36.21/9.55 YES 37.72/9.94 37.72/9.94 37.72/9.94 37.72/9.94 37.72/9.94 The system was filtered by the following matrix interpretation 37.72/9.94 of type E_J with J = {1,...,2} and dimension 2: 37.72/9.94 37.72/9.94 0 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 1 | 37.72/9.94 | 0 1 | 37.72/9.94 \ / 37.72/9.94 1 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 1 | 37.72/9.94 | 0 1 | 37.72/9.94 \ / 37.72/9.94 2 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 1 | 37.72/9.94 | 0 1 | 37.72/9.94 \ / 37.72/9.94 3 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 1 | 37.72/9.94 | 0 1 | 37.72/9.94 \ / 37.72/9.94 4 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 1 | 37.72/9.94 | 0 1 | 37.72/9.94 \ / 37.72/9.94 5 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 1 | 37.72/9.94 | 0 1 | 37.72/9.94 \ / 37.72/9.94 37.72/9.94 Remains to prove termination of the 42-rule system 37.72/9.94 { 0 0 0 1 0 2 3 4 -> 0 0 0 1 2 0 3 4 , 37.72/9.94 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.94 1 5 2 2 5 3 4 4 5 1 -> 1 5 2 2 4 5 3 4 5 1 , 37.72/9.94 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.94 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.94 4 0 3 4 1 0 2 3 3 1 3 5 -> 4 0 3 4 1 2 0 3 3 1 3 5 , 37.72/9.94 4 1 4 5 2 5 4 5 5 4 3 3 0 -> 4 1 4 5 2 5 4 5 5 3 4 3 0 , 37.72/9.94 1 0 1 1 1 0 5 5 0 1 2 4 1 2 -> 1 0 1 1 0 1 5 5 0 1 2 4 1 2 , 37.72/9.94 1 2 1 1 3 2 5 3 0 5 5 4 5 3 -> 1 2 1 1 3 2 3 5 0 5 5 4 5 3 , 37.72/9.94 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.94 4 2 1 4 5 2 4 5 4 3 0 1 2 2 -> 4 2 1 4 5 2 4 5 3 4 0 1 2 2 , 37.72/9.94 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.94 3 5 0 4 1 5 3 2 4 1 4 0 4 2 1 5 -> 3 5 0 4 1 3 5 2 4 1 4 0 4 2 1 5 , 37.72/9.94 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.94 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.94 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.94 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.94 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.94 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.94 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.94 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.94 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.94 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.94 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.94 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.94 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.94 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.94 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.94 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.94 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.94 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.94 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.94 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.94 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.94 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.94 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.94 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.94 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.94 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.94 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.94 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.94 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.94 37.72/9.94 37.72/9.94 The system was filtered by the following matrix interpretation 37.72/9.94 of type E_J with J = {1,...,2} and dimension 9: 37.72/9.94 37.72/9.94 0 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 1 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 1 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 1 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 1 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 1 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 1 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 2 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 1 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 3 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 1 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 4 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 5 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 37.72/9.94 Remains to prove termination of the 41-rule system 37.72/9.94 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.94 1 5 2 2 5 3 4 4 5 1 -> 1 5 2 2 4 5 3 4 5 1 , 37.72/9.94 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.94 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.94 4 0 3 4 1 0 2 3 3 1 3 5 -> 4 0 3 4 1 2 0 3 3 1 3 5 , 37.72/9.94 4 1 4 5 2 5 4 5 5 4 3 3 0 -> 4 1 4 5 2 5 4 5 5 3 4 3 0 , 37.72/9.94 1 0 1 1 1 0 5 5 0 1 2 4 1 2 -> 1 0 1 1 0 1 5 5 0 1 2 4 1 2 , 37.72/9.94 1 2 1 1 3 2 5 3 0 5 5 4 5 3 -> 1 2 1 1 3 2 3 5 0 5 5 4 5 3 , 37.72/9.94 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.94 4 2 1 4 5 2 4 5 4 3 0 1 2 2 -> 4 2 1 4 5 2 4 5 3 4 0 1 2 2 , 37.72/9.94 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.94 3 5 0 4 1 5 3 2 4 1 4 0 4 2 1 5 -> 3 5 0 4 1 3 5 2 4 1 4 0 4 2 1 5 , 37.72/9.94 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.94 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.94 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.94 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.94 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.94 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.94 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.94 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.94 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.94 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.94 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.94 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.94 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.94 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.94 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.94 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.94 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.94 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.94 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.94 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.94 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.94 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.94 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.94 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.94 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.94 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.94 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.94 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.94 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.94 37.72/9.94 37.72/9.94 The system was filtered by the following matrix interpretation 37.72/9.94 of type E_J with J = {1,...,2} and dimension 11: 37.72/9.94 37.72/9.94 0 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 1 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 1 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 