46.04/12.01 YES 47.54/12.46 47.54/12.46 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 2: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 1 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 1 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 1 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 1 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 1 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 1 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 50-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 2 1 0 4 4 0 3 3 5 -> 2 1 0 4 0 4 3 3 5 , 47.54/12.46 1 0 1 1 1 2 1 1 3 4 -> 1 2 5 1 5 0 2 4 3 1 , 47.54/12.46 1 0 1 3 5 5 5 3 2 3 -> 1 2 4 2 1 0 3 5 5 4 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 2 5 4 3 3 4 2 1 1 3 -> 2 1 0 0 5 4 3 4 2 5 , 47.54/12.46 3 0 3 1 2 1 3 3 2 1 -> 4 2 4 5 2 5 0 4 0 1 , 47.54/12.46 5 1 2 2 1 3 1 5 1 1 -> 3 1 0 5 0 4 1 4 3 1 , 47.54/12.46 0 0 1 4 1 0 2 5 0 5 1 -> 0 0 4 1 1 0 2 5 0 5 1 , 47.54/12.46 0 1 2 3 2 1 2 4 0 5 4 -> 0 1 2 3 2 1 4 2 0 5 4 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 1 1 3 3 2 2 3 1 1 3 5 5 -> 1 2 3 3 1 1 3 1 2 3 5 5 , 47.54/12.46 2 0 4 5 4 2 1 4 5 3 0 1 -> 2 5 0 4 4 1 5 2 4 1 3 0 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 4 1 5 4 4 0 2 4 0 1 3 0 1 -> 3 4 1 4 5 4 2 0 4 0 3 1 1 0 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 2: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 1 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 46-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 2 1 0 4 4 0 3 3 5 -> 2 1 0 4 0 4 3 3 5 , 47.54/12.46 1 0 1 3 5 5 5 3 2 3 -> 1 2 4 2 1 0 3 5 5 4 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 0 1 4 1 0 2 5 0 5 1 -> 0 0 4 1 1 0 2 5 0 5 1 , 47.54/12.46 0 1 2 3 2 1 2 4 0 5 4 -> 0 1 2 3 2 1 4 2 0 5 4 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 1 1 3 3 2 2 3 1 1 3 5 5 -> 1 2 3 3 1 1 3 1 2 3 5 5 , 47.54/12.46 2 0 4 5 4 2 1 4 5 3 0 1 -> 2 5 0 4 4 1 5 2 4 1 3 0 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 4 1 5 4 4 0 2 4 0 1 3 0 1 -> 3 4 1 4 5 4 2 0 4 0 3 1 1 0 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 2: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 1 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 | 47.54/12.46 | 0 1 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 45-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 2 1 0 4 4 0 3 3 5 -> 2 1 0 4 0 4 3 3 5 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 0 1 4 1 0 2 5 0 5 1 -> 0 0 4 1 1 0 2 5 0 5 1 , 47.54/12.46 0 1 2 3 2 1 2 4 0 5 4 -> 0 1 2 3 2 1 4 2 0 5 4 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 1 1 3 3 2 2 3 1 1 3 5 5 -> 1 2 3 3 1 1 3 1 2 3 5 5 , 47.54/12.46 2 0 4 5 4 2 1 4 5 3 0 1 -> 2 5 0 4 4 1 5 2 4 1 3 0 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 4 1 5 4 4 0 2 4 0 1 3 0 1 -> 3 4 1 4 5 4 2 0 4 0 3 1 1 0 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 10: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 1 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 1 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 1 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 1 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 1 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 1 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 1 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 1 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 44-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 0 1 4 1 0 2 5 0 5 1 -> 0 0 4 1 1 0 2 5 0 5 1 , 47.54/12.46 0 1 2 3 2 1 2 4 0 5 4 -> 0 1 2 3 2 1 4 2 0 5 4 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 1 1 3 3 2 2 3 1 1 3 5 5 -> 1 2 3 3 1 1 3 1 2 3 5 5 , 47.54/12.46 2 0 4 5 4 2 1 4 5 3 0 1 -> 2 5 0 4 4 1 5 2 4 1 3 0 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 4 1 5 4 4 0 2 4 0 1 3 0 1 -> 3 4 1 4 5 4 2 0 4 0 3 1 1 0 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 13: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 43-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 0 1 4 1 0 2 5 0 5 1 -> 0 0 4 1 1 0 2 5 0 5 1 , 47.54/12.46 0 1 2 3 2 1 2 4 0 5 4 -> 0 1 2 3 2 1 4 2 0 5 4 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 2 0 4 5 4 2 1 4 5 3 0 1 -> 2 5 0 4 4 1 5 2 4 1 3 0 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 4 1 5 4 4 0 2 4 0 1 3 0 1 -> 3 4 1 4 5 4 2 0 4 0 3 1 1 0 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 13: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 42-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 0 1 4 1 0 2 5 0 5 1 -> 0 0 4 1 1 0 2 5 0 5 1 , 47.54/12.46 0 1 2 3 2 1 2 4 0 5 4 -> 0 1 2 3 2 1 4 2 0 5 4 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 4 1 5 4 4 0 2 4 0 1 3 0 1 -> 3 4 1 4 5 4 2 0 4 0 3 1 1 0 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 15: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 41-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 0 1 4 1 0 2 5 0 5 1 -> 0 0 4 1 1 0 2 5 0 5 1 , 47.54/12.46 0 1 2 3 2 1 2 4 0 5 4 -> 0 1 2 3 2 1 4 2 0 5 4 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 12: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 40-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 1 2 3 2 1 2 4 0 5 4 -> 0 1 2 3 2 1 4 2 0 5 4 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 12: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 39-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 0 2 1 2 4 5 5 3 3 3 5 5 -> 0 2 1 4 2 5 5 3 3 3 5 5 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.46 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.46 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.46 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.46 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.46 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.46 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.46 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.46 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.46 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.46 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.46 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.46 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.46 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.46 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.46 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.46 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.46 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.46 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.46 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.46 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.46 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.46 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.46 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.46 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.46 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.46 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.46 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.46 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.46 47.54/12.46 47.54/12.46 The system was filtered by the following matrix interpretation 47.54/12.46 of type E_J with J = {1,...,2} and dimension 13: 47.54/12.46 47.54/12.46 0 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 1 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 2 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 3 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 4 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 5 is interpreted by 47.54/12.46 / \ 47.54/12.