29.49/7.78 YES 30.27/7.97 30.27/7.97 30.27/7.97 The system was filtered by the following matrix interpretation 30.27/7.97 of type E_J with J = {1,...,2} and dimension 6: 30.27/7.97 30.27/7.97 1 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 1 1 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 0 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 | 0 0 0 1 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 1 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 4 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 3 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 5 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 1 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 2 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 30.27/7.97 Remains to prove termination of the 33-rule system 30.27/7.97 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.97 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.97 1 0 1 0 -> 1 0 3 2 0 4 4 2 4 2 , 30.27/7.97 1 0 3 1 -> 1 2 3 3 2 4 4 3 0 1 , 30.27/7.97 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.97 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.97 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.97 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.97 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.97 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.97 1 5 3 0 3 1 -> 1 2 2 1 3 0 4 4 3 1 , 30.27/7.97 1 5 4 1 2 5 -> 1 4 4 0 2 4 2 0 3 5 , 30.27/7.97 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.97 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.97 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.97 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.97 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.97 5 2 0 4 5 1 -> 5 2 2 2 3 1 0 4 0 3 , 30.27/7.97 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.97 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.97 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.97 3 1 0 1 5 5 1 -> 2 4 1 1 3 3 3 3 1 1 , 30.27/7.97 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.97 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.97 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.97 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.97 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.97 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.97 4 5 1 0 0 5 1 -> 5 5 2 2 2 5 5 5 1 4 , 30.27/7.97 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 , 30.27/7.97 5 1 4 5 2 5 3 -> 5 5 1 4 2 3 0 0 3 4 , 30.27/7.97 5 1 5 4 2 5 1 -> 5 5 2 3 0 3 4 2 1 0 , 30.27/7.97 5 4 5 0 5 2 3 -> 5 1 1 4 2 3 0 1 3 0 } 30.27/7.97 30.27/7.97 30.27/7.97 The system was filtered by the following matrix interpretation 30.27/7.97 of type E_J with J = {1,...,2} and dimension 17: 30.27/7.97 30.27/7.97 1 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 0 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 4 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 3 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 5 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 2 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 30.27/7.97 Remains to prove termination of the 32-rule system 30.27/7.97 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.97 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.97 1 0 1 0 -> 1 0 3 2 0 4 4 2 4 2 , 30.27/7.97 1 0 3 1 -> 1 2 3 3 2 4 4 3 0 1 , 30.27/7.97 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.97 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.97 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.97 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.97 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.97 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.97 1 5 4 1 2 5 -> 1 4 4 0 2 4 2 0 3 5 , 30.27/7.97 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.97 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.97 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.97 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.97 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.97 5 2 0 4 5 1 -> 5 2 2 2 3 1 0 4 0 3 , 30.27/7.97 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.97 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.97 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.97 3 1 0 1 5 5 1 -> 2 4 1 1 3 3 3 3 1 1 , 30.27/7.97 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.97 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.97 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.97 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.97 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.97 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.97 4 5 1 0 0 5 1 -> 5 5 2 2 2 5 5 5 1 4 , 30.27/7.97 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 , 30.27/7.97 5 1 4 5 2 5 3 -> 5 5 1 4 2 3 0 0 3 4 , 30.27/7.97 5 1 5 4 2 5 1 -> 5 5 2 3 0 3 4 2 1 0 , 30.27/7.97 5 4 5 0 5 2 3 -> 5 1 1 4 2 3 0 1 3 0 } 30.27/7.97 30.27/7.97 30.27/7.97 The system was filtered by the following matrix interpretation 30.27/7.97 of type E_J with J = {1,...,2} and dimension 13: 30.27/7.97 30.27/7.97 1 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 0 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 4 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.97 \ / 30.27/7.97 3 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 5 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 2 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 30.27/7.97 Remains to prove termination of the 31-rule system 30.27/7.97 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.97 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.97 1 0 1 0 -> 1 0 3 2 0 4 4 2 4 2 , 30.27/7.97 1 0 3 1 -> 1 2 3 3 2 4 4 3 0 1 , 30.27/7.97 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.97 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.97 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.97 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.97 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.97 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.97 1 5 4 1 2 5 -> 1 4 4 0 2 4 2 0 3 5 , 30.27/7.97 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.97 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.97 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.97 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.97 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.97 5 2 0 4 5 1 -> 5 2 2 2 3 1 0 4 0 3 , 30.27/7.97 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.97 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.97 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.97 3 1 0 1 5 5 1 -> 2 4 1 1 3 3 3 3 1 1 , 30.27/7.97 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.97 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.97 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.97 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.97 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.97 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.97 4 5 1 0 0 5 1 -> 5 5 2 2 2 5 5 5 1 4 , 30.27/7.97 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 , 30.27/7.97 5 1 4 5 2 5 3 -> 5 5 1 4 2 3 0 0 3 4 , 30.27/7.97 5 1 5 4 2 5 1 -> 5 5 2 3 0 3 4 2 1 0 } 30.27/7.97 30.27/7.97 30.27/7.97 The system was filtered by the following matrix interpretation 30.27/7.97 of type E_J with J = {1,...,2} and dimension 18: 30.27/7.97 