40.70/10.70 YES 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 1 0 0 1 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 44-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 0 4 5 3 -> 0 0 4 3 5 , 41.95/10.97 0 5 3 4 -> 0 4 3 3 5 , 41.95/10.97 0 5 4 2 -> 0 4 2 1 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 4 1 3 -> 0 4 3 2 1 , 41.95/10.97 2 4 3 2 -> 2 0 4 2 3 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 2 0 3 -> 2 3 0 4 3 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 3 2 -> 0 5 0 3 2 1 , 41.95/10.97 0 1 5 4 2 -> 5 2 1 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 2 2 4 3 -> 2 0 4 3 0 2 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 3 2 1 -> 0 2 3 1 3 5 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 1 5 3 -> 0 4 1 3 5 2 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 4 1 2 3 -> 0 4 4 2 3 1 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 1 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 43-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 0 4 5 3 -> 0 0 4 3 5 , 41.95/10.97 0 5 3 4 -> 0 4 3 3 5 , 41.95/10.97 0 5 4 2 -> 0 4 2 1 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 4 1 3 -> 0 4 3 2 1 , 41.95/10.97 2 4 3 2 -> 2 0 4 2 3 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 3 2 -> 0 5 0 3 2 1 , 41.95/10.97 0 1 5 4 2 -> 5 2 1 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 2 2 4 3 -> 2 0 4 3 0 2 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 3 2 1 -> 0 2 3 1 3 5 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 1 5 3 -> 0 4 1 3 5 2 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 4 1 2 3 -> 0 4 4 2 3 1 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 1 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 40-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 0 5 3 4 -> 0 4 3 3 5 , 41.95/10.97 0 5 4 2 -> 0 4 2 1 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 4 1 3 -> 0 4 3 2 1 , 41.95/10.97 2 4 3 2 -> 2 0 4 2 3 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 4 2 -> 5 2 1 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 2 2 4 3 -> 2 0 4 3 0 2 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 3 2 1 -> 0 2 3 1 3 5 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 4 1 2 3 -> 0 4 4 2 3 1 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 1 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 39-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 0 5 3 4 -> 0 4 3 3 5 , 41.95/10.97 0 5 4 2 -> 0 4 2 1 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 4 1 3 -> 0 4 3 2 1 , 41.95/10.97 2 4 3 2 -> 2 0 4 2 3 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 4 2 -> 5 2 1 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 3 2 1 -> 0 2 3 1 3 5 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 4 1 2 3 -> 0 4 4 2 3 1 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 10: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 1 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 1 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 1 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 38-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 0 5 3 4 -> 0 4 3 3 5 , 41.95/10.97 0 5 4 2 -> 0 4 2 1 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 4 1 3 -> 0 4 3 2 1 , 41.95/10.97 2 4 3 2 -> 2 0 4 2 3 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 4 2 -> 5 2 1 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 3 2 1 -> 0 2 3 1 3 5 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 37-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 0 5 3 4 -> 0 4 3 3 5 , 41.95/10.97 0 5 4 2 -> 0 4 2 1 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 4 3 2 -> 2 0 4 2 3 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 4 2 -> 5 2 1 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 3 2 1 -> 0 2 3 1 3 5 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 35-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 0 5 4 2 -> 0 4 2 1 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 4 3 2 -> 2 0 4 2 3 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 4 2 -> 5 2 1 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 1 0 1 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 34-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 0 5 4 2 -> 0 4 2 1 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 4 2 -> 5 2 1 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 2 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 1 1 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 32-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 0 3 5 2 -> 0 2 1 3 5 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 31-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 4 3 4 3 -> 4 3 0 4 3 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 9: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 1 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 1 1 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 1 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 30-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 0 5 4 1 4 -> 4 0 4 1 5 0 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 1 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 1 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 1 1 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 | 41.95/10.97 | 0 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 29-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 1 4 -> 0 4 1 1 0 0 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 1 4 2 -> 0 4 2 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.97 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.97 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.97 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.97 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.97 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.97 41.95/10.97 41.95/10.97 The system was filtered by the following matrix interpretation 41.95/10.97 of type E_J with J = {1,...,2} and dimension 7: 41.95/10.97 41.95/10.97 0 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 1 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 1 1 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 2 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 0 0 | 41.95/10.97 | 0 0 0 0 0 1 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 1 0 0 | 41.95/10.97 \ / 41.95/10.97 3 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 4 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 1 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 1 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 5 is interpreted by 41.95/10.97 / \ 41.95/10.97 | 1 0 0 0 0 0 0 | 41.95/10.97 | 0 1 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 | 0 0 0 0 0 0 0 | 41.95/10.97 \ / 41.95/10.97 41.95/10.97 Remains to prove termination of the 27-rule system 41.95/10.97 { 0 1 2 -> 0 0 2 1 , 41.95/10.97 0 1 2 -> 0 2 1 3 , 41.95/10.97 0 1 2 -> 0 2 3 1 , 41.95/10.97 0 3 2 -> 0 0 2 3 , 41.95/10.97 0 3 2 -> 0 2 3 1 , 41.95/10.97 0 3 4 -> 0 0 4 3 , 41.95/10.97 0 4 5 -> 0 0 4 1 5 , 41.95/10.97 2 0 1 -> 0 2 1 1 , 41.95/10.97 2 4 1 -> 0 4 2 3 1 , 41.95/10.97 4 3 2 -> 4 2 3 