30.27/7.97 YES 31.64/8.42 31.64/8.42 31.64/8.42 31.64/8.42 31.64/8.42 The system was filtered by the following matrix interpretation 31.64/8.42 of type E_J with J = {1,...,2} and dimension 2: 31.64/8.42 31.64/8.42 0 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 1 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 1 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 1 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 2 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 1 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 3 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 1 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 4 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 1 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 5 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 1 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 31.64/8.42 Remains to prove termination of the 47-rule system 31.64/8.42 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.42 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.42 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.42 0 4 5 0 5 0 0 2 4 -> 0 4 0 5 5 0 0 2 4 , 31.64/8.42 0 3 1 2 0 0 3 0 4 3 -> 1 1 1 5 0 1 0 3 3 4 , 31.64/8.42 2 2 0 3 5 4 0 2 1 0 -> 2 1 1 5 5 1 0 3 0 4 , 31.64/8.42 3 5 4 4 2 1 4 0 5 4 -> 3 1 1 5 5 2 1 1 0 4 , 31.64/8.42 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.42 1 1 5 1 2 5 2 5 4 4 3 -> 1 1 5 4 5 4 1 5 2 2 3 , 31.64/8.42 1 2 0 2 3 2 3 2 4 3 3 -> 1 2 0 3 2 2 3 2 4 3 3 , 31.64/8.42 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.42 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.42 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.42 2 0 1 1 2 1 2 4 2 3 2 4 3 -> 2 0 2 1 1 1 2 3 2 4 2 4 3 , 31.64/8.42 5 2 2 1 1 4 4 5 4 2 5 4 5 -> 5 2 2 1 1 4 4 5 2 4 5 4 5 , 31.64/8.42 0 5 3 5 1 2 1 2 0 0 2 2 3 5 -> 0 5 3 1 5 2 1 2 0 0 2 2 3 5 , 31.64/8.42 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.42 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.42 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.42 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.42 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.42 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.42 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.42 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.42 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.42 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.42 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.42 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.42 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.42 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.42 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.42 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.42 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.42 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.42 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.42 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.42 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.42 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.42 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.42 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.42 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.42 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.42 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.42 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.42 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.42 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.42 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.42 31.64/8.42 31.64/8.42 The system was filtered by the following matrix interpretation 31.64/8.42 of type E_J with J = {1,...,2} and dimension 2: 31.64/8.42 31.64/8.42 0 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 1 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 1 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 2 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 3 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 4 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 5 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 31.64/8.42 Remains to prove termination of the 45-rule system 31.64/8.42 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.42 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.42 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.42 0 4 5 0 5 0 0 2 4 -> 0 4 0 5 5 0 0 2 4 , 31.64/8.42 3 5 4 4 2 1 4 0 5 4 -> 3 1 1 5 5 2 1 1 0 4 , 31.64/8.42 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.42 1 1 5 1 2 5 2 5 4 4 3 -> 1 1 5 4 5 4 1 5 2 2 3 , 31.64/8.42 1 2 0 2 3 2 3 2 4 3 3 -> 1 2 0 3 2 2 3 2 4 3 3 , 31.64/8.42 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.42 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.42 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.42 2 0 1 1 2 1 2 4 2 3 2 4 3 -> 2 0 2 1 1 1 2 3 2 4 2 4 3 , 31.64/8.42 5 2 2 1 1 4 4 5 4 2 5 4 5 -> 5 2 2 1 1 4 4 5 2 4 5 4 5 , 31.64/8.42 0 5 3 5 1 2 1 2 0 0 2 2 3 5 -> 0 5 3 1 5 2 1 2 0 0 2 2 3 5 , 31.64/8.42 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.42 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.42 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.42 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.42 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.42 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.42 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.42 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.42 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.42 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.42 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.42 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.42 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.42 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.42 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.42 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.42 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.42 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.42 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.42 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.42 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.42 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.42 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.42 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.42 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.42 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.42 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.42 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.42 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.42 