37.40/9.77 YES 38.61/10.13 38.61/10.13 38.61/10.13 38.61/10.13 38.61/10.13 The system was filtered by the following matrix interpretation 38.61/10.13 of type E_J with J = {1,...,2} and dimension 2: 38.61/10.13 38.61/10.13 0 is interpreted by 38.61/10.13 / \ 38.61/10.13 | 1 1 | 38.61/10.13 | 0 1 | 38.61/10.13 \ / 38.61/10.13 1 is interpreted by 38.61/10.13 / \ 38.61/10.13 | 1 1 | 38.61/10.13 | 0 1 | 38.61/10.13 \ / 38.61/10.13 2 is interpreted by 38.61/10.13 / \ 38.61/10.13 | 1 1 | 38.61/10.13 | 0 1 | 38.61/10.13 \ / 38.61/10.13 3 is interpreted by 38.61/10.13 / \ 38.61/10.13 | 1 1 | 38.61/10.13 | 0 1 | 38.61/10.13 \ / 38.61/10.13 4 is interpreted by 38.61/10.13 / \ 38.61/10.13 | 1 1 | 38.61/10.13 | 0 1 | 38.61/10.13 \ / 38.61/10.13 5 is interpreted by 38.61/10.13 / \ 38.61/10.13 | 1 1 | 38.61/10.13 | 0 1 | 38.61/10.13 \ / 38.61/10.13 38.61/10.13 Remains to prove termination of the 50-rule system 38.61/10.13 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.13 3 3 4 5 1 2 4 2 -> 3 2 1 5 3 4 4 2 , 38.61/10.13 0 1 5 2 4 5 3 0 1 -> 0 1 5 4 2 5 3 0 1 , 38.61/10.13 1 0 0 4 1 3 2 4 3 -> 1 0 0 4 3 1 2 4 3 , 38.61/10.13 3 3 0 3 0 3 4 4 4 -> 3 3 3 0 0 3 4 4 4 , 38.61/10.13 5 1 2 0 1 1 5 5 4 -> 5 1 2 1 0 1 5 5 4 , 38.61/10.13 1 0 2 5 5 0 5 0 0 1 -> 5 3 0 4 3 4 1 4 3 5 , 38.61/10.13 1 3 5 0 5 2 3 0 5 1 -> 3 1 2 4 5 4 2 4 4 0 , 38.61/10.13 2 0 3 0 1 2 0 2 3 5 -> 2 0 0 3 1 2 0 2 3 5 , 38.61/10.13 2 5 3 2 3 2 2 1 0 5 -> 2 5 2 0 3 1 2 4 4 4 , 38.61/10.13 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.13 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.13 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 2: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 1 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 48-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 3 3 4 5 1 2 4 2 -> 3 2 1 5 3 4 4 2 , 38.61/10.14 0 1 5 2 4 5 3 0 1 -> 0 1 5 4 2 5 3 0 1 , 38.61/10.14 1 0 0 4 1 3 2 4 3 -> 1 0 0 4 3 1 2 4 3 , 38.61/10.14 3 3 0 3 0 3 4 4 4 -> 3 3 3 0 0 3 4 4 4 , 38.61/10.14 5 1 2 0 1 1 5 5 4 -> 5 1 2 1 0 1 5 5 4 , 38.61/10.14 2 0 3 0 1 2 0 2 3 5 -> 2 0 0 3 1 2 0 2 3 5 , 38.61/10.14 2 5 3 2 3 2 2 1 0 5 -> 2 5 2 0 3 1 2 4 4 4 , 38.61/10.14 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 2: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 1 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 | 38.61/10.14 | 0 1 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 47-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 3 3 4 5 1 2 4 2 -> 3 2 1 5 3 4 4 2 , 38.61/10.14 0 1 5 2 4 5 3 0 1 -> 0 1 5 4 2 5 3 0 1 , 38.61/10.14 1 0 0 4 1 3 2 4 3 -> 1 0 0 4 3 1 2 4 3 , 38.61/10.14 3 3 0 3 0 3 4 4 4 -> 3 3 3 0 0 3 4 4 4 , 38.61/10.14 5 1 2 0 1 1 5 5 4 -> 5 1 2 1 0 1 5 5 4 , 38.61/10.14 2 0 3 0 1 2 0 2 3 5 -> 2 0 0 3 1 2 0 2 3 5 , 38.61/10.14 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 9: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 46-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 0 1 5 2 4 5 3 0 1 -> 0 1 5 4 2 5 3 0 1 , 38.61/10.14 1 0 0 4 1 3 2 4 3 -> 1 0 0 4 3 1 2 4 3 , 38.61/10.14 3 3 0 3 0 3 4 4 4 -> 3 3 3 0 0 3 4 4 4 , 38.61/10.14 5 1 2 0 1 1 5 5 4 -> 5 1 2 1 0 1 5 5 4 , 38.61/10.14 2 0 3 0 1 2 0 2 3 5 -> 2 0 0 3 1 2 0 2 3 5 , 38.61/10.14 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 10: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 45-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 1 0 0 4 1 3 2 4 3 -> 1 0 0 4 3 1 2 4 3 , 38.61/10.14 3 3 0 3 0 3 4 4 4 -> 3 3 3 0 0 3 4 4 4 , 38.61/10.14 5 1 2 0 1 1 5 5 4 -> 5 1 2 1 0 1 5 5 4 , 38.61/10.14 2 0 3 0 1 2 0 2 3 5 -> 2 0 0 3 1 2 0 2 3 5 , 38.61/10.14 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 10: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 44-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 3 3 0 3 0 3 4 4 4 -> 3 3 3 0 0 3 4 4 4 , 38.61/10.14 5 1 2 0 1 1 5 5 4 -> 5 1 2 1 0 1 5 5 4 , 38.61/10.14 2 0 3 0 1 2 0 2 3 5 -> 2 0 0 3 1 2 0 2 3 5 , 38.61/10.14 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 10: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 43-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 5 1 2 0 1 1 5 5 4 -> 5 1 2 1 0 1 5 5 4 , 38.61/10.14 2 0 3 0 1 2 0 2 3 5 -> 2 0 0 3 1 2 0 2 3 5 , 38.61/10.14 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 10: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 42-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 2 0 3 0 1 2 0 2 3 5 -> 2 0 0 3 1 2 0 2 3 5 , 38.61/10.14 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 11: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 41-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 5 3 3 5 5 2 0 0 2 0 2 2 -> 5 3 3 5 2 5 0 0 2 0 2 2 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 13: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 40-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 5 3 5 4 5 1 3 2 0 2 0 1 -> 5 1 5 3 2 3 2 5 4 0 0 1 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 13: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 39-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 5 5 3 2 4 0 5 3 2 2 5 5 1 -> 5 5 3 2 4 0 5 2 3 2 5 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 14: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 38-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 3 2 0 5 2 4 4 2 3 1 5 5 1 5 -> 3 2 0 5 2 4 2 4 3 1 5 5 1 5 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 15: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 