2 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 3 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 4 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 5 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 37.72/9.94 Remains to prove termination of the 40-rule system 37.72/9.94 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.94 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.94 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.94 4 0 3 4 1 0 2 3 3 1 3 5 -> 4 0 3 4 1 2 0 3 3 1 3 5 , 37.72/9.94 4 1 4 5 2 5 4 5 5 4 3 3 0 -> 4 1 4 5 2 5 4 5 5 3 4 3 0 , 37.72/9.94 1 0 1 1 1 0 5 5 0 1 2 4 1 2 -> 1 0 1 1 0 1 5 5 0 1 2 4 1 2 , 37.72/9.94 1 2 1 1 3 2 5 3 0 5 5 4 5 3 -> 1 2 1 1 3 2 3 5 0 5 5 4 5 3 , 37.72/9.94 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.94 4 2 1 4 5 2 4 5 4 3 0 1 2 2 -> 4 2 1 4 5 2 4 5 3 4 0 1 2 2 , 37.72/9.94 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.94 3 5 0 4 1 5 3 2 4 1 4 0 4 2 1 5 -> 3 5 0 4 1 3 5 2 4 1 4 0 4 2 1 5 , 37.72/9.94 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.94 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.94 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.94 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.94 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.94 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.94 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.94 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.94 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.94 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.94 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.94 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.94 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.94 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.94 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.94 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.94 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.94 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.94 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.94 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.94 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.94 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.94 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.94 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.94 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.94 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.94 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.94 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.94 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.94 37.72/9.94 37.72/9.94 The system was filtered by the following matrix interpretation 37.72/9.94 of type E_J with J = {1,...,2} and dimension 13: 37.72/9.94 37.72/9.94 0 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 1 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 2 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 3 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 4 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 5 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 37.72/9.94 Remains to prove termination of the 39-rule system 37.72/9.94 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.94 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.94 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.94 4 1 4 5 2 5 4 5 5 4 3 3 0 -> 4 1 4 5 2 5 4 5 5 3 4 3 0 , 37.72/9.94 1 0 1 1 1 0 5 5 0 1 2 4 1 2 -> 1 0 1 1 0 1 5 5 0 1 2 4 1 2 , 37.72/9.94 1 2 1 1 3 2 5 3 0 5 5 4 5 3 -> 1 2 1 1 3 2 3 5 0 5 5 4 5 3 , 37.72/9.94 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.94 4 2 1 4 5 2 4 5 4 3 0 1 2 2 -> 4 2 1 4 5 2 4 5 3 4 0 1 2 2 , 37.72/9.94 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.94 3 5 0 4 1 5 3 2 4 1 4 0 4 2 1 5 -> 3 5 0 4 1 3 5 2 4 1 4 0 4 2 1 5 , 37.72/9.94 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.94 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.94 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.94 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.94 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.94 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.94 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.94 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.94 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.94 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.94 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.94 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.94 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.94 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.94 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.94 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.94 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.94 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.94 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.94 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.94 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.94 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.94 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.94 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.94 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.94 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.94 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.94 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.94 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.94 37.72/9.94 37.72/9.94 The system was filtered by the following matrix interpretation 37.72/9.94 of type E_J with J = {1,...,2} and dimension 14: 37.72/9.94 37.72/9.94 0 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 1 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 2 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 3 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 4 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 5 is interpreted by 37.72/9.94 / \ 37.72/9.94 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.94 \ / 37.72/9.94 37.72/9.94 Remains to prove termination of the 38-rule system 37.72/9.94 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.94 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.94 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.94 1 0 1 1 1 0 5 5 0 1 2 4 1 2 -> 1 0 1 1 0 1 5 5 0 1 2 4 1 2 , 37.72/9.94 1 2 1 1 3 2 5 3 0 5 5 4 5 3 -> 1 2 1 1 3 2 3 5 0 5 5 4 5 3 , 37.72/9.94 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.94 4 2 1 4 5 2 4 5 4 3 0 1 2 2 -> 4 2 1 4 5 2 4 5 3 4 0 1 2 2 , 37.72/9.94 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 3 5 0 4 1 5 3 2 4 1 4 0 4 2 1 5 -> 3 5 0 4 1 3 5 2 4 1 4 0 4 2 1 5 , 37.72/9.95 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.95 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.95 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 15: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 37-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 1 2 1 1 3 2 5 3 0 5 5 4 5 3 -> 1 2 1 1 3 2 3 5 0 5 5 4 5 3 