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.42 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.42 31.64/8.42 31.64/8.42 The system was filtered by the following matrix interpretation 31.64/8.42 of type E_J with J = {1,...,2} and dimension 2: 31.64/8.42 31.64/8.42 0 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 1 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 2 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 3 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 4 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 1 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 5 is interpreted by 31.64/8.42 / \ 31.64/8.42 | 1 0 | 31.64/8.42 | 0 1 | 31.64/8.42 \ / 31.64/8.42 31.64/8.42 Remains to prove termination of the 44-rule system 31.64/8.42 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.42 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.42 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.42 0 4 5 0 5 0 0 2 4 -> 0 4 0 5 5 0 0 2 4 , 31.64/8.42 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.42 1 1 5 1 2 5 2 5 4 4 3 -> 1 1 5 4 5 4 1 5 2 2 3 , 31.64/8.42 1 2 0 2 3 2 3 2 4 3 3 -> 1 2 0 3 2 2 3 2 4 3 3 , 31.64/8.42 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.42 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.42 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.42 2 0 1 1 2 1 2 4 2 3 2 4 3 -> 2 0 2 1 1 1 2 3 2 4 2 4 3 , 31.64/8.42 5 2 2 1 1 4 4 5 4 2 5 4 5 -> 5 2 2 1 1 4 4 5 2 4 5 4 5 , 31.64/8.42 0 5 3 5 1 2 1 2 0 0 2 2 3 5 -> 0 5 3 1 5 2 1 2 0 0 2 2 3 5 , 31.64/8.42 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.42 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.42 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.42 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.42 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.42 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.42 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.42 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.42 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.42 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.42 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.42 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.42 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.42 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.42 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.42 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.42 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.42 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.42 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.42 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.42 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.42 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.42 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.42 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.42 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.42 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.42 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.42 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.42 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.42 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.42 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.42 31.64/8.42 31.64/8.42 The system was filtered by the following matrix interpretation 31.64/8.42 of type E_J with J = {1,...,2} and dimension 10: 31.64/8.42 31.64/8.42 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 43-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 1 5 1 2 5 2 5 4 4 3 -> 1 1 5 4 5 4 1 5 2 2 3 , 31.64/8.43 1 2 0 2 3 2 3 2 4 3 3 -> 1 2 0 3 2 2 3 2 4 3 3 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 2 0 1 1 2 1 2 4 2 3 2 4 3 -> 2 0 2 1 1 1 2 3 2 4 2 4 3 , 31.64/8.43 5 2 2 1 1 4 4 5 4 2 5 4 5 -> 5 2 2 1 1 4 4 5 2 4 5 4 5 , 31.64/8.43 0 5 3 5 1 2 1 2 0 0 2 2 3 5 -> 0 5 3 1 5 2 1 2 0 0 2 2 3 5 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.43 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 12: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 42-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 2 3 2 3 2 4 3 3 -> 1 2 0 3 2 2 3 2 4 3 3 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 2 0 1 1 2 1 2 4 2 3 2 4 3 -> 2 0 2 1 1 1 2 3 2 4 2 4 3 , 31.64/8.43 5 2 2 1 1 4 4 5 4 2 5 4 5 -> 5 2 2 1 1 4 4 5 2 4 5 4 5 , 31.64/8.43 0 5 3 5 1 2 1 2 0 0 2 2 3 5 -> 0 5 3 1 5 2 1 2 0 0 2 2 3 5 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.43 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 12: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 41-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 2 0 1 1 2 1 2 4 2 3 2 4 3 -> 2 0 2 1 1 1 2 3 2 4 2 4 3 , 31.64/8.43 5 2 2 1 1 4 4 5 4 2 5 4 5 -> 5 2 2 1 1 4 4 5 2 4 5 4 5 , 31.64/8.43 0 5 3 5 1 2 1 2 0 0 2 2 3 5 -> 0 5 3 1 5 2 1 2 0 0 2 2 3 5 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.43 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 14: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 40-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 5 2 2 1 1 4 4 5 4 2 5 4 5 -> 5 2 2 1 1 4 4 5 2 4 5 4 5 , 31.64/8.43 0 5 3 5 1 2 1 2 0 0 2 2 3 5 -> 0 5 3 1 5 2 1 2 0 0 2 2 3 5 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.43 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 14: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 39-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 0 5 3 5 1 2 1 2 0 0 2 2 3 5 -> 0 5 3 1 5 2 1 2 0 0 2 2 3 5 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.43 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 15: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 38-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 5 0 1 2 5 5 1 5 1 3 3 2 4 4 3 -> 5 1 5 0 2 1 5 3 4 1 5 3 2 4 3 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.43 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 16: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 37-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 1 1 0 2 4 5 5 1 4 3 5 1 1 4 4 4 -> 4 1 1 0 2 4 5 5 1 4 3 1 5 1 4 4 4 , 31.64/8.43 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 18: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 36-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 5 0 1 4 2 5 1 3 2 0 3 3 0 3 5 1 4 -> 5 1 0 2 4 5 1 3 2 0 3 3 0 3 5 1 4 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 18: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 35-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 5 5 5 2 5 4 2 4 5 2 1 1 2 0 5 1 4 -> 4 5 5 5 2 4 5 2 4 5 2 1 1 2 0 5 1 4 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 19: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 