36.04/9.45 YES 37.44/9.88 37.44/9.88 37.44/9.88 37.44/9.88 37.44/9.88 The system was filtered by the following matrix interpretation 37.44/9.88 of type E_J with J = {1,...,2} and dimension 2: 37.44/9.88 37.44/9.88 0 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 1 | 37.44/9.88 | 0 1 | 37.44/9.88 \ / 37.44/9.88 1 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 1 | 37.44/9.88 | 0 1 | 37.44/9.88 \ / 37.44/9.88 2 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 1 | 37.44/9.88 | 0 1 | 37.44/9.88 \ / 37.44/9.88 3 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 1 | 37.44/9.88 | 0 1 | 37.44/9.88 \ / 37.44/9.88 4 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 1 | 37.44/9.88 | 0 1 | 37.44/9.88 \ / 37.44/9.88 5 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 1 | 37.44/9.88 | 0 1 | 37.44/9.88 \ / 37.44/9.88 37.44/9.88 Remains to prove termination of the 47-rule system 37.44/9.88 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.88 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.88 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.88 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.88 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.88 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.88 3 2 4 1 4 3 2 1 2 2 -> 3 2 1 4 4 3 2 1 2 2 , 37.44/9.88 3 3 5 1 2 0 3 2 4 1 -> 3 5 0 3 1 2 3 2 4 1 , 37.44/9.88 5 1 3 4 3 0 5 2 4 2 5 -> 5 1 3 4 3 5 0 2 4 2 5 , 37.44/9.88 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.88 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.88 2 1 1 0 1 3 2 1 0 3 5 4 0 5 -> 2 1 1 0 1 3 2 0 1 3 5 4 0 5 , 37.44/9.88 2 3 2 4 3 0 5 1 3 4 1 1 5 5 5 -> 2 3 2 4 3 0 5 1 3 4 1 5 1 5 5 , 37.44/9.88 3 3 4 1 2 5 2 4 3 1 2 0 4 5 5 2 -> 3 3 4 1 2 2 5 4 3 1 2 0 4 5 5 2 , 37.44/9.88 3 4 0 3 3 1 3 1 2 1 3 3 0 2 4 2 -> 3 4 0 3 3 1 3 1 2 3 1 3 0 2 4 2 , 37.44/9.88 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.88 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.88 5 0 1 4 0 5 3 4 2 2 4 5 3 1 3 4 0 -> 5 0 1 4 0 5 3 4 2 2 4 3 5 1 3 4 0 , 37.44/9.88 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.88 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.88 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.88 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.88 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.88 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.88 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.88 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.88 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.88 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.88 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.88 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.88 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.88 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.88 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.88 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.88 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.88 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.88 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.88 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.88 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.88 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.88 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.88 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.88 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.88 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.88 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.88 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.88 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.88 37.44/9.88 37.44/9.88 The system was filtered by the following matrix interpretation 37.44/9.88 of type E_J with J = {1,...,2} and dimension 11: 37.44/9.88 37.44/9.88 0 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 \ / 37.44/9.88 1 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 \ / 37.44/9.88 2 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.88 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.88 \ / 37.44/9.88 3 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 0 1 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 \ / 37.44/9.88 4 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 \ / 37.44/9.88 5 is interpreted by 37.44/9.88 / \ 37.44/9.88 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.88 \ / 37.44/9.88 37.44/9.88 Remains to prove termination of the 46-rule system 37.44/9.88 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.88 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.88 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.88 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.88 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.88 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.88 3 3 5 1 2 0 3 2 4 1 -> 3 5 0 3 1 2 3 2 4 1 , 37.44/9.88 5 1 3 4 3 0 5 2 4 2 5 -> 5 1 3 4 3 5 0 2 4 2 5 , 37.44/9.88 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.88 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.88 2 1 1 0 1 3 2 1 0 3 5 4 0 5 -> 2 1 1 0 1 3 2 0 1 3 5 4 0 5 , 37.44/9.89 2 3 2 4 3 0 5 1 3 4 1 1 5 5 5 -> 2 3 2 4 3 0 5 1 3 4 1 5 1 5 5 , 37.44/9.89 3 3 4 1 2 5 2 4 3 1 2 0 4 5 5 2 -> 3 3 4 1 2 2 5 4 3 1 2 0 4 5 5 2 , 37.44/9.89 3 4 0 3 3 1 3 1 2 1 3 3 0 2 4 2 -> 3 4 0 3 3 1 3 1 2 3 1 3 0 2 4 2 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 5 0 1 4 0 5 3 4 2 2 4 5 3 1 3 4 0 -> 5 0 1 4 0 5 3 4 2 2 4 3 5 1 3 4 0 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 11: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 45-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 5 1 3 4 3 0 5 2 4 2 5 -> 5 1 3 4 3 5 0 2 4 2 5 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 2 1 1 0 1 3 2 1 0 3 5 4 0 5 -> 2 1 1 0 1 3 2 0 1 3 5 4 0 5 , 37.44/9.89 2 3 2 4 3 0 5 1 3 4 1 1 5 5 5 -> 2 3 2 4 3 0 5 1 3 4 1 5 1 5 5 , 37.44/9.89 3 3 4 1 2 5 2 4 3 1 2 0 4 5 5 2 -> 3 3 4 1 2 2 5 4 3 1 2 0 4 5 5 2 , 37.44/9.89 3 4 0 3 3 1 3 1 2 1 3 3 0 2 4 2 -> 3 4 0 3 3 1 3 1 2 3 1 3 0 2 4 2 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 5 0 1 4 0 5 3 4 2 2 4 5 3 1 3 4 0 -> 5 0 1 4 0 5 3 4 2 2 4 3 5 1 3 4 0 