15.97/4.29 YES 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 10: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 1 0 0 0 0 0 1 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 43-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 5 5 5 -> 5 2 1 3 1 1 1 3 2 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 4 5 5 4 -> 4 4 4 4 0 1 3 2 1 3 , 16.63/4.45 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 1 0 5 5 5 -> 1 1 5 0 3 2 3 4 1 5 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 2 1 5 5 -> 2 3 3 2 5 1 3 3 3 3 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 5 4 4 2 5 1 -> 5 0 2 0 0 2 2 3 1 4 , 16.63/4.45 5 5 5 5 5 4 -> 5 3 3 3 5 4 0 1 4 1 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 16.63/4.45 1 5 0 5 3 0 5 -> 1 4 3 1 4 1 3 5 3 5 , 16.63/4.45 2 3 5 5 5 2 5 -> 2 3 2 5 0 0 0 2 4 0 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 4 5 5 5 5 5 -> 3 1 1 5 2 2 4 5 3 5 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 16.63/4.45 4 5 4 0 1 0 5 -> 1 4 4 5 1 2 3 4 3 3 , 16.63/4.45 5 1 0 5 4 4 5 -> 5 4 3 5 5 3 3 1 4 3 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 42-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 5 5 5 -> 5 2 1 3 1 1 1 3 2 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 4 5 5 4 -> 4 4 4 4 0 1 3 2 1 3 , 16.63/4.45 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 1 0 5 5 5 -> 1 1 5 0 3 2 3 4 1 5 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 2 1 5 5 -> 2 3 3 2 5 1 3 3 3 3 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 5 4 4 2 5 1 -> 5 0 2 0 0 2 2 3 1 4 , 16.63/4.45 5 5 5 5 5 4 -> 5 3 3 3 5 4 0 1 4 1 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 16.63/4.45 1 5 0 5 3 0 5 -> 1 4 3 1 4 1 3 5 3 5 , 16.63/4.45 2 3 5 5 5 2 5 -> 2 3 2 5 0 0 0 2 4 0 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 4 5 5 5 5 5 -> 3 1 1 5 2 2 4 5 3 5 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 16.63/4.45 4 5 4 0 1 0 5 -> 1 4 4 5 1 2 3 4 3 3 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 13: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 41-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 5 5 5 -> 5 2 1 3 1 1 1 3 2 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 4 5 5 4 -> 4 4 4 4 0 1 3 2 1 3 , 16.63/4.45 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 1 0 5 5 5 -> 1 1 5 0 3 2 3 4 1 5 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 2 1 5 5 -> 2 3 3 2 5 1 3 3 3 3 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 5 5 5 5 5 4 -> 5 3 3 3 5 4 0 1 4 1 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 16.63/4.45 1 5 0 5 3 0 5 -> 1 4 3 1 4 1 3 5 3 5 , 16.63/4.45 2 3 5 5 5 2 5 -> 2 3 2 5 0 0 0 2 4 0 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 4 5 5 5 5 5 -> 3 1 1 5 2 2 4 5 3 5 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 16.63/4.45 4 5 4 0 1 0 5 -> 1 4 4 5 1 2 3 4 3 3 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 4: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 1 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 34-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 16.63/4.45 1 5 0 5 3 0 5 -> 1 4 3 1 4 1 3 5 3 5 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 16.63/4.45 4 5 4 0 1 0 5 -> 1 4 4 5 1 2 3 4 3 3 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 33-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 16.63/4.45 1 5 0 5 3 0 5 -> 1 4 3 1 4 1 3 5 3 5 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 6: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 32-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 16.63/4.45 1 5 0 5 3 0 5 -> 1 4 3 1 4 1 3 5 3 5 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 31-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 1 5 0 5 3 0 5 -> 1 4 3 1 4 1 3 5 3 5 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 30-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 5: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 1 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 29-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 5: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 1 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 26-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 6: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 25-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 1 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 24-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 7: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 23-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 5: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 22-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 7: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 1 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 21-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 20-rule system 16.63/4.45 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 16.63/4.45 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 16.63/4.45 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 16.63/4.45 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 16.63/4.45 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 16.63/4.45 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 4: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 1 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 1 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 | 16.63/4.45 | 0 1 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 | 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 13-rule system 16.63/4.45 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 7: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 12-rule system 16.63/4.45 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 11-rule system 16.63/4.45 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 10-rule system 16.63/4.45 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 5: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 9-rule system 16.63/4.45 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.45 of type E_J with J = {1,...,2} and dimension 6: 16.63/4.45 16.63/4.45 1 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 5 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 1 0 | 16.63/4.45 | 0 0 0 0 0 1 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 3 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 1 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 0 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 1 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 4 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 2 is interpreted by 16.63/4.45 / \ 16.63/4.45 | 1 0 0 0 0 0 | 16.63/4.45 | 0 1 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 | 0 0 0 0 0 0 | 16.63/4.45 \ / 16.63/4.45 16.63/4.45 Remains to prove termination of the 8-rule system 16.63/4.45 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.45 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.45 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.45 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.45 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 16.63/4.45 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.45 