34-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 0 4 4 2 4 3 2 2 0 5 3 3 0 2 0 3 4 3 3 -> 0 4 4 2 4 3 2 2 0 5 3 3 2 0 0 3 4 3 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 20: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 33-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 4 2 1 2 2 1 5 4 1 4 1 5 0 0 0 4 5 1 4 -> 4 1 2 2 2 1 5 4 4 1 1 5 0 0 0 4 5 1 4 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 20: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 32-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 1 2 3 1 2 4 1 -> 1 2 1 3 2 4 1 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 8: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 1 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 5 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 31.64/8.43 Remains to prove termination of the 31-rule system 31.64/8.43 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.43 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.43 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.43 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.43 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.43 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.43 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.43 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.43 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.43 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.43 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.43 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.43 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.43 5 3 4 4 3 1 3 4 2 5 3 4 4 5 5 2 0 3 1 3 3 -> 5 3 4 4 3 1 3 2 4 3 5 4 4 5 5 2 0 1 3 3 3 , 31.64/8.43 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.43 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.43 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.43 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.43 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.43 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.43 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.43 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.43 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.43 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.43 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.43 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.43 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.43 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.43 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.43 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.43 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.43 31.64/8.43 31.64/8.43 The system was filtered by the following matrix interpretation 31.64/8.43 of type E_J with J = {1,...,2} and dimension 22: 31.64/8.43 31.64/8.43 0 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 1 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 2 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 3 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 \ / 31.64/8.43 4 is interpreted by 31.64/8.43 / \ 31.64/8.43 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.43 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 30-rule system 31.64/8.44 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.44 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.44 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.44 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 1 4 1 5 5 1 1 5 4 4 3 1 3 5 0 3 5 0 1 2 0 1 -> 1 4 5 1 1 5 5 1 4 4 1 3 3 3 0 5 5 0 1 0 2 1 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.44 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 23: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 29-rule system 31.64/8.44 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.44 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.44 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.44 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 4 5 2 2 1 3 4 1 2 4 0 1 2 0 4 4 4 4 5 1 5 3 5 -> 4 5 2 2 1 3 4 1 2 4 1 0 2 0 4 4 4 4 5 1 5 3 5 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.44 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 24: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 28-rule system 31.64/8.44 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.44 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.44 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.44 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 0 1 3 2 5 0 0 4 -> 4 3 5 0 4 3 4 0 1 0 1 5 5 3 3 5 1 0 3 2 5 0 0 4 , 31.64/8.44 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 25: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 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 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 27-rule system 31.64/8.44 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.44 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.44 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.44 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 3 2 0 2 2 0 2 2 5 1 1 5 4 1 4 2 1 0 4 1 4 3 0 0 1 -> 0 3 2 2 2 0 2 2 1 4 5 1 5 1 4 2 1 0 4 1 4 3 0 0 1 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 26: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 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 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 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 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 26-rule system 31.64/8.44 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.44 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.44 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 1 2 0 5 4 0 3 4 0 3 0 -> 2 1 0 5 4 0 3 4 0 3 0 , 31.64/8.44 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 12: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 25-rule system 31.64/8.44 { 0 1 2 3 1 2 -> 0 1 3 2 1 2 , 31.64/8.44 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.44 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 7: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 24-rule system 31.64/8.44 { 0 4 5 1 1 2 4 2 -> 0 4 1 5 1 2 4 2 , 31.64/8.44 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 9: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 23-rule system 31.64/8.44 { 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 2 3 2 3 2 0 0 1 2 0 2 -> 2 3 2 1 3 2 0 0 2 0 2 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 12: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 22-rule system 31.64/8.44 { 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 1 2 4 0 0 2 4 1 4 0 4 1 -> 1 0 4 4 2 2 0 1 4 0 4 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 13: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 21-rule