 2 -> 5 5 1 2 2 5 4 5 2 4 1 4 5 5 5 4 2 , 38.61/10.23 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.23 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.23 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.23 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.23 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.23 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.23 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.23 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 18: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 14-rule system 38.61/10.23 { 0 5 4 3 0 1 1 2 5 1 1 4 5 5 3 5 5 2 2 -> 0 5 4 3 0 1 1 5 2 1 1 4 5 5 3 5 5 2 2 , 38.61/10.23 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.23 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.23 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.23 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.23 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.23 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.23 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 20: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 13-rule system 38.61/10.23 { 3 3 3 3 1 3 0 3 2 5 0 5 4 5 1 1 2 1 2 -> 3 3 3 3 1 3 0 2 3 5 0 5 4 5 1 1 2 1 2 , 38.61/10.23 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.23 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.23 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.23 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.23 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.23 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 20: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 12-rule system 38.61/10.23 { 0 4 5 2 5 2 5 2 3 0 4 5 2 0 3 5 4 3 0 2 -> 0 5 4 2 2 5 5 4 2 3 0 2 0 5 3 4 5 0 3 2 , 38.61/10.23 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.23 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.23 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.23 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.23 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 21: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 11-rule system 38.61/10.23 { 3 2 4 2 1 4 1 2 4 0 5 0 1 4 5 4 2 1 5 5 1 -> 3 2 4 2 1 4 2 1 4 0 5 0 1 4 5 4 2 1 5 5 1 , 38.61/10.23 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.23 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.23 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.23 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 22: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 10-rule system 38.61/10.23 { 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 3 4 0 2 0 5 2 -> 2 1 1 1 2 0 2 0 4 4 4 1 1 1 3 2 4 3 0 2 0 5 2 , 38.61/10.23 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.23 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.23 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 9-rule system 38.61/10.23 { 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 3 5 0 5 1 2 -> 2 5 0 1 5 0 2 3 2 2 4 4 3 0 5 0 0 3 5 3 0 5 1 2 , 38.61/10.23 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.23 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 25: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 8-rule system 38.61/10.23 { 2 1 2 5 0 3 2 3 1 2 5 4 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 -> 2 1 2 5 0 3 2 3 1 2 4 5 0 0 0 3 1 1 1 0 1 0 0 3 5 0 5 , 38.61/10.23 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 28: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 7-rule system 38.61/10.23 { 3 2 4 3 1 3 5 4 3 1 1 0 0 5 1 4 0 3 3 5 5 5 1 5 2 1 5 -> 3 2 4 3 1 5 4 3 1 3 1 0 0 1 5 4 0 3 3 5 5 5 1 5 2 1 5 , 38.61/10.23 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 28: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 6-rule system 38.61/10.23 { 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 1 0 3 3 2 -> 3 4 1 2 0 4 3 1 4 3 5 4 3 5 2 1 1 3 5 1 0 2 0 1 3 3 2 , 38.61/10.23 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 28: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 3 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 4 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 5 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 38.61/10.23 Remains to prove termination of the 5-rule system 38.61/10.23 { 5 4 2 4 0 4 1 0 3 5 2 5 4 5 3 3 0 5 2 4 2 0 0 0 5 0 1 -> 5 4 2 4 0 4 1 0 3 5 2 4 5 5 3 3 0 5 2 4 2 0 0 0 5 0 1 , 38.61/10.23 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.23 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.23 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.23 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.23 38.61/10.23 38.61/10.23 The system was filtered by the following matrix interpretation 38.61/10.23 of type E_J with J = {1,...,2} and dimension 28: 38.61/10.23 38.61/10.23 0 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 1 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 \ / 38.61/10.23 2 is interpreted by 38.61/10.23 / \ 38.61/10.23 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.23 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 3 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 4 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 5 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 38.61/10.24 Remains to prove termination of the 4-rule system 38.61/10.24 { 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 4 1 2 5 1 5 2 -> 3 3 3 2 5 5 0 3 0 0 1 4 0 1 0 1 1 1 2 4 3 1 4 2 5 1 5 2 , 38.61/10.24 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.24 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.24 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.24 38.61/10.24 38.61/10.24 The system was filtered by the following matrix interpretation 38.61/10.24 of type E_J with J = {1,...,2} and dimension 29: 38.61/10.24 38.61/10.24 0 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 1 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 2 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 3 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 4 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 5 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 38.61/10.24 Remains to prove termination of the 3-rule system 38.61/10.24 { 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 5 0 3 1 5 5 2 0 -> 0 0 0 5 4 4 4 4 1 3 4 5 0 4 4 5 0 4 0 3 3 0 5 3 1 5 5 2 0 , 38.61/10.24 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.24 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.24 38.61/10.24 38.61/10.24 The system was filtered by the following matrix interpretation 38.61/10.24 of type E_J with J = {1,...,2} and dimension 30: 38.61/10.24 38.61/10.24 0 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 1 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 2 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 3 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 4 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 5 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 38.61/10.24 Remains to prove termination of the 2-rule system 38.61/10.24 { 2 1 2 3 1 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 -> 2 1 2 1 3 4 3 0 4 0 5 2 1 5 0 5 3 4 5 0 5 2 4 2 0 3 1 3 0 , 38.61/10.24 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.24 38.61/10.24 38.61/10.24 The system was filtered by the following matrix interpretation 38.61/10.24 of type E_J with J = {1,...,2} and dimension 30: 38.61/10.24 38.61/10.24 0 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 1 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 2 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 3 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 4 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 5 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 38.61/10.24 Remains to prove termination of the 1-rule system 38.61/10.24 { 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 4 0 0 5 3 4 5 4 2 5 5 2 0 2 -> 2 2 4 4 5 4 1 1 3 5 1 0 1 4 4 0 4 0 5 3 4 5 4 2 5 5 2 0 2 } 38.61/10.24 38.61/10.24 38.61/10.24 The system was filtered by the following matrix interpretation 38.61/10.24 of type E_J with J = {1,...,2} and dimension 30: 38.61/10.24 38.61/10.24 0 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 1 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 2 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 3 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 4 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 5 is interpreted by 38.61/10.24 / \ 38.61/10.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.24 \ / 38.61/10.24 38.61/10.24 Remains to prove termination of the 0-rule system 38.61/10.24 { } 38.61/10.24 38.61/10.24 38.61/10.24 The system is trivially terminating. 38.71/10.27 EOF