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 4 2 1 4 5 2 4 5 4 3 0 1 2 2 -> 4 2 1 4 5 2 4 5 3 4 0 1 2 2 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 3 5 0 4 1 5 3 2 4 1 4 0 4 2 1 5 -> 3 5 0 4 1 3 5 2 4 1 4 0 4 2 1 5 , 37.72/9.95 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.95 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.95 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 15: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 36-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 4 2 1 4 5 2 4 5 4 3 0 1 2 2 -> 4 2 1 4 5 2 4 5 3 4 0 1 2 2 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 3 5 0 4 1 5 3 2 4 1 4 0 4 2 1 5 -> 3 5 0 4 1 3 5 2 4 1 4 0 4 2 1 5 , 37.72/9.95 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.95 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.95 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 15: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 35-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 3 5 0 4 1 5 3 2 4 1 4 0 4 2 1 5 -> 3 5 0 4 1 3 5 2 4 1 4 0 4 2 1 5 , 37.72/9.95 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.95 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.95 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 17: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 34-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 4 4 0 3 1 2 3 0 3 2 4 5 5 2 1 1 3 -> 4 4 0 3 1 2 0 3 3 2 4 5 5 2 1 1 3 , 37.72/9.95 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.95 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 18: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 33-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 0 0 4 0 4 4 0 2 1 3 4 4 0 5 3 3 2 3 -> 0 0 4 0 4 4 2 0 1 4 3 0 4 5 3 3 3 2 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.95 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 19: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 32-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 0 4 0 4 5 4 4 3 0 5 5 3 2 5 2 0 1 5 4 -> 0 4 0 4 5 4 3 4 0 5 5 3 2 5 2 0 1 5 4 , 37.72/9.95 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 20: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 31-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 1 0 3 1 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 -> 1 0 1 3 3 4 0 1 0 1 3 2 2 4 2 2 2 2 0 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 20: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 30-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 3 5 0 1 5 3 3 2 5 2 5 3 0 2 0 2 3 3 0 2 -> 3 5 3 2 5 5 2 3 2 1 2 0 3 3 5 0 0 3 0 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 21: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 29-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 3 2 4 1 5 4 0 3 1 2 3 2 1 1 2 0 0 4 2 3 0 -> 3 2 4 5 1 4 0 3 2 1 3 2 1 1 2 0 0 4 2 3 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 22: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 28-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 1 5 2 0 1 3 -> 4 2 2 2 4 5 1 4 0 1 5 4 5 1 1 5 1 2 0 1 3 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 22: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 3 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 4 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 5 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 37.72/9.95 Remains to prove termination of the 27-rule system 37.72/9.95 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.95 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.95 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.95 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.95 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.95 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.95 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.95 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.95 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.95 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.95 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.95 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.95 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.95 1 5 4 4 1 0 1 3 2 5 3 5 0 5 0 0 1 1 2 5 0 4 1 -> 1 5 4 4 1 0 1 3 2 5 5 3 0 5 0 0 1 1 2 5 0 4 1 , 37.72/9.95 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.95 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.95 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.95 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.95 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.95 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.95 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.95 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.95 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.95 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.95 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.95 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.95 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.95 37.72/9.95 37.72/9.95 The system was filtered by the following matrix interpretation 37.72/9.95 of type E_J with J = {1,...,2} and dimension 24: 37.72/9.95 37.72/9.95 0 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 1 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 \ / 37.72/9.95 2 is interpreted by 37.72/9.95 / \ 37.72/9.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 26-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.96 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.96 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 0 0 0 0 3 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 -> 0 0 0 3 0 3 5 1 2 2 1 1 0 0 1 1 2 1 0 2 0 2 0 5 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.96 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 25: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 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 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 25-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.96 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.96 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 2 4 0 2 4 3 3 0 3 4 -> 0 1 0 4 0 4 5 5 2 2 3 1 5 0 5 3 4 2 0 2 4 3 3 0 3 4 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.96 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 27: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 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 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 24-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.96 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.96 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 5 1 2 4 0 1 -> 3 0 3 3 0 0 3 3 2 4 0 3 4 1 5 1 1 1 3 3 3 2 1 5 2 4 0 1 , 37.72/9.96 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 29: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 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 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 23-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.96 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.96 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 