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.45 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.45 16.63/4.45 16.63/4.45 The system was filtered by the following matrix interpretation 16.63/4.46 of type E_J with J = {1,...,2} and dimension 7: 16.63/4.46 16.63/4.46 1 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 1 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 5 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 1 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 3 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 0 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 1 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 4 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 | 0 0 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 2 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 16.63/4.46 Remains to prove termination of the 7-rule system 16.63/4.46 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 16.63/4.46 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.46 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.46 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.46 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.46 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.46 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.46 16.63/4.46 16.63/4.46 The system was filtered by the following matrix interpretation 16.63/4.46 of type E_J with J = {1,...,2} and dimension 5: 16.63/4.46 16.63/4.46 1 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 1 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 5 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 3 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 1 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 0 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 1 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 4 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 1 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 \ / 16.63/4.46 2 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 16.63/4.46 Remains to prove termination of the 6-rule system 16.63/4.46 { 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.46 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 16.63/4.46 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.46 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 16.63/4.46 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.46 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.46 16.63/4.46 16.63/4.46 The system was filtered by the following matrix interpretation 16.63/4.46 of type E_J with J = {1,...,2} and dimension 5: 16.63/4.46 16.63/4.46 1 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 1 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 1 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 5 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 3 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 0 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 4 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 1 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 \ / 16.63/4.46 2 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 1 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 \ / 16.63/4.46 16.63/4.46 Remains to prove termination of the 4-rule system 16.63/4.46 { 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 16.63/4.46 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.46 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.46 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.46 16.63/4.46 16.63/4.46 The system was filtered by the following matrix interpretation 16.63/4.46 of type E_J with J = {1,...,2} and dimension 5: 16.63/4.46 16.63/4.46 1 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 5 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 1 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 \ / 16.63/4.46 3 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 1 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 0 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 1 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 4 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 2 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 16.63/4.46 Remains to prove termination of the 3-rule system 16.63/4.46 { 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.46 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 16.63/4.46 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 16.63/4.46 16.63/4.46 16.63/4.46 The system was filtered by the following matrix interpretation 16.63/4.46 of type E_J with J = {1,...,2} and dimension 2: 16.63/4.46 16.63/4.46 1 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 5 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 3 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 0 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 1 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 4 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 1 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 2 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 16.63/4.46 Remains to prove termination of the 2-rule system 16.63/4.46 { 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 16.63/4.46 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 } 16.63/4.46 16.63/4.46 16.63/4.46 The system was filtered by the following matrix interpretation 16.63/4.46 of type E_J with J = {1,...,2} and dimension 8: 16.63/4.46 16.63/4.46 1 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 5 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 1 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 3 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 1 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 0 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 1 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 4 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 1 0 0 | 16.63/4.46 | 0 0 0 0 0 0 1 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 2 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 0 0 0 0 0 0 | 16.63/4.46 | 0 1 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 | 0 0 0 0 0 0 0 1 | 16.63/4.46 | 0 0 0 0 0 0 0 0 | 16.63/4.46 \ / 16.63/4.46 16.63/4.46 Remains to prove termination of the 1-rule system 16.63/4.46 { 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 } 16.63/4.46 16.63/4.46 16.63/4.46 The system was filtered by the following matrix interpretation 16.63/4.46 of type E_J with J = {1,...,2} and dimension 2: 16.63/4.46 16.63/4.46 1 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 5 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 3 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 0 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 4 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 1 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 2 is interpreted by 16.63/4.46 / \ 16.63/4.46 | 1 0 | 16.63/4.46 | 0 1 | 16.63/4.46 \ / 16.63/4.46 16.63/4.46 Remains to prove termination of the 0-rule system 16.63/4.46 { } 16.63/4.46 16.63/4.46 16.63/4.46 The system is trivially terminating. 17.89/5.05 EOF