37-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 4 0 1 1 4 2 3 0 1 3 2 2 1 0 -> 4 0 1 1 4 2 3 1 0 3 2 2 1 0 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 15: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 36-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 0 0 3 1 3 4 5 0 3 4 1 2 1 2 1 -> 0 0 3 1 3 4 5 0 4 3 1 2 1 2 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 16: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 1 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 2 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 3 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 4 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 5 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 \ / 38.61/10.14 38.61/10.14 Remains to prove termination of the 35-rule system 38.61/10.14 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.14 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.14 2 0 5 3 1 4 5 1 4 5 4 4 0 4 5 -> 2 3 1 4 5 4 0 5 5 4 4 4 1 0 5 , 38.61/10.14 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.14 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.14 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.14 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.14 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.14 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.14 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.14 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.14 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.14 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.14 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.14 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.14 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.14 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.14 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.14 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.14 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.14 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.14 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.14 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.14 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.14 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.14 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.14 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.14 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.14 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.14 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.14 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.14 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.14 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.14 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.14 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.14 38.61/10.14 38.61/10.14 The system was filtered by the following matrix interpretation 38.61/10.14 of type E_J with J = {1,...,2} and dimension 16: 38.61/10.14 38.61/10.14 0 is interpreted by 38.61/10.14 / \ 38.61/10.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 34-rule system 38.61/10.15 { 0 1 1 2 2 2 3 -> 0 1 2 1 2 2 3 , 38.61/10.15 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.15 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.15 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.15 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.15 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.15 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 8: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 33-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 2 5 2 3 0 3 1 4 1 4 5 2 0 4 3 -> 2 5 2 3 0 3 1 4 1 4 5 0 2 4 3 , 38.61/10.15 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.15 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.15 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.15 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.15 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 16: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 32-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 5 5 5 1 4 1 0 1 2 1 1 4 4 1 4 -> 5 5 5 1 4 1 0 1 1 2 1 4 4 1 4 , 38.61/10.15 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.15 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.15 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.15 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 16: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 31-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 1 2 4 0 0 0 1 1 5 5 2 5 2 2 0 1 -> 1 2 4 0 0 0 1 5 1 5 2 5 2 2 0 1 , 38.61/10.15 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.15 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.15 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 17: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 30-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 5 4 2 1 1 5 5 0 5 5 5 1 1 0 1 3 -> 5 4 2 1 1 5 5 5 0 5 5 1 1 0 1 3 , 38.61/10.15 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.15 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 17: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 29-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 2 3 3 4 0 1 4 3 3 5 1 4 5 3 2 5 3 -> 2 3 4 3 0 1 4 3 3 5 1 4 3 5 2 5 3 , 38.61/10.15 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 18: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 