23.96/6.36 YES 25.19/6.74 25.19/6.74 25.19/6.74 25.19/6.74 25.19/6.74 The system was filtered by the following matrix interpretation 25.19/6.74 of type E_J with J = {1,...,2} and dimension 2: 25.19/6.74 25.19/6.74 0 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 1 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 1 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 1 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 2 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 1 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 3 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 1 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 4 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 1 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 5 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 1 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 25.19/6.74 Remains to prove termination of the 39-rule system 25.19/6.74 { 0 1 2 0 3 2 4 5 -> 0 1 0 3 2 2 4 5 , 25.19/6.74 0 4 2 1 1 1 2 5 1 -> 0 4 2 2 1 1 5 1 1 , 25.19/6.74 0 2 3 1 0 1 5 3 5 2 -> 0 2 1 3 0 1 5 3 5 2 , 25.19/6.74 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.74 4 4 4 5 0 4 2 1 1 0 -> 3 2 2 0 5 5 2 4 2 0 , 25.19/6.74 2 1 0 3 1 3 5 0 4 0 2 1 -> 2 1 0 3 1 3 5 4 0 0 2 1 , 25.19/6.74 2 3 1 3 5 0 4 5 5 0 2 3 -> 2 3 1 3 5 4 0 5 5 0 2 3 , 25.19/6.74 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.74 2 0 0 5 2 1 3 5 1 3 2 4 0 -> 2 0 0 2 5 1 3 5 1 3 2 4 0 , 25.19/6.74 4 2 3 4 3 0 0 3 4 5 2 2 4 -> 4 2 4 3 3 0 0 3 4 5 2 2 4 , 25.19/6.74 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.74 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.74 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.74 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.74 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.74 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.74 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.74 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.74 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.74 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.74 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.74 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.74 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.74 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.74 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.74 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.74 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.74 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.74 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.74 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.74 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.74 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.74 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.74 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.74 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.74 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.74 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.74 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.74 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.74 25.19/6.74 25.19/6.74 The system was filtered by the following matrix interpretation 25.19/6.74 of type E_J with J = {1,...,2} and dimension 2: 25.19/6.74 25.19/6.74 0 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 1 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 1 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 2 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 3 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 4 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 5 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 | 25.19/6.74 | 0 1 | 25.19/6.74 \ / 25.19/6.74 25.19/6.74 Remains to prove termination of the 38-rule system 25.19/6.74 { 0 1 2 0 3 2 4 5 -> 0 1 0 3 2 2 4 5 , 25.19/6.74 0 4 2 1 1 1 2 5 1 -> 0 4 2 2 1 1 5 1 1 , 25.19/6.74 0 2 3 1 0 1 5 3 5 2 -> 0 2 1 3 0 1 5 3 5 2 , 25.19/6.74 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.74 2 1 0 3 1 3 5 0 4 0 2 1 -> 2 1 0 3 1 3 5 4 0 0 2 1 , 25.19/6.74 2 3 1 3 5 0 4 5 5 0 2 3 -> 2 3 1 3 5 4 0 5 5 0 2 3 , 25.19/6.74 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.74 2 0 0 5 2 1 3 5 1 3 2 4 0 -> 2 0 0 2 5 1 3 5 1 3 2 4 0 , 25.19/6.74 4 2 3 4 3 0 0 3 4 5 2 2 4 -> 4 2 4 3 3 0 0 3 4 5 2 2 4 , 25.19/6.74 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.74 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.74 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.74 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.74 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.74 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.74 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.74 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.74 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.74 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.74 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.74 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.74 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.74 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.74 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.74 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.74 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.74 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.74 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.74 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.74 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.74 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.74 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.74 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.74 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.74 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.74 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.74 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.74 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.74 25.19/6.74 25.19/6.74 The system was filtered by the following matrix interpretation 25.19/6.74 of type E_J with J = {1,...,2} and dimension 9: 25.19/6.74 25.19/6.74 0 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 1 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 1 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 1 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 1 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 2 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 1 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 1 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 3 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 1 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 4 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 1 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 5 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 25.19/6.74 Remains to prove termination of the 37-rule system 25.19/6.74 { 0 4 2 1 1 1 2 5 1 -> 0 4 2 2 1 1 5 1 1 , 25.19/6.74 0 2 3 1 0 1 5 3 5 2 -> 0 2 1 3 0 1 5 3 5 2 , 25.19/6.74 