30.27/7.97 1 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 0 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 4 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 3 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 5 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 2 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 30.27/7.97 Remains to prove termination of the 30-rule system 30.27/7.97 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.97 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.97 1 0 1 0 -> 1 0 3 2 0 4 4 2 4 2 , 30.27/7.97 1 0 3 1 -> 1 2 3 3 2 4 4 3 0 1 , 30.27/7.97 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.97 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.97 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.97 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.97 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.97 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.97 1 5 4 1 2 5 -> 1 4 4 0 2 4 2 0 3 5 , 30.27/7.97 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.97 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.97 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.97 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.97 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.97 5 2 0 4 5 1 -> 5 2 2 2 3 1 0 4 0 3 , 30.27/7.97 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.97 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.97 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.97 3 1 0 1 5 5 1 -> 2 4 1 1 3 3 3 3 1 1 , 30.27/7.97 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.97 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.97 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.97 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.97 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.97 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.97 4 5 1 0 0 5 1 -> 5 5 2 2 2 5 5 5 1 4 , 30.27/7.97 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 , 30.27/7.97 5 1 4 5 2 5 3 -> 5 5 1 4 2 3 0 0 3 4 } 30.27/7.97 30.27/7.97 30.27/7.97 The system was filtered by the following matrix interpretation 30.27/7.97 of type E_J with J = {1,...,2} and dimension 5: 30.27/7.97 30.27/7.97 1 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 1 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 1 | 30.27/7.97 | 0 0 0 0 1 | 30.27/7.97 \ / 30.27/7.97 0 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 | 0 0 0 1 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 \ / 30.27/7.97 4 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 \ / 30.27/7.97 3 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 \ / 30.27/7.97 5 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 \ / 30.27/7.97 2 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 30.27/7.97 Remains to prove termination of the 28-rule system 30.27/7.97 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.97 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.97 1 0 3 1 -> 1 2 3 3 2 4 4 3 0 1 , 30.27/7.97 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.97 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.97 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.97 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.97 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.97 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.97 1 5 4 1 2 5 -> 1 4 4 0 2 4 2 0 3 5 , 30.27/7.97 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.97 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.97 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.97 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.97 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.97 5 2 0 4 5 1 -> 5 2 2 2 3 1 0 4 0 3 , 30.27/7.97 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.97 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.97 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.97 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.97 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.97 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.97 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.97 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.97 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.97 4 5 1 0 0 5 1 -> 5 5 2 2 2 5 5 5 1 4 , 30.27/7.97 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 , 30.27/7.97 5 1 4 5 2 5 3 -> 5 5 1 4 2 3 0 0 3 4 } 30.27/7.97 30.27/7.97 30.27/7.97 The system was filtered by the following matrix interpretation 30.27/7.97 of type E_J with J = {1,...,2} and dimension 15: 30.27/7.97 30.27/7.97 1 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 0 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 4 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 3 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 5 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 2 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 30.27/7.97 Remains to prove termination of the 26-rule system 30.27/7.97 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.97 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.97 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.97 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.97 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.97 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.97 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.97 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.97 1 5 4 1 2 5 -> 1 4 4 0 2 4 2 0 3 5 , 30.27/7.97 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.97 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.97 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.97 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.97 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.97 5 2 0 4 5 1 -> 5 2 2 2 3 1 0 4 0 3 , 30.27/7.97 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.97 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.97 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.97 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.97 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.97 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.97 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.97 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.97 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.97 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 , 30.27/7.97 5 1 4 5 2 5 3 -> 5 5 1 4 2 3 0 0 3 4 } 30.27/7.97 30.27/7.97 30.27/7.97 The system was filtered by the following matrix interpretation 30.27/7.97 of type E_J with J = {1,...,2} and dimension 18: 30.27/7.97 30.27/7.97 1 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 0 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 4 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 3 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 5 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 2 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 \ / 30.27/7.97 30.27/7.97 Remains to prove termination of the 25-rule system 30.27/7.97 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.97 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.97 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.97 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.97 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.97 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.97 