39.73/10.40 YES 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 2: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 54-rule system 41.23/10.80 { 0 0 1 0 2 3 4 -> 0 0 1 2 0 3 4 , 41.23/10.80 1 3 0 4 2 4 3 -> 1 3 2 0 4 4 3 , 41.23/10.80 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 5 3 1 3 5 5 2 5 -> 5 3 1 5 3 5 2 5 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 0 0 1 4 4 0 5 3 4 0 -> 0 0 1 0 4 4 5 3 4 0 , 41.23/10.80 0 0 3 5 2 3 0 1 1 1 -> 0 2 4 0 3 4 2 4 4 2 , 41.23/10.80 1 0 0 2 1 0 3 5 2 1 -> 1 2 5 5 3 4 0 4 4 4 , 41.23/10.80 1 2 2 0 1 2 5 0 1 3 -> 1 0 4 2 1 0 2 5 0 4 , 41.23/10.80 2 2 2 5 2 5 5 1 1 5 -> 4 4 4 5 4 5 4 3 0 5 , 41.23/10.80 2 3 0 3 5 2 5 2 1 2 -> 5 4 0 4 5 5 4 1 4 3 , 41.23/10.80 3 2 2 0 2 2 5 2 3 4 -> 0 5 2 4 4 5 3 1 4 1 , 41.23/10.80 3 2 4 3 1 4 5 5 2 5 -> 3 4 0 2 0 0 0 1 1 5 , 41.23/10.80 5 2 2 0 2 3 1 1 0 4 -> 5 2 0 0 0 3 4 0 0 4 , 41.23/10.80 5 3 4 2 0 2 5 5 1 0 -> 5 1 0 4 0 4 0 1 5 3 , 41.23/10.80 1 2 4 5 3 5 1 0 4 2 5 -> 1 2 5 4 3 5 1 0 4 2 5 , 41.23/10.80 1 5 1 2 5 3 3 1 2 1 1 -> 1 5 2 1 5 3 3 1 2 1 1 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 2: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 46-rule system 41.23/10.80 { 0 0 1 0 2 3 4 -> 0 0 1 2 0 3 4 , 41.23/10.80 1 3 0 4 2 4 3 -> 1 3 2 0 4 4 3 , 41.23/10.80 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 5 3 1 3 5 5 2 5 -> 5 3 1 5 3 5 2 5 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 0 0 1 4 4 0 5 3 4 0 -> 0 0 1 0 4 4 5 3 4 0 , 41.23/10.80 3 2 4 3 1 4 5 5 2 5 -> 3 4 0 2 0 0 0 1 1 5 , 41.23/10.80 1 2 4 5 3 5 1 0 4 2 5 -> 1 2 5 4 3 5 1 0 4 2 5 , 41.23/10.80 1 5 1 2 5 3 3 1 2 1 1 -> 1 5 2 1 5 3 3 1 2 1 1 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 2: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 1 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 | 41.23/10.80 | 0 1 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 45-rule system 41.23/10.80 { 0 0 1 0 2 3 4 -> 0 0 1 2 0 3 4 , 41.23/10.80 1 3 0 4 2 4 3 -> 1 3 2 0 4 4 3 , 41.23/10.80 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 5 3 1 3 5 5 2 5 -> 5 3 1 5 3 5 2 5 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 0 0 1 4 4 0 5 3 4 0 -> 0 0 1 0 4 4 5 3 4 0 , 41.23/10.80 1 2 4 5 3 5 1 0 4 2 5 -> 1 2 5 4 3 5 1 0 4 2 5 , 41.23/10.80 1 5 1 2 5 3 3 1 2 1 1 -> 1 5 2 1 5 3 3 1 2 1 1 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 8: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 44-rule system 41.23/10.80 { 1 3 0 4 2 4 3 -> 1 3 2 0 4 4 3 , 41.23/10.80 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 5 3 1 3 5 5 2 5 -> 5 3 1 5 3 5 2 5 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 0 0 1 4 4 0 5 3 4 0 -> 0 0 1 0 4 4 5 3 4 0 , 41.23/10.80 1 2 4 5 3 5 1 0 4 2 5 -> 1 2 5 4 3 5 1 0 4 2 5 , 41.23/10.80 1 5 1 2 5 3 3 1 2 1 1 -> 1 5 2 1 5 3 3 1 2 1 1 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 8: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 43-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 5 3 1 3 5 5 2 5 -> 5 3 1 5 3 5 2 5 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 0 0 1 4 4 0 5 3 4 0 -> 0 0 1 0 4 4 5 3 4 0 , 41.23/10.80 1 2 4 5 3 5 1 0 4 2 5 -> 1 2 5 4 3 5 1 0 4 2 5 , 41.23/10.80 1 5 1 2 5 3 3 1 2 1 1 -> 1 5 2 1 5 3 3 1 2 1 1 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 9: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 42-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 0 0 1 4 4 0 5 3 4 0 -> 0 0 1 0 4 4 5 3 4 0 , 41.23/10.80 1 2 4 5 3 5 1 0 4 2 5 -> 1 2 5 4 3 5 1 0 4 2 5 , 41.23/10.80 1 5 1 2 5 3 3 1 2 1 1 -> 1 5 2 1 5 3 3 1 2 1 1 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 11: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 41-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 1 2 4 5 3 5 1 0 4 2 5 -> 1 2 5 4 3 5 1 0 4 2 5 , 41.23/10.80 1 5 1 2 5 3 3 1 2 1 1 -> 1 5 2 1 5 3 3 1 2 1 1 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 12: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 40-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 1 5 1 2 5 3 3 1 2 1 1 -> 1 5 2 1 5 3 3 1 2 1 1 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 12: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 39-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 5 4 0 4 2 2 4 1 1 1 4 -> 5 4 0 4 4 2 1 2 1 1 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 12: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 38-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 0 0 2 5 5 5 3 0 3 1 2 4 5 -> 0 2 0 5 0 3 5 2 4 1 5 3 5 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 14: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 37-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 0 0 2 3 2 3 0 5 1 2 0 1 2 0 -> 0 0 2 2 3 3 0 5 1 2 0 1 2 0 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 15: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 36-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 0 3 2 0 5 0 4 4 3 5 2 2 0 2 2 4 -> 0 3 2 0 5 0 4 4 3 2 5 2 0 2 2 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 17: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 35-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 3 5 4 4 1 0 3 2 2 0 3 0 0 2 3 2 -> 3 5 4 4 3 1 2 0 2 0 0 0 3 3 2 2 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 17: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 3 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 4 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 5 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 41.23/10.80 Remains to prove termination of the 34-rule system 41.23/10.80 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.80 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.80 