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.74 2 1 0 3 1 3 5 0 4 0 2 1 -> 2 1 0 3 1 3 5 4 0 0 2 1 , 25.19/6.74 2 3 1 3 5 0 4 5 5 0 2 3 -> 2 3 1 3 5 4 0 5 5 0 2 3 , 25.19/6.74 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.74 2 0 0 5 2 1 3 5 1 3 2 4 0 -> 2 0 0 2 5 1 3 5 1 3 2 4 0 , 25.19/6.74 4 2 3 4 3 0 0 3 4 5 2 2 4 -> 4 2 4 3 3 0 0 3 4 5 2 2 4 , 25.19/6.74 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.74 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.74 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.74 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.74 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.74 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.74 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.74 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.74 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.74 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.74 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.74 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.74 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.74 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.74 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.74 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.74 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.74 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.74 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.74 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.74 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.74 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.74 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.74 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.74 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.74 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.74 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.74 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.74 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.74 25.19/6.74 25.19/6.74 The system was filtered by the following matrix interpretation 25.19/6.74 of type E_J with J = {1,...,2} and dimension 10: 25.19/6.74 25.19/6.74 0 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 1 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 1 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 1 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 1 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 2 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 1 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 1 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 3 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 4 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 1 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 5 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 1 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 25.19/6.74 Remains to prove termination of the 36-rule system 25.19/6.74 { 0 2 3 1 0 1 5 3 5 2 -> 0 2 1 3 0 1 5 3 5 2 , 25.19/6.74 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.74 2 1 0 3 1 3 5 0 4 0 2 1 -> 2 1 0 3 1 3 5 4 0 0 2 1 , 25.19/6.74 2 3 1 3 5 0 4 5 5 0 2 3 -> 2 3 1 3 5 4 0 5 5 0 2 3 , 25.19/6.74 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.74 2 0 0 5 2 1 3 5 1 3 2 4 0 -> 2 0 0 2 5 1 3 5 1 3 2 4 0 , 25.19/6.74 4 2 3 4 3 0 0 3 4 5 2 2 4 -> 4 2 4 3 3 0 0 3 4 5 2 2 4 , 25.19/6.74 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.74 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.74 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.74 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.74 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.74 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.74 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.74 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.74 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.74 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.74 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.74 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.74 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.74 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.74 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.74 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.74 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.74 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.74 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.74 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.74 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.74 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.74 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.74 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.74 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.74 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.74 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.74 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.74 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.74 25.19/6.74 25.19/6.74 The system was filtered by the following matrix interpretation 25.19/6.74 of type E_J with J = {1,...,2} and dimension 11: 25.19/6.74 25.19/6.74 0 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 1 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 2 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 3 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 4 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 5 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 25.19/6.74 Remains to prove termination of the 35-rule system 25.19/6.74 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.74 2 1 0 3 1 3 5 0 4 0 2 1 -> 2 1 0 3 1 3 5 4 0 0 2 1 , 25.19/6.74 2 3 1 3 5 0 4 5 5 0 2 3 -> 2 3 1 3 5 4 0 5 5 0 2 3 , 25.19/6.74 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.74 2 0 0 5 2 1 3 5 1 3 2 4 0 -> 2 0 0 2 5 1 3 5 1 3 2 4 0 , 25.19/6.74 4 2 3 4 3 0 0 3 4 5 2 2 4 -> 4 2 4 3 3 0 0 3 4 5 2 2 4 , 25.19/6.74 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.74 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.74 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.74 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.74 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.74 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.74 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.74 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.74 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.74 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.74 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.74 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.74 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.74 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.74 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.74 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.74 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.74 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.74 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.74 