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 12: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 44-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 2 1 1 0 1 3 2 1 0 3 5 4 0 5 -> 2 1 1 0 1 3 2 0 1 3 5 4 0 5 , 37.44/9.89 2 3 2 4 3 0 5 1 3 4 1 1 5 5 5 -> 2 3 2 4 3 0 5 1 3 4 1 5 1 5 5 , 37.44/9.89 3 3 4 1 2 5 2 4 3 1 2 0 4 5 5 2 -> 3 3 4 1 2 2 5 4 3 1 2 0 4 5 5 2 , 37.44/9.89 3 4 0 3 3 1 3 1 2 1 3 3 0 2 4 2 -> 3 4 0 3 3 1 3 1 2 3 1 3 0 2 4 2 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 5 0 1 4 0 5 3 4 2 2 4 5 3 1 3 4 0 -> 5 0 1 4 0 5 3 4 2 2 4 3 5 1 3 4 0 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 15: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 43-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 2 3 2 4 3 0 5 1 3 4 1 1 5 5 5 -> 2 3 2 4 3 0 5 1 3 4 1 5 1 5 5 , 37.44/9.89 3 3 4 1 2 5 2 4 3 1 2 0 4 5 5 2 -> 3 3 4 1 2 2 5 4 3 1 2 0 4 5 5 2 , 37.44/9.89 3 4 0 3 3 1 3 1 2 1 3 3 0 2 4 2 -> 3 4 0 3 3 1 3 1 2 3 1 3 0 2 4 2 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 5 0 1 4 0 5 3 4 2 2 4 5 3 1 3 4 0 -> 5 0 1 4 0 5 3 4 2 2 4 3 5 1 3 4 0 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 16: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 42-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 3 3 4 1 2 5 2 4 3 1 2 0 4 5 5 2 -> 3 3 4 1 2 2 5 4 3 1 2 0 4 5 5 2 , 37.44/9.89 3 4 0 3 3 1 3 1 2 1 3 3 0 2 4 2 -> 3 4 0 3 3 1 3 1 2 3 1 3 0 2 4 2 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 5 0 1 4 0 5 3 4 2 2 4 5 3 1 3 4 0 -> 5 0 1 4 0 5 3 4 2 2 4 3 5 1 3 4 0 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 17: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 41-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 3 4 0 3 3 1 3 1 2 1 3 3 0 2 4 2 -> 3 4 0 3 3 1 3 1 2 3 1 3 0 2 4 2 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 5 0 1 4 0 5 3 4 2 2 4 5 3 1 3 4 0 -> 5 0 1 4 0 5 3 4 2 2 4 3 5 1 3 4 0 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 17: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 40-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 5 0 1 4 0 5 3 4 2 2 4 5 3 1 3 4 0 -> 5 0 1 4 0 5 3 4 2 2 4 3 5 1 3 4 0 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 18: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 39-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 1 3 2 3 3 0 1 5 0 2 0 5 0 4 1 1 -> 2 2 1 3 2 3 3 0 5 1 0 2 0 5 0 4 1 1 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 19: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 38-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 2 4 0 1 2 4 5 2 4 5 1 5 3 4 3 1 2 2 5 -> 2 4 0 1 4 5 2 4 1 2 5 5 4 3 2 2 1 3 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 20: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 37-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 3 5 2 4 5 2 0 1 -> 3 5 2 5 4 2 0 1 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 9: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 36-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 3 4 2 1 4 3 5 3 2 0 4 3 2 4 0 1 3 2 5 -> 3 4 2 1 3 4 5 3 2 0 4 3 2 4 0 1 3 2 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 20: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 35-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 0 4 3 0 4 0 4 1 1 0 1 4 0 4 4 3 4 4 3 0 -> 0 0 3 4 4 4 0 0 1 1 1 4 0 4 4 3 4 4 3 0 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 21: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 3 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 4 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 5 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 37.44/9.89 Remains to prove termination of the 34-rule system 37.44/9.89 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.89 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.89 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.89 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.89 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.89 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.89 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.89 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.89 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.89 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.89 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.89 1 5 0 1 5 5 4 1 0 3 1 2 3 2 3 0 4 2 3 0 -> 4 5 1 5 0 3 1 4 2 1 2 1 2 0 3 5 0 3 3 0 , 37.44/9.89 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.89 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.89 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.89 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.89 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.89 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.89 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.89 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.89 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.89 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.89 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.89 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.89 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.89 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.89 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.89 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.89 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.89 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.89 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.89 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.89 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.89 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.89 37.44/9.89 37.44/9.89 The system was filtered by the following matrix interpretation 37.44/9.89 of type E_J with J = {1,...,2} and dimension 21: 37.44/9.89 37.44/9.89 0 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 1 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.89 2 is interpreted by 37.44/9.89 / \ 37.44/9.89 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.89 \ / 37.44/9.90 3 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 4 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 5 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 37.44/9.90 Remains to prove termination of the 