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.97 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.97 1 5 4 1 2 5 -> 1 4 4 0 2 4 2 0 3 5 , 30.27/7.97 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.97 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.97 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.97 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.97 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.97 5 2 0 4 5 1 -> 5 2 2 2 3 1 0 4 0 3 , 30.27/7.97 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.97 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.97 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.97 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.97 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.97 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.97 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.97 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.97 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.97 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.97 30.27/7.97 30.27/7.97 The system was filtered by the following matrix interpretation 30.27/7.97 of type E_J with J = {1,...,2} and dimension 17: 30.27/7.97 30.27/7.97 1 is interpreted by 30.27/7.97 / \ 30.27/7.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 24-rule system 30.27/7.98 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.98 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 1 5 4 1 2 5 -> 1 4 4 0 2 4 2 0 3 5 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.98 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 18: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 23-rule system 30.27/7.98 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.98 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 0 3 5 5 2 0 -> 2 2 0 1 2 0 0 2 3 4 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.98 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 12: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 22-rule system 30.27/7.98 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.98 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 1 0 5 5 3 2 5 -> 3 5 5 3 3 0 2 0 4 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.98 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 19: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 21-rule system 30.27/7.98 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.98 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 2 5 3 0 1 0 -> 2 4 1 2 3 4 3 1 1 2 , 30.27/7.98 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 12: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 1 0 0 0 0 0 1 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 20-rule system 30.27/7.98 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.98 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 1 2 1 1 0 -> 4 5 3 3 0 1 1 4 0 2 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 9: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 1 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 19-rule system 30.27/7.98 { 1 1 0 -> 4 0 1 1 4 0 0 3 3 4 , 30.27/7.98 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 15: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 18-rule system 30.27/7.98 { 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 3 5 3 4 5 3 -> 0 2 2 4 2 2 1 1 1 2 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 17: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 17-rule system 30.27/7.98 { 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 4 5 3 2 1 0 -> 4 0 5 4 1 2 2 2 3 0 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 8: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 16-rule system 30.27/7.98 { 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 4 5 1 0 -> 4 1 4 2 3 4 4 2 4 0 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 11: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 1 0 0 0 0 1 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 15-rule system 30.27/7.98 { 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 1 0 5 2 -> 2 1 4 0 2 5 5 2 2 3 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 0 5 3 4 1 -> 4 2 4 3 0 3 1 1 4 1 , 30.27/7.98 4 4 4 5 0 5 -> 3 4 3 3 2 4 2 4 1 4 , 30.27/7.98 0 5 4 5 3 0 5 -> 0 4 2 4 4 4 3 0 0 5 , 30.27/7.98 3 0 5 3 5 3 0 -> 1 1 2 4 1 2 0 1 4 0 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 8: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 1 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 1 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 1 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 10-rule system 30.27/7.98 { 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 4 4 5 3 0 -> 4 3 1 1 3 2 0 3 3 0 , 30.27/7.98 1 0 0 3 5 4 -> 1 0 3 3 4 1 3 3 4 4 , 30.27/7.98 3 0 5 3 2 5 -> 4 3 1 1 3 3 2 0 0 5 , 30.27/7.98 3 4 2 5 0 2 1 -> 3 0 4 3 2 4 4 0 0 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 3 5 2 3 5 3 4 -> 3 5 1 0 3 0 0 2 4 2 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 2: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 1 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 5-rule system 30.27/7.98 { 0 5 1 0 -> 0 5 2 2 4 3 0 2 2 2 , 30.27/7.98 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 5: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 | 30.27/7.98 | 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 | 30.27/7.98 | 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 4-rule system 30.27/7.98 { 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 0 1 0 2 1 -> 2 2 0 0 0 4 0 1 2 1 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 6: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 3-rule system 30.27/7.98 { 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 3 4 3 2 1 4 4 -> 3 4 3 4 3 0 3 3 0 2 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 8: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 2-rule system 30.27/7.98 { 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 , 30.27/7.98 4 5 1 3 1 2 3 -> 5 4 1 1 1 2 3 4 0 2 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 8: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 1 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 1 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 1 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 1 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 1 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 0 0 0 0 0 0 | 30.27/7.98 | 0 1 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 | 0 0 0 0 0 0 0 1 | 30.27/7.98 | 0 0 0 0 0 0 0 0 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 1-rule system 30.27/7.98 { 2 1 0 5 -> 2 3 4 4 2 0 2 3 0 5 } 30.27/7.98 30.27/7.98 30.27/7.98 The system was filtered by the following matrix interpretation 30.27/7.98 of type E_J with J = {1,...,2} and dimension 2: 30.27/7.98 30.27/7.98 1 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 1 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 0 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 4 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 3 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 5 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 2 is interpreted by 30.27/7.98 / \ 30.27/7.98 | 1 0 | 30.27/7.98 | 0 1 | 30.27/7.98 \ / 30.27/7.98 30.27/7.98 Remains to prove termination of the 0-rule system 30.27/7.98 { } 30.27/7.98 30.27/7.98 30.27/7.98 The system is trivially terminating. 30.59/8.09 EOF