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.74 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.74 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.74 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.74 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.74 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.74 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.74 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.74 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.74 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.74 25.19/6.74 25.19/6.74 The system was filtered by the following matrix interpretation 25.19/6.74 of type E_J with J = {1,...,2} and dimension 13: 25.19/6.74 25.19/6.74 0 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 1 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 2 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 3 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 4 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 5 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 25.19/6.74 Remains to prove termination of the 34-rule system 25.19/6.74 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.74 2 3 1 3 5 0 4 5 5 0 2 3 -> 2 3 1 3 5 4 0 5 5 0 2 3 , 25.19/6.74 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.74 2 0 0 5 2 1 3 5 1 3 2 4 0 -> 2 0 0 2 5 1 3 5 1 3 2 4 0 , 25.19/6.74 4 2 3 4 3 0 0 3 4 5 2 2 4 -> 4 2 4 3 3 0 0 3 4 5 2 2 4 , 25.19/6.74 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.74 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.74 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.74 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.74 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.74 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.74 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.74 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.74 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.74 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.74 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.74 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.74 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.74 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.74 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.74 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.74 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.74 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.74 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.74 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.74 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.74 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.74 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.74 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.74 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.74 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.74 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.74 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.74 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.74 25.19/6.74 25.19/6.74 The system was filtered by the following matrix interpretation 25.19/6.74 of type E_J with J = {1,...,2} and dimension 13: 25.19/6.74 25.19/6.74 0 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 1 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 2 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 3 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 4 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 5 is interpreted by 25.19/6.74 / \ 25.19/6.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.74 \ / 25.19/6.74 25.19/6.74 Remains to prove termination of the 33-rule system 25.19/6.74 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.74 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.74 2 0 0 5 2 1 3 5 1 3 2 4 0 -> 2 0 0 2 5 1 3 5 1 3 2 4 0 , 25.19/6.74 4 2 3 4 3 0 0 3 4 5 2 2 4 -> 4 2 4 3 3 0 0 3 4 5 2 2 4 , 25.19/6.74 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.74 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.74 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.74 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.74 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.74 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.74 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.74 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.74 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.74 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 14: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 32-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 4 2 3 4 3 0 0 3 4 5 2 2 4 -> 4 2 4 3 3 0 0 3 4 5 2 2 4 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.75 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.75 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.75 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.75 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 14: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 31-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 2 4 1 0 4 0 0 0 1 0 4 3 1 4 -> 2 4 1 4 0 0 0 0 1 0 4 3 1 4 , 25.19/6.75 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.75 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.75 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.75 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 15: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 30-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 4 1 0 4 2 1 3 3 3 0 0 4 1 5 -> 4 1 4 0 2 1 3 3 3 0 0 4 1 5 , 25.19/6.75 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.75 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.75 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 15: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 29-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 0 5 2 2 1 0 2 3 4 0 5 3 5 0 5 -> 0 5 2 2 1 0 2 3 4 0 3 5 5 0 5 , 25.19/6.75 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.75 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 16: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 28-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 2 5 0 5 0 3 4 4 2 1 2 2 2 1 2 -> 2 5 0 5 0 3 4 4 1 2 2 2 2 1 2 , 25.19/6.75 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 16: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 27-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 3 4 3 4 2 0 0 4 4 3 2 3 3 3 2 -> 3 4 3 4 0 2 0 4 4 3 2 3 3 3 2 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 16: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 26-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 5 2 4 1 1 5 0 2 0 0 3 0 2 5 2 4 2 -> 5 2 0 1 3 0 5 5 2 0 0 2 4 4 1 2 2 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 18: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 25-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 2 4 3 2 1 2 1 4 5 0 0 5 2 1 4 4 4 1 0 -> 2 4 3 2 1 2 1 4 5 0 0 2 5 1 4 4 4 1 0 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 20: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 24-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 3 3 5 2 0 4 5 3 