4 1 3 2 5 5 4 4 3 1 1 4 5 3 3 5 3 5 0 0 3 5 3 5 4 3 2 5 -> 4 1 3 2 5 5 4 4 3 1 1 4 3 5 3 5 3 5 0 0 3 5 3 5 4 3 2 5 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 29: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 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 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 22-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.96 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.96 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 0 5 1 0 1 2 1 2 3 4 0 2 0 5 0 4 2 2 5 5 4 0 1 1 4 1 0 0 3 -> 0 5 1 0 0 1 3 2 0 1 4 2 2 2 5 5 4 0 0 5 1 1 3 0 4 1 4 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 30: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 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 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 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 | 37.72/9.96 | 0 0 0 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 21-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 2 4 2 0 1 0 4 1 3 5 4 -> 0 2 4 2 0 1 4 0 3 5 1 4 , 37.72/9.96 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.96 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 13: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 20-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 2 1 4 4 2 5 3 1 1 1 1 0 3 1 -> 2 4 4 1 2 3 5 1 1 1 0 1 3 1 , 37.72/9.96 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 15: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 19-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 2 0 2 4 0 3 2 0 2 3 4 3 2 0 1 -> 2 0 2 4 0 3 2 0 3 2 4 3 2 0 1 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 16: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 18-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 2 1 3 3 5 2 3 5 2 1 5 5 1 5 1 0 0 3 -> 2 1 3 2 3 5 5 1 2 5 1 3 1 0 5 5 0 3 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 19: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 17-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 4 3 2 0 0 0 -> 2 1 2 2 1 2 3 5 1 1 4 1 0 2 0 3 4 0 2 0 0 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 22: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 2 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 3 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 4 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 5 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 37.72/9.96 Remains to prove termination of the 16-rule system 37.72/9.96 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.96 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.96 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.96 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.96 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.96 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.96 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.96 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.96 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.96 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.96 2 3 2 1 5 1 5 4 2 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 -> 2 3 2 1 5 1 5 2 4 2 1 1 3 4 1 0 0 0 0 1 5 5 5 2 4 4 1 0 , 37.72/9.96 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.96 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.96 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.96 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.96 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.96 37.72/9.96 37.72/9.96 The system was filtered by the following matrix interpretation 37.72/9.96 of type E_J with J = {1,...,2} and dimension 29: 37.72/9.96 37.72/9.96 0 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 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 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 \ / 37.72/9.96 1 is interpreted by 37.72/9.96 / \ 37.72/9.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.96 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 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 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 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 | 37.72/9.97 | 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 15-rule system 37.72/9.97 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.97 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.97 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.97 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.97 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.97 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 4 0 1 5 5 1 1 5 4 4 3 1 1 2 5 1 1 5 3 3 2 1 5 4 1 3 2 0 5 1 -> 4 0 1 5 5 1 1 5 4 4 3 1 1 2 1 5 1 5 3 3 2 1 5 4 1 3 2 0 5 1 , 37.72/9.97 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 31: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 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 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 14-rule system 37.72/9.97 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.97 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.97 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.97 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.97 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.97 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 1 4 1 2 0 3 3 -> 4 1 2 4 3 1 3 2 1 3 4 2 2 3 5 4 4 3 0 2 4 1 3 4 1 1 2 0 3 3 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 31: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 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 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 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 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 13-rule system 37.72/9.97 { 2 4 2 3 2 2 5 4 -> 2 4 3 2 2 5 2 4 , 37.72/9.97 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.97 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.97 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.97 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.97 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 9: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 1 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 1 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 1 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 1 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 1 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 1 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 12-rule system 37.72/9.97 { 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.97 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.97 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.97 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.97 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 2 4 3 4 2 2 5 3 3 2 0 3 1 2 4 2 2 5 1 3 1 0 -> 2 4 3 4 2 2 5 3 3 2 0 3 1 2 2 4 2 5 1 3 1 0 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 23: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 11-rule system 37.72/9.97 { 5 2 3 0 2 3 2 3 3 1 0 -> 5 2 3 3 3 2 0 2 3 1 0 , 37.72/9.97 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.97 