28-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 2 5 4 2 2 0 2 4 0 4 4 4 4 0 1 2 1 2 -> 2 5 4 2 2 0 2 4 0 4 4 4 4 1 0 2 1 2 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 19: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 27-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 3 4 3 2 5 4 1 3 5 2 1 2 1 0 5 4 1 2 3 -> 5 3 4 3 2 5 4 1 5 3 2 1 2 1 0 5 4 1 2 3 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 21: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 26-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 1 0 4 1 4 1 2 1 5 1 3 3 0 4 0 4 3 3 2 4 5 -> 1 0 4 1 4 1 2 1 1 5 3 3 0 4 0 4 3 3 2 4 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 22: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 25-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 5 1 3 4 0 4 2 0 3 5 1 2 5 5 4 3 4 4 5 1 2 -> 5 1 3 4 0 4 2 0 3 1 5 2 5 5 4 3 4 4 5 1 2 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 22: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 24-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 4 0 1 4 3 0 0 0 0 2 4 3 2 1 4 4 1 5 1 4 4 2 -> 4 0 1 4 3 0 0 0 0 2 4 2 3 1 4 4 1 5 1 4 4 2 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.15 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.15 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.15 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.15 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.15 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.15 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.15 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.15 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.15 38.61/10.15 38.61/10.15 The system was filtered by the following matrix interpretation 38.61/10.15 of type E_J with J = {1,...,2} and dimension 23: 38.61/10.15 38.61/10.15 0 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 1 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 2 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 3 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 4 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 5 is interpreted by 38.61/10.15 / \ 38.61/10.15 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.15 \ / 38.61/10.15 38.61/10.15 Remains to prove termination of the 23-rule system 38.61/10.15 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.15 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.15 4 3 2 0 2 5 2 2 3 2 4 2 4 5 5 2 3 4 0 3 2 2 -> 4 3 2 0 2 5 2 2 3 2 4 2 4 5 2 5 3 4 0 3 2 2 , 38.61/10.15 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.15 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.15 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.15 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.15 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.15 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.15 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.15 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.15 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.15 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.15 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.15 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 23: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 22-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 0 1 3 5 0 1 -> 5 5 2 1 3 3 0 3 1 4 4 3 0 2 2 2 1 0 3 5 0 1 , 38.61/10.16 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.16 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.16 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.16 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.16 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.16 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.16 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 23: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 21-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 0 4 5 5 2 1 4 3 1 0 3 1 0 5 5 0 4 4 3 0 0 1 5 -> 0 4 5 5 2 1 4 3 1 3 0 0 1 5 5 0 4 3 4 0 0 1 5 , 38.61/10.16 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.16 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.16 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.16 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.16 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.16 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 20-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 1 0 1 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 -> 1 1 0 0 4 0 2 0 5 0 2 2 0 5 4 1 4 0 1 1 2 1 4 , 38.61/10.16 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.16 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.16 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.16 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.16 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 19-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 2 3 4 2 2 3 4 4 1 2 4 5 3 3 0 0 1 0 5 4 5 5 0 -> 2 3 4 2 2 3 4 4 1 2 5 4 3 3 0 0 1 0 5 4 5 5 0 , 38.61/10.16 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.16 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.16 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.16 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 18-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 4 4 4 1 0 2 1 2 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 -> 4 4 4 1 0 2 2 1 2 2 3 3 1 1 3 2 1 3 3 3 3 4 0 , 38.61/10.16 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.16 