1 , 41.95/10.97 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.97 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.97 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.97 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.97 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.97 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.97 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.97 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.97 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.97 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.97 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.97 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 7: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 | 41.95/10.98 | 0 0 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 1 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 24-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 0 4 5 -> 0 0 4 1 5 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.98 0 3 2 4 -> 0 4 2 3 0 , 41.95/10.98 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.98 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.98 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.98 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 1 1 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 23-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 0 4 5 -> 0 0 4 1 5 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.98 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.98 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.98 0 3 0 4 5 -> 5 0 0 4 3 2 , 41.95/10.98 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 1 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 22-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 0 4 5 -> 0 0 4 1 5 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.98 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.98 0 1 5 4 5 -> 0 4 1 2 5 5 , 41.95/10.98 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 1 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 21-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 0 4 5 -> 0 0 4 1 5 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.98 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 5 4 3 -> 0 4 2 3 5 , 41.95/10.98 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 9: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 1 0 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 1 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 1 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 20-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 0 4 5 -> 0 0 4 1 5 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.98 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 0 4 2 5 4 -> 0 4 2 1 5 4 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 0 1 5 4 -> 4 0 0 4 1 5 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 4: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 1 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 1 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 1 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 17-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 0 1 0 2 -> 0 0 2 1 1 1 , 41.95/10.98 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 16-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 0 3 4 2 -> 0 4 2 3 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 15-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 2 4 1 -> 4 2 2 3 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 14-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 0 3 4 -> 0 0 4 3 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 4: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 1 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 13-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 4 1 -> 0 4 2 3 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 1 1 -> 2 0 4 1 1 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 4: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 1 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 11-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 4 2 0 1 -> 2 1 1 2 0 4 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 1 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 10-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 4 3 2 -> 4 2 3 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 4: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 2 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 1 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 1 1 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 9-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 , 41.95/10.98 4 5 1 0 2 -> 1 0 4 2 1 5 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 1 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 8-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 0 1 0 1 -> 0 0 3 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 7-rule system 41.95/10.98 { 0 3 2 -> 0 0 2 3 , 41.95/10.98 0 3 2 -> 0 2 3 1 , 41.95/10.98 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 4: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 1 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 5-rule system 41.95/10.98 { 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 , 41.95/10.98 4 3 0 2 3 -> 0 4 2 3 1 3 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 1 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 4-rule system 41.95/10.98 { 2 0 1 -> 0 2 1 1 , 41.95/10.98 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 4: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 1 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 | 41.95/10.98 | 0 1 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 | 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 3-rule system 41.95/10.98 { 2 0 3 1 -> 0 3 2 1 1 , 41.95/10.98 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 2-rule system 41.95/10.98 { 2 3 4 3 -> 2 3 0 4 3 3 , 41.95/10.98 2 5 3 4 1 -> 5 1 0 4 3 2 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 5: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 1-rule system 41.95/10.98 { 2 5 3 4 1 -> 5 1 0 4 3 2 } 41.95/10.98 41.95/10.98 41.95/10.98 The system was filtered by the following matrix interpretation 41.95/10.98 of type E_J with J = {1,...,2} and dimension 6: 41.95/10.98 41.95/10.98 0 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 1 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 2 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 1 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 3 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 1 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 4 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 1 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 5 is interpreted by 41.95/10.98 / \ 41.95/10.98 | 1 0 0 0 0 0 | 41.95/10.98 | 0 1 0 0 0 0 | 41.95/10.98 | 0 0 0 1 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 | 0 0 0 0 0 0 | 41.95/10.98 \ / 41.95/10.98 41.95/10.98 Remains to prove termination of the 0-rule system 41.95/10.98 { } 41.95/10.98 41.95/10.98 41.95/10.98 The system is trivially terminating. 48.90/13.40 EOF