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.46 \ / 47.54/12.46 47.54/12.46 Remains to prove termination of the 38-rule system 47.54/12.46 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.46 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.46 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.46 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.46 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.46 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.46 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.46 0 1 1 3 2 1 5 1 1 1 1 0 4 4 -> 0 1 1 3 2 5 1 1 1 1 1 0 4 4 , 47.54/12.46 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.46 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.47 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 15: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 37-rule system 47.54/12.47 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.47 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.47 3 3 5 0 4 1 3 1 4 0 5 2 4 1 4 -> 3 3 5 0 4 1 3 1 4 5 0 2 4 1 4 , 47.54/12.47 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.47 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 16: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 36-rule system 47.54/12.47 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.47 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.47 4 1 0 2 1 3 5 2 5 4 4 5 2 2 5 -> 4 1 2 5 1 0 3 2 5 2 5 4 4 2 5 , 47.54/12.47 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 16: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 35-rule system 47.54/12.47 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.47 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.47 0 2 2 4 5 1 5 3 2 4 0 3 5 4 4 5 -> 2 0 5 4 2 5 2 3 1 0 4 5 4 3 4 5 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 17: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 34-rule system 47.54/12.47 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.47 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 1 5 3 5 3 4 3 0 1 2 -> 3 0 4 5 5 1 3 3 1 2 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 11: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 33-rule system 47.54/12.47 { 0 1 2 0 3 2 2 3 -> 0 0 1 3 2 2 2 3 , 47.54/12.47 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 9: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 32-rule system 47.54/12.47 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 3 4 5 1 3 2 1 1 5 0 5 -> 3 4 5 1 2 3 1 5 1 0 5 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 12: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 31-rule system 47.54/12.47 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 3 3 4 1 2 5 1 0 0 4 3 1 3 -> 3 3 4 1 2 5 0 1 0 4 3 1 3 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 14: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 30-rule system 47.54/12.47 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 3 3 4 1 3 0 2 2 5 3 0 4 0 5 3 5 1 -> 4 3 3 4 1 3 0 2 2 5 3 4 0 0 5 3 5 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 19: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 29-rule system 47.54/12.47 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 3 4 4 3 0 3 0 3 2 4 2 1 0 2 3 5 5 5 2 -> 3 4 4 3 0 3 0 3 2 2 4 1 0 2 3 5 5 5 2 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 20: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 28-rule system 47.54/12.47 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 4 4 3 0 3 5 4 3 1 0 1 5 3 4 5 0 4 3 3 2 -> 4 4 3 0 3 5 4 3 1 0 5 1 4 3 5 0 4 3 3 2 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 21: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 27-rule system 47.54/12.47 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 1 5 0 0 5 5 0 0 3 3 2 3 0 5 2 4 0 5 5 4 1 -> 0 0 5 1 5 5 3 0 0 3 5 0 2 2 3 5 0 4 4 5 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 22: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 26-rule system 47.54/12.47 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 0 4 0 0 1 0 4 5 2 0 0 -> 0 4 0 0 0 1 4 5 2 0 0 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 12: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 3 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 4 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 5 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 47.54/12.47 Remains to prove termination of the 25-rule system 47.54/12.47 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.47 1 4 3 1 1 1 0 1 0 0 0 0 0 -> 1 4 1 3 1 1 0 1 0 0 0 0 0 , 47.54/12.47 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.47 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.47 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.47 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.47 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.47 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.47 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.47 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.47 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.47 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.47 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.47 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.47 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.47 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.47 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.47 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.47 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.47 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.47 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.47 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.47 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.47 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.47 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.47 47.54/12.47 47.54/12.47 The system was filtered by the following matrix interpretation 47.54/12.47 of type E_J with J = {1,...,2} and dimension 14: 47.54/12.47 47.54/12.47 0 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 1 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 \ / 47.54/12.47 2 is interpreted by 47.54/12.47 / \ 47.54/12.47 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.47 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 24-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 1 4 1 5 4 0 2 3 4 2 4 5 2 2 0 5 3 0 -> 1 4 1 4 5 0 2 3 4 2 4 5 2 2 0 5 3 0 , 47.54/12.48 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.48 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.48 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.48 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.48 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.48 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.48 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 19: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 23-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.48 