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.16 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 17-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 5 1 1 1 0 2 3 1 2 5 5 1 0 2 3 5 3 1 2 4 0 5 5 -> 5 1 1 1 0 2 3 1 2 5 5 1 0 2 5 3 3 1 2 4 0 5 5 , 38.61/10.16 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.16 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 16-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 5 2 0 2 4 2 -> 5 3 3 5 5 4 1 4 5 0 3 5 2 2 3 0 1 2 5 0 2 4 2 , 38.61/10.16 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 15-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 5 4 1 4 1 2 3 3 2 5 2 3 2 3 0 0 3 3 0 1 0 3 4 -> 5 4 1 1 4 2 3 3 2 2 5 2 3 3 0 0 3 3 0 0 3 1 4 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 24: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 14-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 0 3 4 0 2 5 5 1 4 2 3 1 1 4 5 1 0 2 3 0 5 3 3 0 1 -> 0 3 0 2 4 5 5 3 1 4 2 5 1 1 4 2 1 0 0 5 3 0 3 3 1 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 26: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 1 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 \ / 38.61/10.16 2 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 3 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 4 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 5 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 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 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 \ / 38.61/10.16 38.61/10.16 Remains to prove termination of the 13-rule system 38.61/10.16 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.16 3 1 0 4 3 5 1 2 1 5 1 5 5 2 3 1 4 5 -> 3 1 5 4 1 0 2 5 5 4 3 2 1 3 5 1 1 5 , 38.61/10.16 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.16 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.16 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.16 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.16 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.16 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.16 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.16 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.16 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.16 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.16 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.16 38.61/10.16 38.61/10.16 The system was filtered by the following matrix interpretation 38.61/10.16 of type E_J with J = {1,...,2} and dimension 19: 38.61/10.16 38.61/10.16 0 is interpreted by 38.61/10.16 / \ 38.61/10.16 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.16 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 12-rule system 38.61/10.17 { 1 5 1 2 2 4 4 5 1 1 3 5 1 -> 1 5 2 1 2 4 4 5 1 1 3 5 1 , 38.61/10.17 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.17 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.17 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.17 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.17 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.17 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.17 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.17 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 14: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 11-rule system 38.61/10.17 { 3 0 2 4 5 4 4 2 5 1 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 -> 3 0 2 4 5 4 4 2 1 5 0 4 1 5 1 3 1 3 0 4 3 5 0 4 4 , 38.61/10.17 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.17 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.17 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.17 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.17 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.17 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.17 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 26: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 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 | 38.61/10.17 | 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 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 10-rule system 38.61/10.17 { 4 0 2 2 5 4 4 1 2 0 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 -> 4 0 2 2 5 4 4 1 0 2 4 0 0 1 4 2 2 3 1 3 5 3 4 3 4 , 38.61/10.17 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.17 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.17 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.17 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.17 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.17 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 26: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 9-rule system 38.61/10.17 { 1 5 3 4 4 2 5 1 5 5 4 1 2 0 3 3 1 4 2 3 0 4 5 0 5 5 -> 1 5 3 4 4 2 5 1 5 5 4 1 0 2 3 3 1 4 2 3 0 4 5 0 5 5 , 38.61/10.17 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.17 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.17 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.17 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.17 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 27: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 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 | 38.61/10.17 | 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 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 8-rule system 38.61/10.17 { 3 4 4 2 5 4 0 3 5 2 2 0 5 4 