system 31.64/8.44 { 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 1 3 3 3 3 5 3 1 2 3 5 3 2 0 -> 1 3 3 3 3 5 1 3 2 3 5 3 2 0 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 15: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 20-rule system 31.64/8.44 { 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 2 0 1 2 2 5 2 3 2 3 0 0 4 1 -> 2 1 0 5 2 2 0 2 3 2 3 0 4 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 15: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 19-rule system 31.64/8.44 { 4 0 4 4 3 0 5 3 2 1 -> 4 0 4 3 4 3 5 0 2 1 , 31.64/8.44 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 11: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 18-rule system 31.64/8.44 { 0 2 3 3 3 3 0 3 5 3 1 0 1 3 5 2 -> 0 2 3 3 3 3 0 3 3 1 5 0 1 3 5 2 , 31.64/8.44 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 17: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 31.64/8.44 Remains to prove termination of the 17-rule system 31.64/8.44 { 3 5 4 4 2 5 1 2 4 1 5 3 5 2 2 2 -> 3 5 4 4 5 2 1 2 4 1 5 3 5 2 2 2 , 31.64/8.44 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.44 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.44 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.44 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.44 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.44 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.44 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.44 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.44 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.44 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.44 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.44 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.44 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.44 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.44 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.44 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.44 31.64/8.44 31.64/8.44 The system was filtered by the following matrix interpretation 31.64/8.44 of type E_J with J = {1,...,2} and dimension 17: 31.64/8.44 31.64/8.44 0 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 1 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 2 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 3 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 4 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.44 5 is interpreted by 31.64/8.44 / \ 31.64/8.44 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.44 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 16-rule system 31.64/8.45 { 1 2 5 3 2 5 0 4 4 1 2 1 1 4 0 4 2 -> 1 2 5 3 5 2 0 4 4 1 2 1 1 4 0 4 2 , 31.64/8.45 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.45 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.45 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.45 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.45 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.45 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.45 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 18: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 15-rule system 31.64/8.45 { 1 4 4 2 3 2 3 3 3 0 3 3 4 0 2 4 0 -> 1 4 4 2 3 2 3 3 0 3 3 3 4 0 2 4 0 , 31.64/8.45 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.45 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.45 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.45 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.45 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.45 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 18: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 14-rule system 31.64/8.45 { 4 0 5 5 0 3 3 2 3 3 0 3 5 2 4 1 0 3 -> 4 0 5 5 0 3 3 2 3 3 0 3 5 4 2 1 0 3 , 31.64/8.45 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.45 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.45 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.45 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.45 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 19: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 13-rule system 31.64/8.45 { 2 4 1 4 2 2 2 5 2 4 3 1 5 0 0 1 2 3 4 3 0 3 -> 2 4 1 4 2 2 2 4 5 2 3 1 5 1 0 0 4 2 3 3 0 3 , 31.64/8.45 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.45 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.45 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.45 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 23: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 12-rule system 31.64/8.45 { 0 4 3 3 5 1 4 5 0 2 3 3 0 0 3 0 1 4 5 4 0 4 0 -> 0 4 3 3 4 0 0 5 1 3 3 5 3 0 0 1 2 4 4 5 0 4 0 , 31.64/8.45 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.45 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.45 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 24: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 11-rule system 31.64/8.45 { 4 3 1 3 3 0 3 0 3 1 2 4 2 1 1 5 2 4 3 3 1 1 0 -> 4 3 1 3 3 0 3 0 3 1 2 2 4 1 1 5 2 4 3 3 1 1 0 , 31.64/8.45 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.45 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 24: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 10-rule system 31.64/8.45 { 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 2 4 0 5 0 1 4 1 5 4 3 0 4 2 3 1 4 4 3 3 0 1 1 0 -> 2 4 0 5 0 1 4 1 5 4 3 0 4 3 2 1 4 4 3 3 0 1 1 0 , 31.64/8.45 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 25: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 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 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 9-rule system 31.64/8.45 { 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 4 5 3 3 4 1 0 1 5 3 5 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 -> 4 5 3 3 4 1 0 1 5 5 3 4 5 1 5 0 3 1 5 2 1 3 0 1 2 3 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 27: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 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 | 31.64/8.