33-rule system 37.44/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.90 0 4 2 3 2 4 4 -> 0 4 2 2 3 4 4 , 37.44/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.90 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.90 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.90 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.90 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.90 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.90 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.90 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.90 37.44/9.90 37.44/9.90 The system was filtered by the following matrix interpretation 37.44/9.90 of type E_J with J = {1,...,2} and dimension 8: 37.44/9.90 37.44/9.90 0 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 1 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 1 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 2 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 1 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 1 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 3 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 1 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 4 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 1 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 1 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 5 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 37.44/9.90 Remains to prove termination of the 32-rule system 37.44/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.90 4 0 1 4 2 4 4 -> 4 0 1 2 4 4 4 , 37.44/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.90 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.44/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.44/9.90 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.44/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.44/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.44/9.90 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.44/9.90 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.44/9.90 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.44/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.44/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.44/9.90 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.44/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.44/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.44/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.44/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.44/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.44/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.44/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.44/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.44/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.44/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.44/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.44/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.44/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.44/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.44/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.44/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.44/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.44/9.90 37.44/9.90 37.44/9.90 The system was filtered by the following matrix interpretation 37.44/9.90 of type E_J with J = {1,...,2} and dimension 8: 37.44/9.90 37.44/9.90 0 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 1 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 1 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 1 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 2 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 1 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 3 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 4 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 1 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 1 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 1 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 5 is interpreted by 37.44/9.90 / \ 37.44/9.90 | 1 0 0 0 0 0 0 0 | 37.44/9.90 | 0 1 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 | 0 0 0 0 0 0 0 0 | 37.44/9.90 \ / 37.44/9.90 37.44/9.90 Remains to prove termination of the 31-rule system 37.44/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.44/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.44/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.44/9.90 0 0 0 3 3 2 4 2 4 3 2 4 -> 0 0 0 3 2 3 4 2 3 2 4 4 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.56/9.90 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.56/9.90 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.56/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.56/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 13: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 37.56/9.90 Remains to prove termination of the 30-rule system 37.56/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 4 1 0 5 1 4 3 4 4 1 4 0 4 4 2 -> 4 4 1 5 0 1 4 3 4 4 1 4 0 4 4 2 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.56/9.90 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.56/9.90 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.56/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.56/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 17: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 37.56/9.90 Remains to prove termination of the 29-rule system 37.56/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 2 2 0 0 3 5 4 4 1 5 4 3 2 3 2 4 5 1 5 -> 2 2 0 0 5 3 4 4 1 5 4 3 2 3 4 2 5 1 5 , 37.56/9.90 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.56/9.90 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.56/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.56/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 20: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 37.56/9.90 Remains to prove termination of the 28-rule system 37.56/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 4 3 3 3 3 4 0 4 5 2 3 2 0 1 5 4 3 5 1 0 -> 4 3 3 3 3 0 4 2 4 5 1 3 2 5 4 0 5 1 3 0 , 37.56/9.90 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.56/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.56/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 