24.78/6.56 YES 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 6: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 1 0 0 0 | 24.91/6.64 | 0 0 1 0 1 0 | 24.91/6.64 | 0 0 1 0 0 1 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 1 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 1 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 1 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 75-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 3 4 0 -> 0 3 0 2 4 2 , 24.91/6.64 0 3 4 0 -> 0 3 4 2 0 2 , 24.91/6.64 0 3 4 0 -> 0 4 5 3 0 5 , 24.91/6.64 0 4 4 0 -> 4 4 2 0 0 , 24.91/6.64 0 4 4 0 -> 0 4 0 2 4 2 , 24.91/6.64 0 4 4 0 -> 4 2 0 0 2 4 , 24.91/6.64 0 4 4 0 -> 4 2 0 0 4 2 , 24.91/6.64 0 4 4 0 -> 4 2 0 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 0 -> 5 4 4 2 0 1 , 24.91/6.64 1 4 4 1 -> 2 1 4 1 2 4 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 1 4 4 1 -> 2 4 1 2 1 4 , 24.91/6.64 1 4 4 1 -> 2 4 2 1 4 1 , 24.91/6.64 4 0 0 0 -> 0 4 2 0 0 5 , 24.91/6.64 4 0 0 1 -> 2 3 0 1 0 4 , 24.91/6.64 4 0 4 0 -> 2 4 2 0 0 4 , 24.91/6.64 4 0 4 0 -> 3 4 2 0 4 0 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 0 -> 4 0 3 4 2 , 24.91/6.64 4 3 4 0 -> 4 4 2 0 3 , 24.91/6.64 4 3 4 0 -> 0 4 2 3 4 2 , 24.91/6.64 4 3 4 0 -> 2 3 0 4 4 5 , 24.91/6.64 4 3 4 0 -> 2 3 4 4 0 2 , 24.91/6.64 4 3 4 0 -> 2 4 0 3 4 2 , 24.91/6.64 4 3 4 0 -> 4 2 0 4 2 3 , 24.91/6.64 4 3 4 0 -> 4 3 0 5 4 2 , 24.91/6.64 4 3 4 0 -> 4 4 2 3 0 2 , 24.91/6.64 4 3 4 0 -> 4 4 5 3 0 3 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.64 4 4 4 0 -> 2 4 2 4 4 0 , 24.91/6.64 4 4 4 1 -> 2 4 2 4 1 4 , 24.91/6.64 4 4 4 1 -> 4 2 4 1 2 4 , 24.91/6.64 4 4 4 1 -> 4 5 4 1 5 4 , 24.91/6.64 0 0 4 0 0 -> 0 4 2 0 0 0 , 24.91/6.64 0 1 3 5 0 -> 0 1 3 0 5 3 , 24.91/6.64 0 3 4 0 0 -> 3 4 2 0 0 0 , 24.91/6.64 0 3 5 0 1 -> 0 1 0 5 2 3 , 24.91/6.64 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.64 0 4 3 4 0 -> 0 2 3 4 4 0 , 24.91/6.64 1 4 4 0 0 -> 4 1 4 2 0 0 , 24.91/6.64 1 4 4 0 1 -> 1 4 4 1 2 0 , 24.91/6.64 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.64 4 0 0 4 1 -> 4 4 2 0 1 0 , 24.91/6.64 4 0 4 4 0 -> 4 0 4 2 4 0 , 24.91/6.64 4 1 0 0 1 -> 4 2 0 1 1 0 , 24.91/6.64 4 1 3 4 0 -> 3 1 4 2 4 0 , 24.91/6.64 4 3 1 5 0 -> 1 4 5 3 0 1 , 24.91/6.64 4 3 2 4 0 -> 4 2 0 3 4 2 , 24.91/6.64 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.64 4 3 5 5 0 -> 0 2 3 5 4 5 , 24.91/6.64 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.64 4 4 0 0 1 -> 4 0 4 2 0 1 , 24.91/6.64 4 4 4 4 1 -> 4 4 4 1 2 4 , 24.91/6.64 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 6: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 1 0 0 1 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 1 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 1 0 0 1 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 1 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 0 1 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 54-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 3 4 0 -> 0 3 0 2 4 2 , 24.91/6.64 0 3 4 0 -> 0 3 4 2 0 2 , 24.91/6.64 0 3 4 0 -> 0 4 5 3 0 5 , 24.91/6.64 0 4 4 0 -> 4 4 2 0 0 , 24.91/6.64 0 4 4 0 -> 0 4 0 2 4 2 , 24.91/6.64 0 4 4 0 -> 4 2 0 0 2 4 , 24.91/6.64 0 4 4 0 -> 4 2 0 0 4 2 , 24.91/6.64 0 4 4 0 -> 4 2 0 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 0 -> 5 4 4 2 0 1 , 24.91/6.64 1 4 4 1 -> 2 1 4 1 2 4 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 1 4 4 1 -> 2 4 1 2 1 4 , 24.91/6.64 1 4 4 1 -> 2 4 2 1 4 1 , 24.91/6.64 4 0 4 0 -> 2 4 2 0 0 4 , 24.91/6.64 4 0 4 0 -> 3 4 2 0 4 0 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.64 4 4 4 0 -> 2 4 2 4 4 0 , 24.91/6.64 4 4 4 1 -> 2 4 2 4 1 4 , 24.91/6.64 4 4 4 1 -> 4 2 4 1 2 4 , 24.91/6.64 4 4 4 1 -> 4 5 4 1 5 4 , 24.91/6.64 0 1 3 5 0 -> 0 1 3 0 5 3 , 24.91/6.64 0 3 5 0 1 -> 0 1 0 5 2 3 , 24.91/6.64 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.64 1 4 4 0 1 -> 1 4 4 1 2 0 , 24.91/6.64 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.64 4 0 4 4 0 -> 4 0 4 2 4 0 , 24.91/6.64 4 3 1 5 0 -> 1 4 5 3 0 1 , 24.91/6.64 4 3 2 4 0 -> 4 2 0 3 4 2 , 24.91/6.64 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.64 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.64 4 4 4 4 1 -> 4 4 4 1 2 4 , 24.91/6.64 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 5: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 1 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 51-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 4 4 0 -> 4 4 2 0 0 , 24.91/6.64 0 4 4 0 -> 0 4 0 2 4 2 , 24.91/6.64 0 4 4 0 -> 4 2 0 0 2 4 , 