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.80 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.80 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.80 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.80 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.80 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.80 5 0 0 1 0 0 3 5 4 4 1 3 3 2 3 3 3 2 -> 5 0 0 1 0 0 3 5 4 1 4 3 3 2 3 3 3 2 , 41.23/10.80 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.80 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.80 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.80 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.80 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.80 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.80 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.80 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.80 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.80 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.80 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.80 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.80 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.80 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.80 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.80 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.80 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.80 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.80 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.80 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.80 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.80 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.80 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.80 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.80 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.80 41.23/10.80 41.23/10.80 The system was filtered by the following matrix interpretation 41.23/10.80 of type E_J with J = {1,...,2} and dimension 19: 41.23/10.80 41.23/10.80 0 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 1 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 \ / 41.23/10.80 2 is interpreted by 41.23/10.80 / \ 41.23/10.80 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.80 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 33-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 0 0 5 1 5 0 2 3 3 1 2 1 5 5 1 3 2 -> 5 0 0 5 1 0 5 2 3 3 1 2 1 5 5 1 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.81 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.81 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.81 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.81 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 19: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 32-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 0 4 3 3 5 5 4 5 1 2 3 1 1 2 4 0 1 5 0 1 0 2 4 -> 0 4 3 3 5 5 4 5 1 2 3 1 2 1 4 0 1 5 1 0 0 2 4 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.81 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.81 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.81 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.81 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 24: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 31-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 3 3 0 4 2 1 0 5 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 -> 3 3 0 4 2 1 5 0 4 2 3 4 5 2 3 2 5 3 4 1 4 3 2 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.81 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.81 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.81 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.81 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 24: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 30-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 5 0 0 5 0 1 1 4 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 -> 5 0 0 5 0 1 4 1 4 4 4 1 2 4 3 1 0 4 3 4 0 3 2 , 41.23/10.81 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.81 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.81 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.81 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 24: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 29-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 0 0 4 4 3 0 4 1 3 2 3 0 4 0 4 4 5 2 2 3 3 3 4 3 -> 0 0 4 4 3 0 4 1 2 3 3 4 0 0 4 4 3 5 2 2 3 3 4 3 , 41.23/10.81 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.81 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.81 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 25: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 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 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 28-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 0 2 3 4 5 1 4 2 4 0 5 5 0 2 2 0 1 1 1 4 5 5 4 1 -> 0 2 3 4 5 1 4 2 4 5 0 5 0 2 2 0 1 1 1 4 5 5 4 1 , 41.23/10.81 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.81 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 25: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 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 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 27-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 3 2 2 2 3 2 3 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 -> 3 2 2 2 3 3 2 3 1 4 1 0 4 3 3 5 5 3 1 0 3 0 1 5 , 41.23/10.81 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 25: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 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 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 