21: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 37.56/9.90 Remains to prove termination of the 27-rule system 37.56/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 4 3 5 4 0 2 3 3 4 4 2 1 0 3 1 0 2 4 0 1 1 -> 4 3 5 4 0 2 3 3 4 4 1 2 0 3 1 0 2 4 0 1 1 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.56/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.56/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 22: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 37.56/9.90 Remains to prove termination of the 26-rule system 37.56/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 4 3 5 2 1 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 -> 4 3 5 1 2 5 0 4 1 4 4 3 4 3 3 1 5 5 1 1 2 2 , 37.56/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.56/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 23: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 37.56/9.90 Remains to prove termination of the 25-rule system 37.56/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 4 5 3 3 0 1 2 2 5 3 5 4 3 3 5 1 4 2 2 0 0 1 -> 4 3 3 5 0 1 2 2 5 3 5 3 5 4 3 1 4 2 2 0 0 1 , 37.56/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 23: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 37.56/9.90 Remains to prove termination of the 24-rule system 37.56/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 0 4 2 5 5 1 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 -> 0 4 2 5 1 5 0 1 0 5 2 5 5 5 0 2 5 3 5 1 5 1 4 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 24: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 37.56/9.90 Remains to prove termination of the 23-rule system 37.56/9.90 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.90 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.90 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.90 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.90 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.90 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.90 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.90 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.90 5 2 3 0 4 3 0 3 1 5 4 3 0 3 2 0 1 1 4 2 4 1 1 -> 5 2 3 0 4 3 0 3 1 5 3 4 0 3 2 0 1 1 4 2 4 1 1 , 37.56/9.90 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.90 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.90 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.90 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.90 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.90 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.90 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.90 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.90 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.90 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.90 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.90 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.90 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.90 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.90 37.56/9.90 37.56/9.90 The system was filtered by the following matrix interpretation 37.56/9.90 of type E_J with J = {1,...,2} and dimension 24: 37.56/9.90 37.56/9.90 0 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 1 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 2 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 3 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 4 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 \ / 37.56/9.90 5 is interpreted by 37.56/9.90 / \ 37.56/9.90 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 22-rule system 37.56/9.91 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.91 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.91 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 0 1 3 0 1 1 4 1 0 4 5 3 2 0 1 1 1 5 0 2 1 0 2 5 -> 0 1 3 0 1 1 4 1 0 4 5 3 0 2 1 1 1 0 5 2 1 0 2 5 , 37.56/9.91 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.91 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.91 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.91 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 25: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 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 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 21-rule system 37.56/9.91 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.91 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.91 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 4 0 3 1 0 4 4 2 2 0 5 1 1 3 0 5 3 0 0 3 0 0 4 5 -> 4 0 3 1 0 4 4 2 2 0 5 1 3 1 0 5 3 0 0 3 0 0 4 5 , 37.56/9.91 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.91 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.91 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 25: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 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 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 20-rule system 37.56/9.91 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.91 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.91 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 3 1 3 3 3 3 0 2 5 4 2 0 0 2 0 3 1 4 2 5 3 1 2 1 -> 1 3 1 3 3 3 3 0 2 5 4 0 2 0 2 0 3 1 4 2 5 3 1 2 1 , 37.56/9.91 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.91 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 26: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 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 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 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 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 19-rule system 37.56/9.91 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.91 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.91 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 4 3 1 3 0 1 1 5 2 4 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 -> 4 3 3 1 0 1 1 5 4 2 5 0 3 2 4 2 1 4 4 5 2 3 4 5 4 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.91 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 26: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 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 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 