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.97 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.97 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 12: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 10-rule system 37.72/9.97 { 0 1 4 2 2 0 4 4 4 3 4 1 4 1 1 5 2 0 -> 0 1 4 2 2 0 4 4 4 3 4 1 4 1 5 1 2 0 , 37.72/9.97 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.97 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.97 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 19: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 9-rule system 37.72/9.97 { 4 3 5 2 5 1 2 3 5 0 3 4 3 3 3 5 5 3 -> 4 3 5 5 2 1 2 3 5 0 3 4 3 3 3 5 5 3 , 37.72/9.97 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.97 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 19: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 8-rule system 37.72/9.97 { 5 3 3 0 3 5 0 1 3 2 2 4 1 1 3 4 4 1 2 -> 5 3 3 0 3 5 1 0 3 2 2 4 1 1 3 4 4 1 2 , 37.72/9.97 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 20: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 7-rule system 37.72/9.97 { 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 2 3 2 4 5 5 -> 1 0 0 2 0 4 4 3 0 2 4 4 2 5 4 3 2 2 4 5 5 , 37.72/9.97 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 22: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 6-rule system 37.72/9.97 { 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 2 1 2 -> 5 5 5 3 0 1 1 5 3 2 3 1 3 5 1 1 0 5 1 2 2 , 37.72/9.97 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 22: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 5-rule system 37.72/9.97 { 5 3 5 3 5 4 4 4 2 1 3 0 1 1 2 0 5 5 0 1 0 4 2 2 -> 5 5 3 3 5 4 4 2 4 1 0 3 1 1 2 0 5 5 0 0 1 4 2 2 , 37.72/9.97 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.97 of type E_J with J = {1,...,2} and dimension 25: 37.72/9.97 37.72/9.97 0 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 1 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 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 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 2 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 3 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 4 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 5 is interpreted by 37.72/9.97 / \ 37.72/9.97 | 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 | 37.72/9.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 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 | 37.72/9.97 | 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 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.97 \ / 37.72/9.97 37.72/9.97 Remains to prove termination of the 4-rule system 37.72/9.97 { 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 5 2 5 4 5 -> 5 2 2 5 5 0 1 1 3 0 2 2 0 1 4 3 0 4 0 3 1 5 2 5 5 4 5 , 37.72/9.97 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.97 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.97 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.97 37.72/9.97 37.72/9.97 The system was filtered by the following matrix interpretation 37.72/9.98 of type E_J with J = {1,...,2} and dimension 28: 37.72/9.98 37.72/9.98 0 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 1 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 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 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 2 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 3 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 4 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 5 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 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 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 37.72/9.98 Remains to prove termination of the 3-rule system 37.72/9.98 { 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 4 3 2 4 0 3 5 1 5 0 2 -> 5 4 0 0 1 4 4 1 3 4 3 4 4 0 2 5 4 3 4 2 4 0 3 5 1 5 0 2 , 37.72/9.98 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.98 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.98 37.72/9.98 37.72/9.98 The system was filtered by the following matrix interpretation 37.72/9.98 of type E_J with J = {1,...,2} and dimension 29: 37.72/9.98 37.72/9.98 0 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 1 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 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 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 2 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 3 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 4 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 5 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 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 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 37.72/9.98 Remains to prove termination of the 2-rule system 37.72/9.98 { 5 1 0 5 0 5 2 2 1 4 3 3 3 0 1 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 -> 5 1 0 5 0 5 2 2 1 4 3 3 3 1 0 5 0 0 2 2 1 3 3 3 4 4 5 3 5 3 , 37.72/9.98 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.98 37.72/9.98 37.72/9.98 The system was filtered by the following matrix interpretation 37.72/9.98 of type E_J with J = {1,...,2} and dimension 31: 37.72/9.98 37.72/9.98 0 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 1 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 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 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 2 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 4 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 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 | 37.72/9.98 | 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 5 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 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 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 37.72/9.98 Remains to prove termination of the 1-rule system 37.72/9.98 { 5 4 1 4 0 4 5 4 1 0 3 4 4 2 2 5 0 0 5 3 3 1 1 3 2 5 3 4 5 1 -> 5 4 4 3 4 0 1 4 0 2 4 5 1 5 0 5 0 3 4 3 2 2 1 5 1 3 3 1 4 5 } 37.72/9.98 37.72/9.98 37.72/9.98 The system was filtered by the following matrix interpretation 37.72/9.98 of type E_J with J = {1,...,2} and dimension 31: 37.72/9.98 37.72/9.98 0 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 1 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 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 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 2 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 3 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 4 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 5 is interpreted by 37.72/9.98 / \ 37.72/9.98 | 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 | 37.72/9.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 | 0 0 0 0 0 0 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 | 37.72/9.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.72/9.98 \ / 37.72/9.98 37.72/9.98 Remains to prove termination of the 0-rule system 37.72/9.98 { } 37.72/9.98 37.72/9.98 37.72/9.98 The system is trivially terminating. 37.82/10.04 EOF