26-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 4 2 4 2 1 2 3 0 0 -> 5 5 2 0 0 3 1 1 0 4 0 1 3 1 2 3 2 4 4 2 1 2 3 0 0 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 26: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 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 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 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 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 41.23/10.81 Remains to prove termination of the 25-rule system 41.23/10.81 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.81 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.81 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.81 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.81 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.81 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.81 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.81 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.81 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.81 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.81 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.81 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.81 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.81 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.81 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.81 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.81 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.81 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.81 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 3 5 5 4 3 5 2 3 5 5 1 5 5 4 -> 0 1 3 4 5 4 4 1 1 3 5 0 3 1 4 5 3 5 4 3 5 2 3 5 5 1 5 5 4 , 41.23/10.81 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.81 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.81 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.81 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.81 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.81 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.81 41.23/10.81 41.23/10.81 The system was filtered by the following matrix interpretation 41.23/10.81 of type E_J with J = {1,...,2} and dimension 30: 41.23/10.81 41.23/10.81 0 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 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 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 1 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 2 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 3 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 4 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 \ / 41.23/10.81 5 is interpreted by 41.23/10.81 / \ 41.23/10.81 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 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 | 41.23/10.81 | 0 0 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 | 41.23/10.81 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.81 | 0 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 24-rule system 41.23/10.82 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.82 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.82 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.82 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.82 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.82 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.82 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 0 1 4 5 5 5 2 3 3 4 5 1 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 -> 0 1 4 5 5 2 5 3 3 4 1 5 4 5 0 0 2 2 1 2 3 3 1 2 3 2 1 0 4 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.82 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 30: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 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 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 23-rule system 41.23/10.82 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.82 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.82 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.82 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.82 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.82 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.82 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 , 41.23/10.82 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 0 3 1 3 2 -> 5 5 3 1 1 4 5 3 0 0 0 1 4 5 4 2 4 2 0 2 5 3 2 1 1 3 0 1 3 2 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 31: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 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 | 41.23/10.82 | 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 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 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 22-rule system 41.23/10.82 { 2 2 1 0 4 2 2 -> 2 2 0 1 4 2 2 , 41.23/10.82 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.82 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.82 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.82 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.82 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.82 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 8: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 21-rule system 41.23/10.82 { 2 5 5 4 0 3 2 -> 2 5 5 0 4 3 2 , 41.23/10.82 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.82 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.82 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.82 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.82 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 8: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 20-rule system 41.23/10.82 { 2 5 2 0 2 3 0 4 -> 2 5 2 0 2 0 3 4 , 41.23/10.82 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.82 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.82 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.82 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 9: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 19-rule system 41.23/10.82 { 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.82 2 1 2 1 5 3 5 3 4 2 4 -> 2 1 5 2 3 1 3 5 2 4 4 , 41.23/10.82 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.82 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 12: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 18-rule system 41.23/10.82 { 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.82 5 2 2 5 4 4 0 2 3 2 2 -> 5 2 2 2 2 2 0 4 5 3 4 , 41.23/10.82 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 12: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 17-rule system 41.23/10.82 { 4 4 3 4 4 1 3 2 2 -> 4 4 4 3 4 1 3 2 2 , 41.23/10.82 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 10: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 16-rule system 41.23/10.82 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 5 3 4 1 2 2 4 0 3 3 3 4 4 5 3 5 1 1 1 4 -> 5 3 4 1 2 2 0 4 3 3 3 4 4 5 3 5 1 1 1 4 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 21: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 15-rule system 41.23/10.82 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 3 4 1 5 5 5 2 4 1 5 0 2 2 0 5 4 3 4 5 4 2 0 -> 3 4 1 5 5 5 4 2 1 5 0 2 2 0 5 4 3 4 5 4 2 0 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 23: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 14-rule system 41.23/10.82 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 4 3 5 1 5 2 0 3 0 3 5 4 0 3 3 2 5 5 5 1 3 2 -> 4 3 5 1 5 2 0 3 0 3 4 5 0 3 3 2 5 5 5 1 3 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 23: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 13-rule system 41.23/10.82 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 4 1 4 4 4 1 1 0 4 1 4 4 4 5 0 5 5 5 5 3 3 4 3 -> 4 1 4 4 4 1 1 0 4 4 1 4 4 5 0 5 5 5 5 3 3 4 3 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 24: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 3 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 4 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 5 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 41.23/10.82 Remains to prove termination of the 12-rule system 41.23/10.82 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.82 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.82 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.82 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.82 3 4 2 3 3 5 2 5 0 5 5 4 0 4 0 2 0 4 3 0 5 5 5 5 3 2 -> 3 4 2 3 3 5 5 2 0 5 5 4 0 4 0 2 0 4 3 5 0 5 5 3 5 2 , 41.23/10.82 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.82 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.82 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.82 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.82 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.82 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.82 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.82 41.23/10.82 41.23/10.82 The system was filtered by the following matrix interpretation 41.23/10.82 of type E_J with J = {1,...,2} and dimension 27: 41.23/10.82 41.23/10.82 0 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 1 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 \ / 41.23/10.82 2 is interpreted by 41.23/10.82 / \ 41.23/10.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 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 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 11-rule system 41.23/10.83 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.83 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.83 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.83 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.83 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.83 4 5 4 3 4 0 2 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 -> 4 5 4 3 4 2 0 3 4 4 5 4 2 3 3 0 3 1 3 5 3 2 1 0 0 4 2 2 , 41.23/10.83 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.83 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.83 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 29: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 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 | 41.23/10.83 | 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 10-rule system 41.23/10.83 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.83 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.83 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.83 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.83 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.83 5 3 5 2 5 2 2 0 4 4 2 3 5 1 3 1 0 2 4 4 0 0 2 4 2 3 0 1 -> 5 5 2 3 2 5 2 0 4 4 3 5 2 1 1 3 0 4 2 4 0 0 2 2 4 3 0 1 , 41.23/10.83 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.83 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 29: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 9-rule system 41.23/10.83 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.83 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.83 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 3 1 2 4 5 5 2 -> 3 3 1 0 3 1 0 4 5 3 4 3 4 3 5 1 3 2 4 5 5 2 , 41.23/10.83 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.83 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.83 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.83 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 23: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 8-rule