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 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 18-rule system 37.56/9.91 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.91 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.91 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 5 0 1 1 3 2 5 5 2 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 -> 5 0 1 1 3 2 5 2 5 4 2 5 0 2 0 2 4 4 3 4 5 5 1 4 1 1 , 37.56/9.91 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 27: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 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 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 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 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 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 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 17-rule system 37.56/9.91 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.91 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.91 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 4 3 0 3 2 2 1 1 1 1 2 5 2 5 0 3 3 3 3 1 1 0 0 4 0 0 5 -> 3 4 2 3 1 0 2 1 2 1 1 2 5 0 3 0 3 1 3 5 1 3 4 0 0 0 5 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 28: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 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 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 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 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 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 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 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 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 16-rule system 37.56/9.91 { 0 1 0 2 2 3 4 -> 0 1 2 0 2 3 4 , 37.56/9.91 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.91 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 8: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 1 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 15-rule system 37.56/9.91 { 2 5 4 1 0 1 3 -> 2 5 4 0 1 1 3 , 37.56/9.91 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 8: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 1 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 14-rule system 37.56/9.91 { 5 0 0 3 0 0 4 5 3 -> 5 0 0 0 0 3 4 5 3 , 37.56/9.91 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 10: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 13-rule system 37.56/9.91 { 4 1 3 4 4 1 4 3 2 1 0 2 3 -> 4 1 3 4 4 1 4 3 2 1 2 0 3 , 37.56/9.91 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 14: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 12-rule system 37.56/9.91 { 4 3 1 5 4 4 0 4 3 0 2 2 1 3 5 3 4 -> 4 3 1 5 4 4 0 4 0 3 2 2 1 3 5 3 4 , 37.56/9.91 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 18: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 11-rule system 37.56/9.91 { 0 3 5 0 2 4 4 2 1 4 3 1 0 0 5 1 5 5 -> 0 3 5 0 2 4 4 1 2 4 3 1 0 0 5 1 5 5 , 37.56/9.91 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 19: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 5 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 37.56/9.91 Remains to prove termination of the 10-rule system 37.56/9.91 { 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 5 0 4 3 4 -> 5 5 2 3 0 2 3 3 1 5 5 5 4 2 3 5 0 5 4 3 4 , 37.56/9.91 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.91 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.91 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.91 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.91 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.91 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.91 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.91 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.91 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.91 37.56/9.91 37.56/9.91 The system was filtered by the following matrix interpretation 37.56/9.91 of type E_J with J = {1,...,2} and dimension 22: 37.56/9.91 37.56/9.91 0 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 1 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 2 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 3 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 \ / 37.56/9.91 4 is interpreted by 37.56/9.91 / \ 37.56/9.91 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.91 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 5 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 9-rule system 37.56/9.92 { 4 2 4 4 0 2 1 4 5 2 0 3 2 5 0 5 2 2 1 5 4 3 -> 4 2 4 4 0 2 1 4 5 2 3 0 2 5 0 5 2 2 1 5 4 3 , 37.56/9.92 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.92 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.92 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.92 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.92 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.92 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.92 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.92 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 23: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 1 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 2 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 3 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 4 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 5 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 8-rule system 37.56/9.92 { 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 1 0 3 2 3 -> 1 5 2 1 1 5 0 1 2 1 5 5 2 3 1 1 5 4 5 0 5 0 1 3 2 3 , 37.56/9.92 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.92 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.92 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.92 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.92 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.92 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.92 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 27: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 1 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 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 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 2 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 