16.06/4.31 YES 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 1 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 46-rule system 16.44/4.43 { 0 1 2 2 -> 0 1 0 2 2 , 16.44/4.43 0 1 2 2 -> 0 1 2 3 2 , 16.44/4.43 0 1 2 2 -> 0 2 2 1 3 , 16.44/4.43 0 1 2 2 -> 1 0 3 2 2 , 16.44/4.43 0 1 2 2 -> 1 2 0 3 2 , 16.44/4.43 0 1 2 2 -> 1 3 0 2 2 , 16.44/4.43 0 1 2 2 -> 1 3 2 0 2 , 16.44/4.43 0 1 2 2 -> 0 1 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 0 2 1 3 2 3 , 16.44/4.43 0 1 2 2 -> 1 2 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 2 0 3 1 3 2 , 16.44/4.43 0 1 2 2 -> 2 1 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 2 1 3 0 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 3 3 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 5 3 0 2 , 16.44/4.43 0 1 2 2 -> 2 2 1 3 0 5 , 16.44/4.43 0 1 2 2 -> 2 4 1 3 2 0 , 16.44/4.43 0 1 4 5 -> 1 5 0 4 1 , 16.44/4.43 0 1 4 5 -> 5 0 4 1 5 , 16.44/4.43 0 1 4 5 -> 5 4 1 5 0 , 16.44/4.43 0 1 4 5 -> 1 1 5 0 4 1 , 16.44/4.43 0 1 4 5 -> 5 4 1 5 5 0 , 16.44/4.43 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 1 1 4 5 -> 3 1 0 4 1 5 , 16.44/4.43 0 1 2 2 2 -> 1 0 2 2 5 2 , 16.44/4.43 0 1 2 2 5 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 4 5 -> 2 5 1 0 4 5 , 16.44/4.43 0 1 4 5 2 -> 1 0 4 2 0 5 , 16.44/4.43 0 1 4 5 5 -> 5 0 4 0 1 5 , 16.44/4.43 0 1 5 4 5 -> 1 5 0 4 1 5 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 , 16.44/4.43 5 0 1 2 2 -> 1 3 2 0 5 2 , 16.44/4.43 5 1 2 2 5 -> 1 5 2 3 2 5 , 16.44/4.43 5 2 1 2 2 -> 2 1 3 5 2 2 , 16.44/4.43 5 2 4 0 5 -> 0 4 2 5 5 5 , 16.44/4.43 5 2 4 0 5 -> 0 4 5 4 2 5 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 5: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 39-rule system 16.44/4.43 { 0 1 2 2 -> 0 1 0 2 2 , 16.44/4.43 0 1 2 2 -> 0 1 2 3 2 , 16.44/4.43 0 1 2 2 -> 0 2 2 1 3 , 16.44/4.43 0 1 2 2 -> 1 0 3 2 2 , 16.44/4.43 0 1 2 2 -> 1 2 0 3 2 , 16.44/4.43 0 1 2 2 -> 1 3 0 2 2 , 16.44/4.43 0 1 2 2 -> 1 3 2 0 2 , 16.44/4.43 0 1 2 2 -> 0 1 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 0 2 1 3 2 3 , 16.44/4.43 0 1 2 2 -> 1 2 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 2 0 3 1 3 2 , 16.44/4.43 0 1 2 2 -> 2 1 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 2 1 3 0 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 3 3 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 5 3 0 2 , 16.44/4.43 0 1 2 2 -> 2 2 1 3 0 5 , 16.44/4.43 0 1 2 2 -> 2 4 1 3 2 0 , 16.44/4.43 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 1 1 4 5 -> 3 1 0 4 1 5 , 16.44/4.43 0 1 2 2 2 -> 1 0 2 2 5 2 , 16.44/4.43 0 1 2 2 5 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 4 5 -> 2 5 1 0 4 5 , 16.44/4.43 0 1 5 4 5 -> 1 5 0 4 1 5 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 , 16.44/4.43 5 0 1 2 2 -> 1 3 2 0 5 2 , 16.44/4.43 5 1 2 2 5 -> 1 5 2 3 2 5 , 16.44/4.43 5 2 1 2 2 -> 2 1 3 5 2 2 , 16.44/4.43 5 2 4 0 5 -> 0 4 2 5 5 5 , 16.44/4.43 5 2 4 0 5 -> 0 4 5 4 2 5 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 1 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 38-rule system 16.44/4.43 { 0 1 2 2 -> 0 1 0 2 2 , 16.44/4.43 0 1 2 2 -> 0 1 2 3 2 , 16.44/4.43 0 1 2 2 -> 0 2 2 1 3 , 16.44/4.43 0 1 2 2 -> 1 0 3 2 2 , 16.44/4.43 0 1 2 2 -> 1 2 0 3 2 , 16.44/4.43 0 1 2 2 -> 1 3 0 2 2 , 16.44/4.43 0 1 2 2 -> 1 3 2 0 2 , 16.44/4.43 0 1 2 2 -> 0 1 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 0 2 1 3 2 3 , 16.44/4.43 0 1 2 2 -> 1 2 