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.48 4 0 1 1 0 5 3 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 -> 4 0 1 1 0 3 5 1 2 4 2 0 5 1 4 2 0 4 0 3 4 0 1 , 47.54/12.48 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.48 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.48 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.48 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 24: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 22-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.48 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.48 4 2 3 5 5 4 1 4 5 5 2 4 4 1 4 0 1 4 4 1 1 5 0 -> 4 3 2 5 5 4 5 1 4 5 2 4 4 1 4 0 1 4 4 1 1 5 0 , 47.54/12.48 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.48 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.48 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 24: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 21-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.48 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.48 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.48 0 5 4 1 0 0 3 1 5 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 -> 0 5 4 1 0 0 3 5 1 2 3 5 4 0 1 2 4 4 4 0 0 4 1 5 , 47.54/12.48 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 25: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 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 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 20-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.48 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.48 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.48 1 2 1 2 1 2 0 5 3 5 0 3 1 5 5 2 0 0 1 5 5 3 2 3 -> 1 2 1 3 2 5 2 1 1 5 0 0 0 5 1 3 5 3 2 2 5 0 3 5 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 25: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 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 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 19-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 3 5 2 0 3 3 5 0 4 4 4 5 2 3 1 1 2 1 -> 3 5 0 2 3 3 5 0 4 4 4 5 2 3 1 1 2 1 , 47.54/12.48 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.48 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 19: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 18-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 2 4 5 5 1 -> 3 5 3 0 2 5 5 4 1 0 1 5 1 2 3 5 2 4 2 5 5 1 , 47.54/12.48 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 23: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 17-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 5 3 0 3 -> 5 1 5 3 1 0 5 4 1 3 3 2 3 1 2 4 3 1 0 3 5 0 3 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 24: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 16-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 1 5 4 1 0 3 1 2 3 1 5 2 2 0 3 4 4 1 1 3 1 2 5 5 -> 1 5 4 1 0 3 1 2 3 5 1 2 2 0 3 4 4 1 1 3 1 2 5 5 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 25: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 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 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 15-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 2 2 0 2 2 3 0 3 0 1 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 -> 2 2 0 2 2 3 0 3 1 0 1 4 3 2 4 5 4 4 0 0 4 3 2 2 2 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 26: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 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 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 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 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 4 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 5 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 47.54/12.48 Remains to prove termination of the 14-rule system 47.54/12.48 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.48 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 0 5 4 5 2 0 0 2 5 1 -> 3 3 1 4 4 3 1 5 3 2 1 4 5 2 0 5 0 4 5 2 0 0 2 5 1 , 47.54/12.48 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.48 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.48 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.48 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.48 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.48 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.48 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.48 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.48 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.48 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.48 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.48 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.48 47.54/12.48 47.54/12.48 The system was filtered by the following matrix interpretation 47.54/12.48 of type E_J with J = {1,...,2} and dimension 26: 47.54/12.48 47.54/12.48 0 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 1 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 2 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 \ / 47.54/12.48 3 is interpreted by 47.54/12.48 / \ 47.54/12.48 | 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 | 47.54/12.48 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.48 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 4 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 5 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 47.54/12.49 Remains to prove termination of the 13-rule system 47.54/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.49 3 5 3 4 1 4 0 5 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 -> 3 5 3 4 1 4 5 0 2 3 2 1 5 2 3 1 3 4 3 1 3 0 2 5 1 , 47.54/12.49 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.49 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.49 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.49 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.49 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.49 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.49 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.49 47.54/12.49 47.54/12.49 The system was filtered by the following matrix interpretation 47.54/12.49 of type E_J with J = {1,...,2} and dimension 26: 47.54/12.49 47.54/12.49 0 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 1 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 2 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 3 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 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 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 4 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 5 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 47.54/12.49 Remains to prove termination of the 12-rule system 47.54/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.54/12.49 4 2 5 1 0 3 2 0 4 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 -> 4 2 5 1 0 3 2 4 0 0 2 5 2 4 0 5 2 1 0 2 3 5 2 1 1 , 47.54/12.49 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.54/12.49 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.54/12.49 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.54/12.49 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.54/12.49 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.54/12.49 