24.91/6.64 0 4 4 0 -> 4 2 0 0 4 2 , 24.91/6.64 0 4 4 0 -> 4 2 0 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 0 -> 5 4 4 2 0 1 , 24.91/6.64 1 4 4 1 -> 2 1 4 1 2 4 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 1 4 4 1 -> 2 4 1 2 1 4 , 24.91/6.64 1 4 4 1 -> 2 4 2 1 4 1 , 24.91/6.64 4 0 4 0 -> 2 4 2 0 0 4 , 24.91/6.64 4 0 4 0 -> 3 4 2 0 4 0 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.64 4 4 4 0 -> 2 4 2 4 4 0 , 24.91/6.64 4 4 4 1 -> 2 4 2 4 1 4 , 24.91/6.64 4 4 4 1 -> 4 2 4 1 2 4 , 24.91/6.64 4 4 4 1 -> 4 5 4 1 5 4 , 24.91/6.64 0 1 3 5 0 -> 0 1 3 0 5 3 , 24.91/6.64 0 3 5 0 1 -> 0 1 0 5 2 3 , 24.91/6.64 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.64 1 4 4 0 1 -> 1 4 4 1 2 0 , 24.91/6.64 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.64 4 0 4 4 0 -> 4 0 4 2 4 0 , 24.91/6.64 4 3 1 5 0 -> 1 4 5 3 0 1 , 24.91/6.64 4 3 2 4 0 -> 4 2 0 3 4 2 , 24.91/6.64 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.64 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.64 4 4 4 4 1 -> 4 4 4 1 2 4 , 24.91/6.64 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 5: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 1 1 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 1 0 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 1 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 42-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 1 -> 2 1 4 1 2 4 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 1 4 4 1 -> 2 4 1 2 1 4 , 24.91/6.64 1 4 4 1 -> 2 4 2 1 4 1 , 24.91/6.64 4 0 4 0 -> 2 4 2 0 0 4 , 24.91/6.64 4 0 4 0 -> 3 4 2 0 4 0 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.64 4 4 4 1 -> 2 4 2 4 1 4 , 24.91/6.64 4 4 4 1 -> 4 2 4 1 2 4 , 24.91/6.64 4 4 4 1 -> 4 5 4 1 5 4 , 24.91/6.64 0 1 3 5 0 -> 0 1 3 0 5 3 , 24.91/6.64 0 3 5 0 1 -> 0 1 0 5 2 3 , 24.91/6.64 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.64 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.64 4 3 1 5 0 -> 1 4 5 3 0 1 , 24.91/6.64 4 3 2 4 0 -> 4 2 0 3 4 2 , 24.91/6.64 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.64 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.64 4 4 4 4 1 -> 4 4 4 1 2 4 , 24.91/6.64 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 6: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 1 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 1 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 1 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 40-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 1 -> 2 1 4 1 2 4 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 1 4 4 1 -> 2 4 1 2 1 4 , 24.91/6.64 1 4 4 1 -> 2 4 2 1 4 1 , 24.91/6.64 4 0 4 0 -> 2 4 2 0 0 4 , 24.91/6.64 4 0 4 0 -> 3 4 2 0 4 0 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.64 4 4 4 1 -> 2 4 2 4 1 4 , 24.91/6.64 4 4 4 1 -> 4 2 4 1 2 4 , 24.91/6.64 4 4 4 1 -> 4 5 4 1 5 4 , 24.91/6.64 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.64 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.64 4 3 1 5 0 -> 1 4 5 3 0 1 , 24.91/6.64 4 3 2 4 0 -> 4 2 0 3 4 2 , 24.91/6.64 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.64 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.64 4 4 4 4 1 -> 4 4 4 1 2 4 , 24.91/6.64 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 5: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 1 1 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 1 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 1 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 38-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 1 -> 2 1 4 1 2 4 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 1 4 4 1 -> 2 4 1 2 1 4 , 24.91/6.64 1 4 4 1 -> 2 4 2 1 4 1 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.64 4 4 4 1 -> 2 4 2 4 1 4 , 24.91/6.64 4 4 4 1 -> 4 2 4 1 2 4 , 24.91/6.64 4 4 4 1 -> 4 5 4 1 5 4 , 24.91/6.64 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.64 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.64 4 3 1 5 0 -> 1 4 5 3 0 1 , 24.91/6.64 4 3 2 4 0 -> 4 2 0 3 4 2 , 24.91/6.64 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.64 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.64 4 4 4 4 1 -> 4 4 4 1 2 4 , 24.91/6.64 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 6: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 1 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 1 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 37-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 1 -> 2 1 4 1 2 4 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 1 4 4 1 -> 