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 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 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 8-rule system 31.64/8.45 { 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 4 3 2 4 1 0 -> 0 2 3 5 4 3 2 5 4 0 2 3 3 2 3 5 5 3 3 0 2 3 4 2 4 1 0 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 28: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 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 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 7-rule system 31.64/8.45 { 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 1 4 1 4 5 2 1 3 5 1 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 -> 1 4 1 4 5 2 1 3 1 5 5 1 1 0 5 5 3 1 0 0 5 3 4 3 2 0 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 28: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 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 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 3 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 4 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 5 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 31.64/8.45 Remains to prove termination of the 6-rule system 31.64/8.45 { 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.64/8.45 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 1 4 2 1 4 4 5 3 3 -> 2 0 1 0 3 2 0 3 2 1 3 2 3 1 2 5 1 0 4 1 2 1 4 4 5 3 3 , 31.64/8.45 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.64/8.45 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.64/8.45 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.64/8.45 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.64/8.45 31.64/8.45 31.64/8.45 The system was filtered by the following matrix interpretation 31.64/8.45 of type E_J with J = {1,...,2} and dimension 28: 31.64/8.45 31.64/8.45 0 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 1 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 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 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 \ / 31.64/8.45 2 is interpreted by 31.64/8.45 / \ 31.64/8.45 | 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 | 31.64/8.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.64/8.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 3 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 4 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 5 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 31.77/8.46 Remains to prove termination of the 5-rule system 31.77/8.46 { 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.77/8.46 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.77/8.46 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 3 4 3 0 3 5 2 0 4 2 5 -> 4 5 3 5 3 1 3 4 5 1 0 5 1 3 3 2 5 4 3 3 0 3 5 2 0 4 2 5 , 31.77/8.46 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.77/8.46 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.77/8.46 31.77/8.46 31.77/8.46 The system was filtered by the following matrix interpretation 31.77/8.46 of type E_J with J = {1,...,2} and dimension 29: 31.77/8.46 31.77/8.46 0 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 1 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 2 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 3 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 4 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 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 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 5 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 31.77/8.46 Remains to prove termination of the 4-rule system 31.77/8.46 { 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.77/8.46 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.77/8.46 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 2 0 1 -> 5 5 0 4 3 1 3 4 0 1 0 2 4 1 2 1 2 3 0 0 4 4 4 0 1 0 2 1 , 31.77/8.46 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.77/8.46 31.77/8.46 31.77/8.46 The system was filtered by the following matrix interpretation 31.77/8.46 of type E_J with J = {1,...,2} and dimension 29: 31.77/8.46 31.77/8.46 0 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 1 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 2 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 3 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 4 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 5 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 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 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 31.77/8.46 Remains to prove termination of the 3-rule system 31.77/8.46 { 2 1 3 3 2 4 4 4 0 4 5 1 2 0 1 5 4 2 5 3 2 3 1 5 -> 2 1 3 3 2 4 4 4 0 4 5 1 0 2 1 5 4 2 5 3 2 3 1 5 , 31.77/8.46 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.77/8.46 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.77/8.46 31.77/8.46 31.77/8.46 The system was filtered by the following matrix interpretation 31.77/8.46 of type E_J with J = {1,...,2} and dimension 25: 31.77/8.46 31.77/8.46 0 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 1 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 2 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 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 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 3 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 4 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 5 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 31.77/8.46 Remains to prove termination of the 2-rule system 31.77/8.46 { 2 1 3 0 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 -> 2 1 0 3 5 5 2 1 5 2 0 1 4 2 5 4 5 5 3 1 5 3 5 3 3 5 5 0 , 31.77/8.46 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.77/8.46 31.77/8.46 31.77/8.46 The system was filtered by the following matrix interpretation 31.77/8.46 of type E_J with J = {1,...,2} and dimension 29: 31.77/8.46 31.77/8.46 0 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 1 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 2 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 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 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 3 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 4 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 5 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 31.77/8.46 Remains to prove termination of the 1-rule system 31.77/8.46 { 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 0 1 0 2 0 4 5 4 5 0 -> 1 2 4 4 0 2 1 5 1 1 5 3 1 1 4 2 5 2 3 0 1 0 0 2 0 4 5 4 5 0 } 31.77/8.46 31.77/8.46 31.77/8.46 The system was filtered by the following matrix interpretation 31.77/8.46 of type E_J with J = {1,...,2} and dimension 31: 31.77/8.46 31.77/8.46 0 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 1 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 2 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 3 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 4 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 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 | 31.77/8.46 | 0 0 0 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 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 5 is interpreted by 31.77/8.46 / \ 31.77/8.46 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 31.77/8.46 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 31.77/8.46 \ / 31.77/8.46 31.77/8.46 Remains to prove termination of the 0-rule system 31.77/8.46 { } 31.77/8.46 31.77/8.46 31.77/8.46 The system is trivially terminating. 31.77/8.51 EOF