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.54/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.54/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.54/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.54/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.54/12.49 47.54/12.49 47.54/12.49 The system was filtered by the following matrix interpretation 47.54/12.49 of type E_J with J = {1,...,2} and dimension 26: 47.54/12.49 47.54/12.49 0 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 1 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 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 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 2 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 3 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 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 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 \ / 47.54/12.49 4 is interpreted by 47.54/12.49 / \ 47.54/12.49 | 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 | 47.54/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.54/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 5 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 47.66/12.49 Remains to prove termination of the 11-rule system 47.66/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.49 0 2 0 2 1 0 1 3 2 4 4 4 0 0 0 1 3 4 4 5 4 0 1 1 4 0 2 -> 0 2 0 0 2 1 1 2 3 4 4 4 0 0 3 0 4 1 5 4 0 4 1 1 4 0 2 , 47.66/12.49 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.66/12.49 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.66/12.49 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.66/12.49 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.66/12.49 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.66/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.66/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.66/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.49 47.66/12.49 47.66/12.49 The system was filtered by the following matrix interpretation 47.66/12.49 of type E_J with J = {1,...,2} and dimension 28: 47.66/12.49 47.66/12.49 0 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 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 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 1 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 2 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 3 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 4 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 5 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 47.66/12.49 Remains to prove termination of the 10-rule system 47.66/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.49 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 3 1 0 0 5 4 0 3 3 -> 2 5 0 0 4 4 4 1 2 3 2 4 3 4 1 5 3 4 1 3 0 0 5 4 0 3 3 , 47.66/12.49 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.66/12.49 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.66/12.49 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.66/12.49 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.66/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.66/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.66/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.49 47.66/12.49 47.66/12.49 The system was filtered by the following matrix interpretation 47.66/12.49 of type E_J with J = {1,...,2} and dimension 28: 47.66/12.49 47.66/12.49 0 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 1 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 2 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 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 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 3 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 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 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 4 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 5 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 47.66/12.49 Remains to prove termination of the 9-rule system 47.66/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.49 3 4 2 4 4 1 0 5 2 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 -> 3 4 2 4 4 1 0 2 5 2 2 3 3 2 3 1 5 0 5 5 4 5 5 5 2 1 1 , 47.66/12.49 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.66/12.49 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.66/12.49 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.66/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.66/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.66/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.49 47.66/12.49 47.66/12.49 The system was filtered by the following matrix interpretation 47.66/12.49 of type E_J with J = {1,...,2} and dimension 28: 47.66/12.49 47.66/12.49 0 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 1 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 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 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 2 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 3 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 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 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 4 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 5 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 47.66/12.49 Remains to prove termination of the 8-rule system 47.66/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.49 5 5 0 2 2 1 0 5 4 5 2 0 1 5 2 2 3 4 1 4 1 3 2 3 3 1 0 -> 5 5 0 2 2 1 0 5 4 5 2 0 5 1 2 2 3 4 1 4 1 3 2 3 3 1 0 , 47.66/12.49 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.66/12.49 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.66/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.66/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.66/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.49 47.66/12.49 47.66/12.49 The system was filtered by the following matrix interpretation 47.66/12.49 of type E_J with J = {1,...,2} and dimension 28: 47.66/12.49 47.66/12.49 0 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 1 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 2 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 3 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 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 | 47.66/12.49 | 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 4 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 5 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 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 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 47.66/12.49 Remains to prove termination of the 7-rule system 47.66/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.49 4 0 3 4 0 2 1 3 0 4 4 4 1 5 2 2 1 1 4 4 3 2 3 5 0 4 5 3 -> 4 0 3 4 0 2 1 3 0 4 4 4 1 2 5 2 1 1 4 4 3 2 3 5 0 4 5 3 , 47.66/12.49 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.66/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.66/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.66/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.49 47.66/12.49 47.66/12.49 The system was filtered by the following matrix interpretation 47.66/12.49 of type E_J with J = {1,...,2} and dimension 29: 47.66/12.49 47.66/12.49 0 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 1 