3 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 4 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 5 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 7-rule system 37.56/9.92 { 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 1 4 3 0 3 1 3 3 -> 5 0 0 1 4 3 1 1 2 1 5 1 1 5 3 5 0 0 4 1 3 0 3 1 3 3 , 37.56/9.92 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.92 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.92 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.92 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.92 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.92 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 27: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 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 | 37.56/9.92 | 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 1 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 2 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 3 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 4 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 5 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 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 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 6-rule system 37.56/9.92 { 1 5 4 2 4 5 2 0 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 -> 1 5 4 2 4 5 0 2 2 0 4 3 3 5 4 5 4 0 5 1 3 0 3 4 0 0 1 0 , 37.56/9.92 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.92 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.92 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.92 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.92 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 29: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 1 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 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 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 2 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 3 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 4 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 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37.56/9.92 | 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 5-rule system 37.56/9.92 { 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 4 0 1 0 2 4 3 1 1 1 2 3 2 5 -> 1 1 4 3 5 3 0 2 0 5 4 0 3 5 0 0 4 1 0 2 4 3 1 1 1 2 3 2 5 , 37.56/9.92 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.92 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.92 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.92 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 30: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 1 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 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 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 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 1 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 2 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 3 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 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37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 5 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 4-rule system 37.56/9.92 { 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 5 2 1 2 3 3 4 4 0 2 -> 2 0 2 2 1 3 1 5 1 4 2 4 0 5 4 1 5 5 3 2 5 1 2 3 3 4 4 0 2 , 37.56/9.92 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.92 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.92 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 30: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 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0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 2 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 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 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 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 | 37.56/9.92 | 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 5 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 3-rule system 37.56/9.92 { 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 5 2 2 5 4 4 4 3 -> 5 3 4 4 5 3 1 2 2 2 3 5 3 4 4 5 0 1 1 3 0 2 5 2 5 4 4 4 3 , 37.56/9.92 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.92 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 30: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 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3 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 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37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 5 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 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 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 2-rule system 37.56/9.92 { 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 0 4 3 4 4 2 2 3 1 2 4 4 4 0 -> 5 0 5 0 2 4 5 5 2 2 4 3 1 1 5 4 4 0 3 4 4 2 2 3 1 2 4 4 4 0 , 37.56/9.92 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 31: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 1-rule system 37.56/9.92 { 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 5 2 5 4 5 1 5 2 5 4 -> 5 5 4 5 2 4 3 3 1 4 5 3 5 5 2 2 2 3 4 0 2 5 5 4 5 1 5 2 5 4 } 37.56/9.92 37.56/9.92 37.56/9.92 The system was filtered by the following matrix interpretation 37.56/9.92 of type E_J with J = {1,...,2} and dimension 31: 37.56/9.92 37.56/9.92 0 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 1 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 2 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 3 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 4 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 5 is interpreted by 37.56/9.92 / \ 37.56/9.92 | 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 | 37.56/9.92 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 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 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.56/9.92 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.56/9.92 \ / 37.56/9.92 37.56/9.92 Remains to prove termination of the 0-rule system 37.56/9.92 { } 37.56/9.92 37.56/9.92 37.56/9.92 The system is trivially terminating. 37.63/9.96 EOF