1 5 0 5 5 5 0 0 4 5 0 2 -> 3 3 5 2 0 4 5 3 5 1 0 5 5 5 0 0 4 5 0 2 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 21: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 23-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 4 3 0 1 3 5 3 0 4 3 2 5 2 3 2 3 0 3 2 3 -> 4 3 0 1 3 5 3 0 4 3 2 5 2 3 3 2 0 3 2 3 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 21: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 22-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 0 1 4 2 1 0 3 5 4 4 2 0 4 2 4 3 3 1 1 4 0 3 -> 0 1 4 2 1 0 3 5 4 4 2 4 0 2 4 3 3 1 1 4 0 3 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 23: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 25.19/6.75 Remains to prove termination of the 21-rule system 25.19/6.75 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.75 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.75 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.75 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.75 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.75 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.75 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 2 3 1 2 5 1 5 -> 3 2 2 4 5 4 1 4 3 5 5 3 0 5 3 3 3 1 2 2 5 5 1 , 25.19/6.75 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.75 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.75 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.75 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.75 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.75 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.75 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.75 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.75 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.75 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.75 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.75 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.75 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.75 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.75 25.19/6.75 25.19/6.75 The system was filtered by the following matrix interpretation 25.19/6.75 of type E_J with J = {1,...,2} and dimension 24: 25.19/6.75 25.19/6.75 0 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 1 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 2 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 3 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 4 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 \ / 25.19/6.75 5 is interpreted by 25.19/6.75 / \ 25.19/6.75 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.75 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 20-rule system 25.19/6.76 { 1 2 2 0 5 3 2 5 0 4 -> 1 2 2 5 0 3 2 5 0 4 , 25.19/6.76 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.76 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.76 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.76 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.76 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.76 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.76 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.76 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 11: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 19-rule system 25.19/6.76 { 1 3 2 3 4 3 5 1 5 5 1 5 1 -> 1 3 2 3 4 3 5 5 1 5 1 5 1 , 25.19/6.76 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.76 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.76 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.76 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.76 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.76 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.76 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 14: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 18-rule system 25.19/6.76 { 1 2 5 1 5 4 1 3 2 1 3 3 3 5 -> 1 2 5 1 1 4 5 2 3 3 1 3 3 5 , 25.19/6.76 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.76 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.76 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.76 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.76 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.76 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 15: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 17-rule system 25.19/6.76 { 1 4 1 4 1 2 3 3 1 2 1 1 3 4 1 3 -> 1 4 1 4 1 2 3 3 2 1 1 1 3 4 1 3 , 25.19/6.76 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.76 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.76 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.76 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.76 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 17: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 16-rule system 25.19/6.76 { 1 2 1 2 4 2 3 4 0 0 0 2 0 0 2 4 5 5 -> 1 2 1 4 2 2 3 4 0 0 0 2 0 0 2 4 5 5 , 25.19/6.76 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.76 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.76 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.76 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 19: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 15-rule system 25.19/6.76 { 1 2 2 1 2 4 1 3 0 2 5 4 2 1 3 1 2 1 0 3 1 3 1 -> 1 2 2 2 1 1 4 3 2 0 1 5 4 2 3 1 2 1 0 3 1 3 1 , 25.19/6.76 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.76 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.76 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 24: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 14-rule system 25.19/6.76 { 4 1 0 1 4 2 5 0 3 1 1 4 3 0 4 4 0 2 5 3 0 2 0 2 -> 4 1 4 1 0 2 5 3 0 1 1 4 0 3 4 0 4 5 2 3 0 0 2 2 , 25.19/6.76 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.76 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 25: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 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 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 13-rule system 25.19/6.76 { 0 4 2 5 3 5 5 1 5 3 0 4 5 2 0 5 2 5 2 3 0 2 0 1 5 5 -> 0 4 2 5 3 5 1 5 5 3 0 4 2 5 0 5 2 5 2 3 0 2 0 1 5 5 , 25.19/6.76 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 27: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 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 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 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 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 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 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 12-rule system 25.19/6.76 { 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 5 4 2 3 3 3 -> 2 0 4 0 0 1 3 1 2 3 3 1 0 5 2 0 4 0 3 2 4 5 2 3 3 3 , 25.19/6.76 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 27: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 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 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 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 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 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 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 11-rule system 25.19/6.76 { 2 1 5 1 2 4 4 3 3 1 0 1 0 4 5 