2 4 1 2 1 4 , 24.91/6.64 1 4 4 1 -> 2 4 2 1 4 1 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.64 4 4 4 1 -> 2 4 2 4 1 4 , 24.91/6.64 4 4 4 1 -> 4 2 4 1 2 4 , 24.91/6.64 4 4 4 1 -> 4 5 4 1 5 4 , 24.91/6.64 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.64 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.64 4 3 2 4 0 -> 4 2 0 3 4 2 , 24.91/6.64 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.64 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.64 4 4 4 4 1 -> 4 4 4 1 2 4 , 24.91/6.64 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 6: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 1 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 1 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 36-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 1 -> 2 1 4 1 2 4 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 1 4 4 1 -> 2 4 1 2 1 4 , 24.91/6.64 1 4 4 1 -> 2 4 2 1 4 1 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.64 4 4 4 1 -> 2 4 2 4 1 4 , 24.91/6.64 4 4 4 1 -> 4 2 4 1 2 4 , 24.91/6.64 4 4 4 1 -> 4 5 4 1 5 4 , 24.91/6.64 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.64 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.64 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.64 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.64 4 4 4 4 1 -> 4 4 4 1 2 4 , 24.91/6.64 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.64 24.91/6.64 24.91/6.64 The system was filtered by the following matrix interpretation 24.91/6.64 of type E_J with J = {1,...,2} and dimension 5: 24.91/6.64 24.91/6.64 0 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 1 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 \ / 24.91/6.64 1 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 | 24.91/6.64 | 0 2 0 0 0 | 24.91/6.64 | 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 1 0 0 1 | 24.91/6.64 \ / 24.91/6.64 2 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 3 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 1 0 | 24.91/6.64 \ / 24.91/6.64 4 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 1 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 1 0 | 24.91/6.64 | 0 0 0 0 1 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 \ / 24.91/6.64 5 is interpreted by 24.91/6.64 / \ 24.91/6.64 | 1 0 0 0 0 | 24.91/6.64 | 0 1 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 | 0 0 0 0 0 | 24.91/6.64 \ / 24.91/6.64 24.91/6.64 Remains to prove termination of the 29-rule system 24.91/6.64 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.64 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.64 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.64 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.64 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.64 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.64 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.64 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.64 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.64 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.64 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.64 4 0 4 1 -> 2 4 2 0 4 1 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.64 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.64 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.64 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.64 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.64 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.64 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.64 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.65 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.65 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.65 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.65 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.65 24.91/6.65 24.91/6.65 The system was filtered by the following matrix interpretation 24.91/6.65 of type E_J with J = {1,...,2} and dimension 5: 24.91/6.65 24.91/6.65 0 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 1 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 1 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 1 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 2 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 3 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 4 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 1 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 5 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 24.91/6.65 Remains to prove termination of the 28-rule system 