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 2 0 3 1 3 2 , 16.44/4.43 0 1 2 2 -> 2 1 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 2 1 3 0 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 3 3 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 5 3 0 2 , 16.44/4.43 0 1 2 2 -> 2 2 1 3 0 5 , 16.44/4.43 0 1 2 2 -> 2 4 1 3 2 0 , 16.44/4.43 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 1 2 2 2 -> 1 0 2 2 5 2 , 16.44/4.43 0 1 2 2 5 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 4 5 -> 2 5 1 0 4 5 , 16.44/4.43 0 1 5 4 5 -> 1 5 0 4 1 5 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 , 16.44/4.43 5 0 1 2 2 -> 1 3 2 0 5 2 , 16.44/4.43 5 1 2 2 5 -> 1 5 2 3 2 5 , 16.44/4.43 5 2 1 2 2 -> 2 1 3 5 2 2 , 16.44/4.43 5 2 4 0 5 -> 0 4 2 5 5 5 , 16.44/4.43 5 2 4 0 5 -> 0 4 5 4 2 5 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 1 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 37-rule system 16.44/4.43 { 0 1 2 2 -> 0 1 0 2 2 , 16.44/4.43 0 1 2 2 -> 0 1 2 3 2 , 16.44/4.43 0 1 2 2 -> 0 2 2 1 3 , 16.44/4.43 0 1 2 2 -> 1 0 3 2 2 , 16.44/4.43 0 1 2 2 -> 1 2 0 3 2 , 16.44/4.43 0 1 2 2 -> 1 3 0 2 2 , 16.44/4.43 0 1 2 2 -> 1 3 2 0 2 , 16.44/4.43 0 1 2 2 -> 0 1 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 0 2 1 3 2 3 , 16.44/4.43 0 1 2 2 -> 1 2 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 2 0 3 1 3 2 , 16.44/4.43 0 1 2 2 -> 2 1 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 2 1 3 0 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 3 3 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 5 3 0 2 , 16.44/4.43 0 1 2 2 -> 2 2 1 3 0 5 , 16.44/4.43 0 1 2 2 -> 2 4 1 3 2 0 , 16.44/4.43 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 1 2 2 2 -> 1 0 2 2 5 2 , 16.44/4.43 0 1 2 2 5 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 5 4 5 -> 1 5 0 4 1 5 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 , 16.44/4.43 5 0 1 2 2 -> 1 3 2 0 5 2 , 16.44/4.43 5 1 2 2 5 -> 1 5 2 3 2 5 , 16.44/4.43 5 2 1 2 2 -> 2 1 3 5 2 2 , 16.44/4.43 5 2 4 0 5 -> 0 4 2 5 5 5 , 16.44/4.43 5 2 4 0 5 -> 0 4 5 4 2 5 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 1 0 0 1 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 36-rule system 16.44/4.43 { 0 1 2 2 -> 0 1 0 2 2 , 16.44/4.43 0 1 2 2 -> 0 1 2 3 2 , 16.44/4.43 0 1 2 2 -> 0 2 2 1 3 , 16.44/4.43 0 1 2 2 -> 1 0 3 2 2 , 16.44/4.43 0 1 2 2 -> 1 2 0 3 2 , 16.44/4.43 0 1 2 2 -> 1 3 0 2 2 , 16.44/4.43 0 1 2 2 -> 1 3 2 0 2 , 16.44/4.43 0 1 2 2 -> 0 1 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 0 2 1 3 2 3 , 16.44/4.43 0 1 2 2 -> 1 2 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 2 0 3 1 3 2 , 16.44/4.43 0 1 2 2 -> 2 1 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 2 1 3 0 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 3 3 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 5 3 0 2 , 16.44/4.43 0 1 2 2 -> 2 2 1 3 0 5 , 16.44/4.43 0 1 2 2 -> 2 4 1 3 2 0 , 16.44/4.43 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 1 2 2 2 -> 1 0 2 2 5 2 , 16.44/4.43 0 1 5 4 5 -> 1 5 0 4 1 5 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 , 16.44/4.43 5 0 1 2 2 -> 1 3 2 0 5 2 , 16.44/4.43 5 1 2 2 5 -> 1 5 2 3 2 5 , 16.44/4.43 5 2 1 2 2 -> 2 1 3 5 2 2 , 16.44/4.43 5 2 4 0 5 -> 0 4 2 5 5 5 , 16.44/4.43 5 2 4 0 5 -> 0 4 5 4 2 5 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 1 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 35-rule system 16.44/4.43 { 0 1 2 2 -> 0 1 0 2 2 , 16.44/4.43 0 1 2 2 -> 0 1 2 