4 3 1 0 1 5 1 1 0 3 5 -> 2 1 5 1 2 4 4 3 3 1 1 0 0 4 5 4 3 1 0 1 5 1 1 0 3 5 , 25.19/6.76 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 27: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 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 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 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 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 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 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 25.19/6.76 Remains to prove termination of the 10-rule system 25.19/6.76 { 2 2 1 0 1 4 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 -> 2 2 1 0 4 1 2 2 0 5 5 0 5 4 3 0 4 3 1 5 3 1 5 1 0 2 , 25.19/6.76 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.76 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.76 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.76 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.76 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.76 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.76 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.76 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.76 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.76 25.19/6.76 25.19/6.76 The system was filtered by the following matrix interpretation 25.19/6.76 of type E_J with J = {1,...,2} and dimension 27: 25.19/6.76 25.19/6.76 0 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 1 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 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 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 2 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 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 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 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 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 3 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 4 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 \ / 25.19/6.76 5 is interpreted by 25.19/6.76 / \ 25.19/6.76 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.76 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 9-rule system 25.19/6.77 { 3 1 1 4 3 0 2 3 0 3 2 4 1 3 4 1 5 5 0 5 0 5 4 3 5 2 -> 3 1 1 3 4 0 2 3 0 3 2 4 1 3 4 1 5 5 0 0 5 5 4 3 5 2 , 25.19/6.77 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.77 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.77 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.77 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.77 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.77 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.77 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.77 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 27: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 8-rule system 25.19/6.77 { 5 4 1 1 1 5 4 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 -> 5 4 1 1 1 4 5 1 4 1 5 0 1 0 1 1 0 5 3 1 1 5 2 5 4 4 , 25.19/6.77 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.77 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.77 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.77 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.77 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.77 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.77 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 27: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 7-rule system 25.19/6.77 { 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 3 2 0 1 2 5 4 2 5 4 3 -> 1 5 2 3 3 4 2 4 1 3 3 0 5 2 2 0 2 3 0 1 2 5 4 2 5 4 3 , 25.19/6.77 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.77 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.77 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.77 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.77 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.77 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 28: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 6-rule system 25.19/6.77 { 3 4 4 0 2 4 5 3 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 -> 3 4 4 0 2 4 3 5 4 5 2 4 2 4 0 3 5 3 0 0 1 4 2 4 5 5 2 , 25.19/6.77 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.77 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.77 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.77 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.77 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 28: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 5-rule system 25.19/6.77 { 4 5 0 4 1 5 2 2 1 1 4 1 5 4 5 4 4 2 3 0 2 2 3 0 4 0 4 -> 4 5 1 4 5 2 1 2 5 4 1 4 1 0 5 0 4 3 0 3 4 2 2 2 4 0 4 , 25.19/6.77 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.77 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.77 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.77 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 28: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 4-rule system 25.19/6.77 { 3 0 1 1 5 5 0 3 5 3 2 3 2 0 1 2 5 0 2 1 0 3 5 5 2 5 1 5 -> 3 0 1 1 5 5 0 3 5 3 3 2 0 2 1 5 2 0 2 0 3 1 5 2 5 5 1 5 , 25.19/6.77 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.77 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.77 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 29: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 3-rule system 25.19/6.77 { 3 1 3 2 3 0 5 5 3 0 2 1 1 2 1 3 1 0 4 0 4 2 2 5 0 1 1 2 -> 3 1 3 2 3 0 5 5 3 0 2 1 2 1 1 3 1 0 4 0 4 2 2 5 0 1 1 2 , 25.19/6.77 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.77 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 29: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 2-rule system 25.19/6.77 { 0 0 5 5 2 5 3 1 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 -> 0 0 5 5 2 5 1 3 3 4 0 3 0 3 5 3 4 0 4 0 2 3 2 3 3 1 0 2 2 , 25.19/6.77 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 30: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 1-rule system 25.19/6.77 { 1 1 2 1 5 5 4 5 2 5 4 0 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 -> 1 1 2 1 5 5 4 5 2 5 0 4 4 2 2 3 5 1 3 1 0 2 0 4 2 3 5 3 5 } 25.19/6.77 25.19/6.77 25.19/6.77 The system was filtered by the following matrix interpretation 25.19/6.77 of type E_J with J = {1,...,2} and dimension 30: 25.19/6.77 25.19/6.77 0 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 1 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 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 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 2 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 3 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 4 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 5 is interpreted by 25.19/6.77 / \ 25.19/6.77 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 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 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 25.19/6.77 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 25.19/6.77 \ / 25.19/6.77 25.19/6.77 Remains to prove termination of the 0-rule system 25.19/6.77 { } 25.19/6.77 25.19/6.77 25.19/6.77 The system is trivially terminating. 25.34/6.83 EOF