3 0 4 4 4 0 2 5 1 0 2 1 -> 3 4 4 2 5 4 0 3 5 2 2 0 5 4 0 3 4 4 4 0 2 5 1 0 2 1 , 38.61/10.17 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.17 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.17 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.17 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 27: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 7-rule system 38.61/10.17 { 3 4 4 4 5 4 1 3 0 0 1 4 1 3 4 0 2 0 4 2 3 2 4 3 3 3 -> 3 4 4 4 5 4 1 3 0 0 1 4 3 1 4 0 2 0 4 2 3 2 4 3 3 3 , 38.61/10.17 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.17 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.17 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 27: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 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 | 38.61/10.17 | 0 0 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 | 38.61/10.17 | 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 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 6-rule system 38.61/10.17 { 4 2 1 4 2 3 2 2 3 0 3 0 0 5 3 4 4 3 3 1 0 1 5 2 2 2 -> 4 2 1 4 2 3 2 2 3 0 3 0 0 3 5 4 4 3 3 1 0 1 5 2 2 2 , 38.61/10.17 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.17 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 27: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 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 | 38.61/10.17 | 0 0 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 | 38.61/10.17 | 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 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 5-rule system 38.61/10.17 { 4 0 5 1 3 5 2 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 -> 4 0 5 1 3 2 5 2 1 3 5 4 1 4 0 0 3 1 1 3 3 2 4 4 5 1 2 , 38.61/10.17 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 28: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 4-rule system 38.61/10.17 { 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 5 1 2 1 3 2 0 5 -> 4 5 4 0 1 0 0 4 3 5 5 4 2 4 4 5 1 2 2 0 1 5 2 1 3 2 0 5 , 38.61/10.17 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 29: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 3 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 4 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 5 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 \ / 38.61/10.17 38.61/10.17 Remains to prove termination of the 3-rule system 38.61/10.17 { 0 0 3 3 1 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 -> 0 0 3 1 3 0 5 4 2 0 3 3 2 3 2 3 1 2 2 1 1 4 3 1 3 0 3 1 4 , 38.61/10.17 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.17 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.17 38.61/10.17 38.61/10.17 The system was filtered by the following matrix interpretation 38.61/10.17 of type E_J with J = {1,...,2} and dimension 30: 38.61/10.17 38.61/10.17 0 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 1 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 \ / 38.61/10.17 2 is interpreted by 38.61/10.17 / \ 38.61/10.17 | 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 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 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 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.17 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 3 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 4 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 \ / 38.61/10.18 5 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 38.61/10.18 Remains to prove termination of the 2-rule system 38.61/10.18 { 0 3 4 0 0 0 5 5 3 5 5 3 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 -> 0 3 4 0 0 0 5 5 3 5 3 5 5 3 5 3 1 5 1 4 1 2 3 1 0 4 5 4 0 , 38.61/10.18 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.18 38.61/10.18 38.61/10.18 The system was filtered by the following matrix interpretation 38.61/10.18 of type E_J with J = {1,...,2} and dimension 30: 38.61/10.18 38.61/10.18 0 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 \ / 38.61/10.18 1 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 2 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 3 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 4 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 5 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 38.61/10.18 Remains to prove termination of the 1-rule system 38.61/10.18 { 2 4 0 2 3 4 3 3 5 5 1 2 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 -> 2 4 0 2 3 4 3 3 5 5 2 1 3 5 3 2 2 0 5 4 0 2 2 4 3 0 4 2 0 5 } 38.61/10.18 38.61/10.18 38.61/10.18 The system was filtered by the following matrix interpretation 38.61/10.18 of type E_J with J = {1,...,2} and dimension 31: 38.61/10.18 38.61/10.18 0 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 1 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 2 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 3 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 4 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 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 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 \ / 38.61/10.18 5 is interpreted by 38.61/10.18 / \ 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 38.61/10.18 | 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 0 | 38.61/10.18 \ / 38.61/10.18 38.61/10.18 Remains to prove termination of the 0-rule system 38.61/10.18 { } 38.61/10.18 38.61/10.18 38.61/10.18 The system is trivially terminating. 38.66/10.22 EOF