system 41.23/10.83 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.83 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.83 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.83 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.83 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 , 41.23/10.83 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 4 1 3 1 4 4 4 3 0 4 -> 5 3 4 0 5 2 5 5 1 2 2 2 4 4 2 0 0 4 5 3 1 4 3 1 4 4 4 3 0 4 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 31: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 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 | 41.23/10.83 | 0 0 0 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 | 41.23/10.83 | 0 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 7-rule system 41.23/10.83 { 2 2 3 3 5 3 2 5 1 0 4 4 5 3 2 5 3 -> 2 2 3 3 2 5 3 5 0 1 5 3 3 4 5 4 2 , 41.23/10.83 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.83 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.83 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.83 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 18: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 6-rule system 41.23/10.83 { 2 4 4 2 5 5 3 2 1 1 2 3 4 3 0 2 3 2 -> 2 4 4 2 3 5 5 2 1 3 1 2 3 4 0 2 3 2 , 41.23/10.83 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.83 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.83 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 19: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 5-rule system 41.23/10.83 { 2 1 0 1 3 5 2 1 0 5 1 4 5 1 2 2 0 2 2 5 1 3 1 -> 2 1 0 1 3 5 2 1 0 5 4 1 5 1 2 2 0 2 2 5 1 3 1 , 41.23/10.83 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.83 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 24: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 4-rule system 41.23/10.83 { 2 0 0 5 2 4 2 3 4 2 2 2 1 2 2 3 1 2 4 4 5 2 2 1 4 2 0 -> 2 0 0 5 2 4 2 3 4 2 2 2 2 1 2 3 1 2 4 4 5 2 2 1 4 2 0 , 41.23/10.83 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 28: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 3-rule system 41.23/10.83 { 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 2 3 0 3 0 0 0 2 2 3 2 2 -> 2 0 1 4 4 3 4 0 2 3 2 2 5 2 2 2 4 3 2 0 3 0 0 0 2 2 3 2 2 , 41.23/10.83 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 30: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 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 | 41.23/10.83 | 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 3 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 4 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 5 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 41.23/10.83 Remains to prove termination of the 2-rule system 41.23/10.83 { 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 0 5 1 4 2 3 3 4 2 -> 2 3 1 1 1 2 0 5 5 5 3 5 1 4 1 0 0 2 0 1 5 0 1 4 2 3 3 4 2 , 41.23/10.83 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 } 41.23/10.83 41.23/10.83 41.23/10.83 The system was filtered by the following matrix interpretation 41.23/10.83 of type E_J with J = {1,...,2} and dimension 30: 41.23/10.83 41.23/10.83 0 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 1 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 \ / 41.23/10.83 2 is interpreted by 41.23/10.83 / \ 41.23/10.83 | 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 | 41.23/10.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 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 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 3 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 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 | 41.23/10.84 | 0 0 0 0 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 4 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 5 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 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 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 41.23/10.84 Remains to prove termination of the 1-rule system 41.23/10.84 { 2 5 3 5 0 1 0 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 -> 2 5 3 5 0 0 1 1 4 4 4 2 2 2 3 4 1 3 3 3 1 4 3 3 1 5 4 4 4 0 } 41.23/10.84 41.23/10.84 41.23/10.84 The system was filtered by the following matrix interpretation 41.23/10.84 of type E_J with J = {1,...,2} and dimension 31: 41.23/10.84 41.23/10.84 0 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 1 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 2 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 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 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 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 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 3 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 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 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 4 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 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 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 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 | 41.23/10.84 | 0 0 0 0 0 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 | 41.23/10.84 | 0 0 0 0 0 0 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 5 is interpreted by 41.23/10.84 / \ 41.23/10.84 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 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 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.23/10.84 \ / 41.23/10.84 41.23/10.84 Remains to prove termination of the 0-rule system 41.23/10.84 { } 41.23/10.84 41.23/10.84 41.23/10.84 The system is trivially terminating. 41.35/10.87 EOF