24.91/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.65 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.65 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.65 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.65 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.65 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.65 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.65 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.65 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.65 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.65 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.65 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.65 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.65 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.65 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.65 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.65 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.65 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.65 4 3 4 4 1 -> 4 4 3 1 4 2 , 24.91/6.65 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.65 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.65 24.91/6.65 24.91/6.65 The system was filtered by the following matrix interpretation 24.91/6.65 of type E_J with J = {1,...,2} and dimension 6: 24.91/6.65 24.91/6.65 0 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 1 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 2 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 3 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 1 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 4 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 1 0 | 24.91/6.65 | 0 0 1 0 0 1 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 5 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 24.91/6.65 Remains to prove termination of the 27-rule system 24.91/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.65 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.65 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.65 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.65 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.65 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.65 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.65 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.65 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.65 4 3 4 1 -> 3 4 2 4 1 , 24.91/6.65 4 3 4 1 -> 1 4 2 4 2 3 , 24.91/6.65 4 3 4 1 -> 2 3 1 4 5 4 , 24.91/6.65 4 3 4 1 -> 2 3 4 2 1 4 , 24.91/6.65 4 3 4 1 -> 2 4 2 3 1 4 , 24.91/6.65 4 3 4 1 -> 3 1 4 2 4 2 , 24.91/6.65 4 3 4 1 -> 3 4 2 4 5 1 , 24.91/6.65 4 3 4 1 -> 3 4 5 3 4 1 , 24.91/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.65 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.65 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.65 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.65 24.91/6.65 24.91/6.65 The system was filtered by the following matrix interpretation 24.91/6.65 of type E_J with J = {1,...,2} and dimension 5: 24.91/6.65 24.91/6.65 0 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 1 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 2 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 3 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 1 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 4 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 1 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 5 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 24.91/6.65 Remains to prove termination of the 19-rule system 24.91/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.65 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.65 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.65 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.65 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.65 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.65 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.65 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.65 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.65 1 4 4 4 1 -> 2 4 1 4 4 1 , 24.91/6.65 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.65 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.65 24.91/6.65 24.91/6.65 The system was filtered by the following matrix interpretation 24.91/6.65 of type E_J with J = {1,...,2} and dimension 6: 24.91/6.65 24.91/6.65 0 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 1 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 2 