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 2 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 3 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 4 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 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 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 5 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 47.66/12.49 Remains to prove termination of the 6-rule system 47.66/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.49 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 1 3 2 0 -> 4 4 5 5 4 3 5 5 1 1 5 2 5 1 5 0 4 5 0 5 4 1 3 0 3 1 2 0 , 47.66/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.66/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.66/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.49 47.66/12.49 47.66/12.49 The system was filtered by the following matrix interpretation 47.66/12.49 of type E_J with J = {1,...,2} and dimension 29: 47.66/12.49 47.66/12.49 0 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 1 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 2 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 3 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 4 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 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 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 5 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 47.66/12.49 Remains to prove termination of the 5-rule system 47.66/12.49 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.49 5 0 3 5 2 1 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 -> 5 0 3 5 1 2 5 0 2 3 5 2 5 4 2 4 4 3 4 1 5 5 0 4 0 4 5 3 , 47.66/12.49 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.66/12.49 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.49 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.49 47.66/12.49 47.66/12.49 The system was filtered by the following matrix interpretation 47.66/12.49 of type E_J with J = {1,...,2} and dimension 29: 47.66/12.49 47.66/12.49 0 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 1 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 \ / 47.66/12.49 2 is interpreted by 47.66/12.49 / \ 47.66/12.49 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 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 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.49 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 3 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 4 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 5 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 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 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 47.66/12.50 Remains to prove termination of the 4-rule system 47.66/12.50 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.50 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 1 3 1 1 2 3 -> 0 0 1 2 4 3 5 0 5 2 4 1 3 0 3 5 2 1 3 0 5 1 2 2 3 1 1 1 2 3 , 47.66/12.50 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.50 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.50 47.66/12.50 47.66/12.50 The system was filtered by the following matrix interpretation 47.66/12.50 of type E_J with J = {1,...,2} and dimension 31: 47.66/12.50 47.66/12.50 0 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 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 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 1 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 2 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 3 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 4 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 5 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 47.66/12.50 Remains to prove termination of the 3-rule system 47.66/12.50 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.50 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 5 1 2 5 3 4 3 3 0 5 5 4 1 0 -> 3 3 0 3 2 2 1 5 4 4 1 3 1 1 5 5 1 5 2 5 3 4 3 3 0 5 5 4 1 0 , 47.66/12.50 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.50 47.66/12.50 47.66/12.50 The system was filtered by the following matrix interpretation 47.66/12.50 of type E_J with J = {1,...,2} and dimension 31: 47.66/12.50 47.66/12.50 0 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 1 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 2 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 3 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 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 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 4 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 5 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 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 | 47.66/12.50 | 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 47.66/12.50 Remains to prove termination of the 2-rule system 47.66/12.50 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 , 47.66/12.50 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 3 1 1 5 2 2 4 1 -> 5 2 3 3 1 4 2 2 2 1 3 4 2 1 5 3 5 1 0 4 0 5 1 3 1 5 2 2 4 1 } 47.66/12.50 47.66/12.50 47.66/12.50 The system was filtered by the following matrix interpretation 47.66/12.50 of type E_J with J = {1,...,2} and dimension 31: 47.66/12.50 47.66/12.50 0 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 1 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 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 | 47.66/12.50 | 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 2 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 3 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 4 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 5 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 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 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 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 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 47.66/12.50 Remains to prove termination of the 1-rule system 47.66/12.50 { 0 3 4 3 0 5 4 3 -> 0 3 4 5 0 3 4 3 } 47.66/12.50 47.66/12.50 47.66/12.50 The system was filtered by the following matrix interpretation 47.66/12.50 of type E_J with J = {1,...,2} and dimension 9: 47.66/12.50 47.66/12.50 0 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 1 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 1 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 1 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 2 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 3 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 1 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 1 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 4 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 1 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 1 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 5 is interpreted by 47.66/12.50 / \ 47.66/12.50 | 1 0 0 1 0 0 0 0 0 | 47.66/12.50 | 0 1 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 1 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 | 0 0 0 0 0 0 0 0 0 | 47.66/12.50 \ / 47.66/12.50 47.66/12.50 Remains to prove termination of the 0-rule system 47.66/12.50 { } 47.66/12.50 47.66/12.50 47.66/12.50 The system is trivially terminating. 47.66/12.53 EOF