3 2 , 16.44/4.43 0 1 2 2 -> 0 2 2 1 3 , 16.44/4.43 0 1 2 2 -> 1 0 3 2 2 , 16.44/4.43 0 1 2 2 -> 1 2 0 3 2 , 16.44/4.43 0 1 2 2 -> 1 3 0 2 2 , 16.44/4.43 0 1 2 2 -> 1 3 2 0 2 , 16.44/4.43 0 1 2 2 -> 0 1 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 0 2 1 3 2 3 , 16.44/4.43 0 1 2 2 -> 1 2 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 2 0 3 1 3 2 , 16.44/4.43 0 1 2 2 -> 2 1 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 2 1 3 0 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 3 3 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 5 3 0 2 , 16.44/4.43 0 1 2 2 -> 2 2 1 3 0 5 , 16.44/4.43 0 1 2 2 -> 2 4 1 3 2 0 , 16.44/4.43 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 1 2 2 2 -> 1 0 2 2 5 2 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 , 16.44/4.43 5 0 1 2 2 -> 1 3 2 0 5 2 , 16.44/4.43 5 1 2 2 5 -> 1 5 2 3 2 5 , 16.44/4.43 5 2 1 2 2 -> 2 1 3 5 2 2 , 16.44/4.43 5 2 4 0 5 -> 0 4 2 5 5 5 , 16.44/4.43 5 2 4 0 5 -> 0 4 5 4 2 5 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 1 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 34-rule system 16.44/4.43 { 0 1 2 2 -> 0 1 0 2 2 , 16.44/4.43 0 1 2 2 -> 0 1 2 3 2 , 16.44/4.43 0 1 2 2 -> 0 2 2 1 3 , 16.44/4.43 0 1 2 2 -> 1 0 3 2 2 , 16.44/4.43 0 1 2 2 -> 1 2 0 3 2 , 16.44/4.43 0 1 2 2 -> 1 3 0 2 2 , 16.44/4.43 0 1 2 2 -> 1 3 2 0 2 , 16.44/4.43 0 1 2 2 -> 0 1 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 0 2 1 3 2 3 , 16.44/4.43 0 1 2 2 -> 1 2 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 2 0 3 1 3 2 , 16.44/4.43 0 1 2 2 -> 2 1 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 2 1 3 0 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 3 3 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 5 3 0 2 , 16.44/4.43 0 1 2 2 -> 2 2 1 3 0 5 , 16.44/4.43 0 1 2 2 -> 2 4 1 3 2 0 , 16.44/4.43 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 1 2 2 2 -> 1 0 2 2 5 2 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 , 16.44/4.43 5 0 1 2 2 -> 1 3 2 0 5 2 , 16.44/4.43 5 2 1 2 2 -> 2 1 3 5 2 2 , 16.44/4.43 5 2 4 0 5 -> 0 4 2 5 5 5 , 16.44/4.43 5 2 4 0 5 -> 0 4 5 4 2 5 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 1 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 32-rule system 16.44/4.43 { 0 1 2 2 -> 0 1 0 2 2 , 16.44/4.43 0 1 2 2 -> 0 1 2 3 2 , 16.44/4.43 0 1 2 2 -> 0 2 2 1 3 , 16.44/4.43 0 1 2 2 -> 1 0 3 2 2 , 16.44/4.43 0 1 2 2 -> 1 2 0 3 2 , 16.44/4.43 0 1 2 2 -> 1 3 0 2 2 , 16.44/4.43 0 1 2 2 -> 1 3 2 0 2 , 16.44/4.43 0 1 2 2 -> 0 1 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 0 2 1 3 2 3 , 16.44/4.43 0 1 2 2 -> 1 2 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 1 5 0 4 2 2 , 16.44/4.43 0 1 2 2 -> 2 0 3 1 3 2 , 16.44/4.43 0 1 2 2 -> 2 1 1 0 4 2 , 16.44/4.43 0 1 2 2 -> 2 1 3 0 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 3 3 2 0 , 16.44/4.43 0 1 2 2 -> 2 1 5 3 0 2 , 16.44/4.43 0 1 2 2 -> 2 2 1 3 0 5 , 16.44/4.43 0 1 2 2 -> 2 4 1 3 2 0 , 16.44/4.43 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 1 2 2 2 -> 1 0 2 2 5 2 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 , 16.44/4.43 5 0 1 2 2 -> 1 3 2 0 5 2 , 16.44/4.43 5 2 1 2 2 -> 2 1 3 5 2 2 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 5: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 1 0 0 | 16.44/4.43 | 0 0 1 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 11-rule system 16.44/4.43 { 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 0 5 1 2 2 -> 0 1 3 2 5 