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 3 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 4 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 1 0 0 | 24.91/6.65 | 0 0 0 0 1 0 | 24.91/6.65 | 0 0 0 0 0 1 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 5 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 24.91/6.65 Remains to prove termination of the 18-rule system 24.91/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.65 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.65 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.65 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.65 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.65 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.65 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.65 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.65 1 4 4 1 -> 2 3 4 1 4 1 , 24.91/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.65 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.65 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.65 24.91/6.65 24.91/6.65 The system was filtered by the following matrix interpretation 24.91/6.65 of type E_J with J = {1,...,2} and dimension 5: 24.91/6.65 24.91/6.65 0 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 1 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 2 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 3 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 4 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 1 0 | 24.91/6.65 | 0 0 0 0 1 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 \ / 24.91/6.65 5 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 24.91/6.65 Remains to prove termination of the 17-rule system 24.91/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.65 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.65 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.65 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.65 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.65 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.65 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.65 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.65 4 3 5 5 1 -> 1 5 4 2 5 3 , 24.91/6.65 4 4 5 0 1 -> 4 5 0 1 4 2 } 24.91/6.65 24.91/6.65 24.91/6.65 The system was filtered by the following matrix interpretation 24.91/6.65 of type E_J with J = {1,...,2} and dimension 6: 24.91/6.65 24.91/6.65 0 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 1 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 2 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 3 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 1 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 4 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 1 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 5 is interpreted by 24.91/6.65 / \ 24.91/6.65 | 1 0 0 0 0 0 | 24.91/6.65 | 0 1 0 0 0 0 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 | 0 0 0 0 1 0 | 24.91/6.65 | 0 0 0 0 0 1 | 24.91/6.65 | 0 0 0 0 0 0 | 24.91/6.65 \ / 24.91/6.65 24.91/6.65 Remains to prove termination of the 16-rule system 24.91/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 24.91/6.65 0 0 4 1 -> 4 2 0 1 0 , 24.91/6.65 0 0 4 1 -> 0 2 1 4 2 0 , 24.91/6.65 0 0 4 1 -> 1 0 5 4 2 0 , 24.91/6.65 0 0 4 1 -> 3 4 2 0 1 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 0 1 4 4 2 3 , 24.91/6.65 0 4 4 1 -> 0 1 5 4 4 2 , 24.91/6.65 0 4 4 1 -> 1 5 4 4 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 0 1 5 4 , 24.91/6.65 0 4 4 1 -> 2 4 4 1 2 0 , 24.91/6.65 0 4 4 1 -> 2 4 5 4 0 1 , 24.91/6.65 0 4 4 1 -> 4 2 4 2 1 0 , 24.91/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 , 24.91/6.65 4 4 5 0 1 -> 4 5 0 1 4 2 } 25.20/6.65 25.20/6.65 25.20/6.65 The system was filtered by the following matrix interpretation 25.20/6.65 of type E_J with J = {1,...,2} and dimension 6: 25.20/6.65 25.20/6.65 0 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 1 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 1 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 1 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 2 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 3 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 4 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 1 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 1 1 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 5 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 1 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 25.20/6.65 Remains to prove termination of