32.31/8.48 YES 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 5: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 42-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 33.01/8.64 0 0 4 5 1 -> 0 3 5 2 2 0 0 3 2 1 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 33.01/8.64 0 0 1 1 3 5 3 -> 1 2 1 5 1 3 0 3 5 3 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 0 5 3 5 -> 0 0 1 3 1 4 4 2 2 5 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 33.01/8.64 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 6: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 41-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 33.01/8.64 0 0 1 1 3 5 3 -> 1 2 1 5 1 3 0 3 5 3 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 0 5 3 5 -> 0 0 1 3 1 4 4 2 2 5 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 33.01/8.64 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 8: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 1 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 40-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 33.01/8.64 0 0 1 1 3 5 3 -> 1 2 1 5 1 3 0 3 5 3 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 33.01/8.64 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 5: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 36-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 33.01/8.64 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 7: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 35-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 33.01/8.64 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 7: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 34-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 33.01/8.64 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 7: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 33-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 33.01/8.64 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 7: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 32-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 33.01/8.64 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 6: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 1 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 26-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 8: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 25-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 7: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 24-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 8: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 23-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 6: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 22-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 8: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 21-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 7: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 20-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 6: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 1 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 19-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 6: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 17-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 5: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 16-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 33.01/8.64 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 8: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 1 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 1 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 1 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 1 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 1 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 1 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 2 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 0 0 0 0 0 1 0 | 33.01/8.64 | 0 0 0 0 0 0 0 0 | 33.01/8.64 | 0 1 0 0 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 33.01/8.64 Remains to prove termination of the 15-rule system 33.01/8.64 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 33.01/8.64 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.64 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.64 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 33.01/8.64 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.64 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.64 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.64 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 33.01/8.64 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 33.01/8.64 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 33.01/8.64 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.64 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.64 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.64 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.64 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 } 33.01/8.64 33.01/8.64 33.01/8.64 The system was filtered by the following matrix interpretation 33.01/8.64 of type E_J with J = {1,...,2} and dimension 4: 33.01/8.64 33.01/8.64 0 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 1 0 | 33.01/8.64 | 0 1 0 0 | 33.01/8.64 | 0 0 0 0 | 33.01/8.64 | 0 0 1 0 | 33.01/8.64 \ / 33.01/8.64 5 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 | 33.01/8.64 | 0 1 0 0 | 33.01/8.64 | 0 0 0 1 | 33.01/8.64 | 0 0 0 0 | 33.01/8.64 \ / 33.01/8.64 3 is interpreted by 33.01/8.64 / \ 33.01/8.64 | 1 0 0 0 | 33.01/8.64 | 0 1 0 0 | 33.01/8.64 | 0 0 0 0 | 33.01/8.64 | 0 1 0 0 | 33.01/8.64 \ / 33.01/8.64 4 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 \ / 33.01/8.65 1 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 2 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 0 1 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 33.01/8.65 Remains to prove termination of the 10-rule system 33.01/8.65 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 33.01/8.65 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.65 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.65 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.65 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.65 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.65 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 33.01/8.65 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.65 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 33.01/8.65 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 } 33.01/8.65 33.01/8.65 33.01/8.65 The system was filtered by the following matrix interpretation 33.01/8.65 of type E_J with J = {1,...,2} and dimension 4: 33.01/8.65 33.01/8.65 0 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 5 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 3 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 0 0 1 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 \ / 33.01/8.65 4 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 \ / 33.01/8.65 1 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 1 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 2 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 | 33.01/8.65 | 0 1 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 | 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 33.01/8.65 Remains to prove termination of the 7-rule system 33.01/8.65 { 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.65 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.65 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 33.01/8.65 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.65 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.65 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.65 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 } 33.01/8.65 33.01/8.65 33.01/8.65 The system was filtered by the following matrix interpretation 33.01/8.65 of type E_J with J = {1,...,2} and dimension 6: 33.01/8.65 33.01/8.65 0 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 5 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 | 33.01/8.65 | 0 0 0 1 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 3 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 1 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 1 0 | 33.01/8.65 | 0 0 0 0 0 1 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 4 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 1 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 1 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 2 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 33.01/8.65 Remains to prove termination of the 6-rule system 33.01/8.65 { 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.65 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.65 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.65 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 33.01/8.65 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.65 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 } 33.01/8.65 33.01/8.65 33.01/8.65 The system was filtered by the following matrix interpretation 33.01/8.65 of type E_J with J = {1,...,2} and dimension 7: 33.01/8.65 33.01/8.65 0 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 1 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 5 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 1 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 1 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 3 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 4 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 1 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 1 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 1 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 2 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 1 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 33.01/8.65 Remains to prove termination of the 5-rule system 33.01/8.65 { 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.65 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.65 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.65 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 33.01/8.65 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 } 33.01/8.65 33.01/8.65 33.01/8.65 The system was filtered by the following matrix interpretation 33.01/8.65 of type E_J with J = {1,...,2} and dimension 8: 33.01/8.65 33.01/8.65 0 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 5 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 1 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 1 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 3 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 1 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 1 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 4 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 1 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 1 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 1 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 2 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 1 | 33.01/8.65 | 0 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 33.01/8.65 Remains to prove termination of the 4-rule system 33.01/8.65 { 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.65 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 33.01/8.65 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.65 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 } 33.01/8.65 33.01/8.65 33.01/8.65 The system was filtered by the following matrix interpretation 33.01/8.65 of type E_J with J = {1,...,2} and dimension 2: 33.01/8.65 33.01/8.65 0 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 5 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 3 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 4 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 1 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 1 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 2 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 33.01/8.65 Remains to prove termination of the 3-rule system 33.01/8.65 { 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.65 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 33.01/8.65 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 } 33.01/8.65 33.01/8.65 33.01/8.65 The system was filtered by the following matrix interpretation 33.01/8.65 of type E_J with J = {1,...,2} and dimension 7: 33.01/8.65 33.01/8.65 0 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 1 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 1 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 5 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 1 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 3 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 1 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 4 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 1 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 1 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 2 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 0 0 0 0 0 | 33.01/8.65 | 0 1 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 | 0 0 0 0 0 0 0 | 33.01/8.65 \ / 33.01/8.65 33.01/8.65 Remains to prove termination of the 2-rule system 33.01/8.65 { 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 33.01/8.65 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 } 33.01/8.65 33.01/8.65 33.01/8.65 The system was filtered by the following matrix interpretation 33.01/8.65 of type E_J with J = {1,...,2} and dimension 2: 33.01/8.65 33.01/8.65 0 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 5 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 1 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 3 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 4 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 1 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 2 is interpreted by 33.01/8.65 / \ 33.01/8.65 | 1 0 | 33.01/8.65 | 0 1 | 33.01/8.65 \ / 33.01/8.65 33.01/8.65 Remains to prove termination of the 0-rule system 33.01/8.65 { } 33.01/8.65 33.01/8.65 33.01/8.65 The system is trivially terminating. 34.00/9.03 EOF