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 1 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 5 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 16.44/4.43 Remains to prove termination of the 10-rule system 16.44/4.43 { 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.43 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.43 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.43 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.43 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.43 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.43 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.43 5 1 2 2 -> 5 1 2 0 4 2 , 16.44/4.43 3 3 1 2 2 -> 1 3 2 0 3 2 } 16.44/4.43 16.44/4.43 16.44/4.43 The system was filtered by the following matrix interpretation 16.44/4.43 of type E_J with J = {1,...,2} and dimension 6: 16.44/4.43 16.44/4.43 0 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 1 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 1 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 2 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 1 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 1 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 3 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 1 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 1 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.43 4 is interpreted by 16.44/4.43 / \ 16.44/4.43 | 1 0 0 0 0 0 | 16.44/4.43 | 0 1 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 | 0 0 0 0 0 0 | 16.44/4.43 \ / 16.44/4.44 5 is interpreted by 16.44/4.44 / \ 16.44/4.44 | 1 0 0 0 0 0 | 16.44/4.44 | 0 1 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 0 | 16.44/4.44 | 0 1 0 0 0 0 | 16.44/4.44 \ / 16.44/4.44 16.44/4.44 Remains to prove termination of the 9-rule system 16.44/4.44 { 5 1 2 2 -> 1 0 2 2 5 , 16.44/4.44 5 1 2 2 -> 1 3 5 2 2 , 16.44/4.44 5 1 2 2 -> 1 5 2 3 2 , 16.44/4.44 5 1 2 2 -> 1 5 0 2 2 3 , 16.44/4.44 5 1 2 2 -> 2 1 0 3 2 5 , 16.44/4.44 5 1 2 2 -> 3 1 3 5 2 2 , 16.44/4.44 5 1 2 2 -> 4 1 3 2 2 5 , 16.44/4.44 5 1 2 2 -> 5 1 0 4 2 2 , 16.44/4.44 5 1 2 2 -> 5 1 2 0 4 2 } 16.44/4.44 16.44/4.44 16.44/4.44 The system was filtered by the following matrix interpretation 16.44/4.44 of type E_J with J = {1,...,2} and dimension 5: 16.44/4.44 16.44/4.44 0 is interpreted by 16.44/4.44 / \ 16.44/4.44 | 1 0 0 0 0 | 16.44/4.44 | 0 1 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 \ / 16.44/4.44 1 is interpreted by 16.44/4.44 / \ 16.44/4.44 | 1 0 0 0 0 | 16.44/4.44 | 0 1 0 0 0 | 16.44/4.44 | 0 0 0 1 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 \ / 16.44/4.44 2 is interpreted by 16.44/4.44 / \ 16.44/4.44 | 1 0 1 0 0 | 16.44/4.44 | 0 1 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 1 | 16.44/4.44 | 0 1 0 0 0 | 16.44/4.44 \ / 16.44/4.44 3 is interpreted by 16.44/4.44 / \ 16.44/4.44 | 1 0 0 0 0 | 16.44/4.44 | 0 1 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 \ / 16.44/4.44 4 is interpreted by 16.44/4.44 / \ 16.44/4.44 | 1 0 0 0 0 | 16.44/4.44 | 0 1 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 \ / 16.44/4.44 5 is interpreted by 16.44/4.44 / \ 16.44/4.44 | 1 0 1 0 0 | 16.44/4.44 | 0 1 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 0 0 0 0 | 16.44/4.44 | 0 1 0 0 0 | 16.44/4.44 \ / 16.44/4.44 16.44/4.44 Remains to prove termination of the 0-rule system 16.44/4.44 { } 16.44/4.44 16.44/4.44 16.44/4.44 The system is trivially terminating. 16.44/4.46 EOF