the 15-rule system 25.20/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 25.20/6.65 0 0 4 1 -> 4 2 0 1 0 , 25.20/6.65 0 0 4 1 -> 0 2 1 4 2 0 , 25.20/6.65 0 0 4 1 -> 1 0 5 4 2 0 , 25.20/6.65 0 0 4 1 -> 3 4 2 0 1 0 , 25.20/6.65 0 4 4 1 -> 0 1 4 4 2 , 25.20/6.65 0 4 4 1 -> 1 4 4 2 0 , 25.20/6.65 0 4 4 1 -> 0 1 4 4 2 3 , 25.20/6.65 0 4 4 1 -> 0 1 5 4 4 2 , 25.20/6.65 0 4 4 1 -> 1 5 4 4 2 0 , 25.20/6.65 0 4 4 1 -> 2 4 0 1 5 4 , 25.20/6.65 0 4 4 1 -> 2 4 4 1 2 0 , 25.20/6.65 0 4 4 1 -> 2 4 5 4 0 1 , 25.20/6.65 0 4 4 1 -> 4 2 4 2 1 0 , 25.20/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 } 25.20/6.65 25.20/6.65 25.20/6.65 The system was filtered by the following matrix interpretation 25.20/6.65 of type E_J with J = {1,...,2} and dimension 5: 25.20/6.65 25.20/6.65 0 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 1 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 1 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 \ / 25.20/6.65 1 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 1 1 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 \ / 25.20/6.65 2 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 3 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 4 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 1 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 5 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 25.20/6.65 Remains to prove termination of the 11-rule system 25.20/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 25.20/6.65 0 4 4 1 -> 0 1 4 4 2 , 25.20/6.65 0 4 4 1 -> 1 4 4 2 0 , 25.20/6.65 0 4 4 1 -> 0 1 4 4 2 3 , 25.20/6.65 0 4 4 1 -> 0 1 5 4 4 2 , 25.20/6.65 0 4 4 1 -> 1 5 4 4 2 0 , 25.20/6.65 0 4 4 1 -> 2 4 0 1 5 4 , 25.20/6.65 0 4 4 1 -> 2 4 4 1 2 0 , 25.20/6.65 0 4 4 1 -> 2 4 5 4 0 1 , 25.20/6.65 0 4 4 1 -> 4 2 4 2 1 0 , 25.20/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 } 25.20/6.65 25.20/6.65 25.20/6.65 The system was filtered by the following matrix interpretation 25.20/6.65 of type E_J with J = {1,...,2} and dimension 5: 25.20/6.65 25.20/6.65 0 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 1 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 \ / 25.20/6.65 1 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 1 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 \ / 25.20/6.65 2 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 3 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 4 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 1 0 | 25.20/6.65 | 0 0 0 0 1 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 5 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 25.20/6.65 Remains to prove termination of the 2-rule system 25.20/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 , 25.20/6.65 0 3 5 4 1 -> 5 1 0 4 5 3 } 25.20/6.65 25.20/6.65 25.20/6.65 The system was filtered by the following matrix interpretation 25.20/6.65 of type E_J with J = {1,...,2} and dimension 6: 25.20/6.65 25.20/6.65 0 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 1 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 1 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 2 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 3 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 1 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 4 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 1 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 5 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 1 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 25.20/6.65 Remains to prove termination of the 1-rule system 25.20/6.65 { 0 0 0 1 -> 0 1 0 0 2 3 } 25.20/6.65 25.20/6.65 25.20/6.65 The system was filtered by the following matrix interpretation 25.20/6.65 of type E_J with J = {1,...,2} and dimension 5: 25.20/6.65 25.20/6.65 0 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 1 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 1 0 | 25.20/6.65 | 0 0 1 0 1 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 1 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 \ / 25.20/6.65 2 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 3 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 4 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 5 is interpreted by 25.20/6.65 / \ 25.20/6.65 | 1 0 0 0 0 | 25.20/6.65 | 0 1 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 | 0 0 0 0 0 | 25.20/6.65 \ / 25.20/6.65 25.20/6.65 Remains to prove termination of the 0-rule system 25.20/6.65 { } 25.20/6.65 25.20/6.65 25.20/6.65 The system is trivially terminating. 25.23/6.69 EOF