17.64/4.73 YES 18.31/4.87 18.31/4.87 18.31/4.87 The system was filtered by the following matrix interpretation 18.31/4.87 of type E_J with J = {1,...,2} and dimension 6: 18.31/4.87 18.31/4.87 3 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 0 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 1 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 1 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 1 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 1 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 2 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 1 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 4 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 | 18.31/4.87 | 0 0 0 1 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 5 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 | 18.31/4.87 | 0 0 1 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 18.31/4.87 Remains to prove termination of the 41-rule system 18.31/4.87 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.87 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.87 0 4 0 1 -> 5 3 2 2 2 3 2 2 3 1 , 18.31/4.87 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.87 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.87 5 0 0 4 -> 5 2 3 1 1 0 5 4 4 4 , 18.31/4.87 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.87 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.87 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.87 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.87 5 0 0 4 1 -> 1 3 1 1 2 2 3 0 0 3 , 18.31/4.87 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.87 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.87 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.87 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.87 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.87 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.87 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.87 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.87 5 0 0 0 4 0 -> 5 0 5 3 4 1 1 0 3 4 , 18.31/4.87 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.87 0 0 0 3 2 4 3 -> 5 2 2 5 5 4 0 1 2 3 , 18.31/4.87 0 0 2 4 0 5 0 -> 5 2 2 4 1 0 4 4 3 4 , 18.31/4.87 0 1 5 2 0 4 3 -> 0 1 1 1 3 2 0 3 4 3 , 18.31/4.87 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.87 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.87 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.87 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.87 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.87 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.87 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.87 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.87 2 5 3 0 4 3 2 -> 2 2 5 3 0 3 3 0 3 0 , 18.31/4.87 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.87 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.87 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.87 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.87 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.87 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.87 5 0 1 0 5 0 0 -> 5 0 0 1 1 3 4 3 0 0 , 18.31/4.87 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.87 18.31/4.87 18.31/4.87 The system was filtered by the following matrix interpretation 18.31/4.87 of type E_J with J = {1,...,2} and dimension 5: 18.31/4.87 18.31/4.87 3 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 | 18.31/4.87 | 0 0 1 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 0 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 | 18.31/4.87 | 0 0 0 1 0 | 18.31/4.87 | 0 0 0 0 1 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 1 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 | 0 0 1 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 2 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 4 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 | 18.31/4.87 \ / 18.31/4.87 5 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 1 0 0 | 18.31/4.87 | 0 1 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 1 | 18.31/4.87 \ / 18.31/4.87 18.31/4.87 Remains to prove termination of the 39-rule system 18.31/4.87 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.87 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.87 0 4 0 1 -> 5 3 2 2 2 3 2 2 3 1 , 18.31/4.87 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.87 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.87 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.87 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.87 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.87 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.87 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.87 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.87 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.87 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.87 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.87 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.87 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.87 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.87 5 0 0 0 4 0 -> 5 0 5 3 4 1 1 0 3 4 , 18.31/4.87 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.87 0 0 0 3 2 4 3 -> 5 2 2 5 5 4 0 1 2 3 , 18.31/4.87 0 0 2 4 0 5 0 -> 5 2 2 4 1 0 4 4 3 4 , 18.31/4.87 0 1 5 2 0 4 3 -> 0 1 1 1 3 2 0 3 4 3 , 18.31/4.87 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.87 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.87 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.87 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.87 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.87 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.87 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.87 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.87 2 5 3 0 4 3 2 -> 2 2 5 3 0 3 3 0 3 0 , 18.31/4.87 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.87 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.87 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.87 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.87 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.87 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.87 5 0 1 0 5 0 0 -> 5 0 0 1 1 3 4 3 0 0 , 18.31/4.87 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.87 18.31/4.87 18.31/4.87 The system was filtered by the following matrix interpretation 18.31/4.87 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.87 18.31/4.87 3 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 1 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 0 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 1 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 1 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 1 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 1 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 1 0 1 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 2 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 4 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 5 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 1 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 1 0 0 0 1 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 18.31/4.87 Remains to prove termination of the 38-rule system 18.31/4.87 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.87 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.87 0 4 0 1 -> 5 3 2 2 2 3 2 2 3 1 , 18.31/4.87 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.87 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.87 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.87 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.87 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.87 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.87 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.87 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.87 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.87 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.87 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.87 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.87 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.87 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.87 5 0 0 0 4 0 -> 5 0 5 3 4 1 1 0 3 4 , 18.31/4.87 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.87 0 0 0 3 2 4 3 -> 5 2 2 5 5 4 0 1 2 3 , 18.31/4.87 0 0 2 4 0 5 0 -> 5 2 2 4 1 0 4 4 3 4 , 18.31/4.87 0 1 5 2 0 4 3 -> 0 1 1 1 3 2 0 3 4 3 , 18.31/4.87 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.87 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.87 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.87 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.87 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.87 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.87 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.87 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.87 2 5 3 0 4 3 2 -> 2 2 5 3 0 3 3 0 3 0 , 18.31/4.87 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.87 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.87 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.87 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.87 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.87 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.87 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.87 18.31/4.87 18.31/4.87 The system was filtered by the following matrix interpretation 18.31/4.87 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.87 18.31/4.87 3 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 | 18.31/4.87 | 0 0 1 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 0 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 | 18.31/4.87 | 0 0 0 1 0 0 0 | 18.31/4.87 | 0 0 0 0 1 0 0 | 18.31/4.87 | 0 0 0 0 0 1 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 1 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 1 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 2 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 4 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 1 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 5 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 1 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 18.31/4.87 Remains to prove termination of the 37-rule system 18.31/4.87 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.87 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.87 0 4 0 1 -> 5 3 2 2 2 3 2 2 3 1 , 18.31/4.87 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.87 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.87 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.87 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.87 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.87 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.87 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.87 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.87 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.87 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.87 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.87 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.87 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.87 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.87 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.87 0 0 0 3 2 4 3 -> 5 2 2 5 5 4 0 1 2 3 , 18.31/4.87 0 0 2 4 0 5 0 -> 5 2 2 4 1 0 4 4 3 4 , 18.31/4.87 0 1 5 2 0 4 3 -> 0 1 1 1 3 2 0 3 4 3 , 18.31/4.87 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.87 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.87 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.87 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.87 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.87 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.87 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.87 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.87 2 5 3 0 4 3 2 -> 2 2 5 3 0 3 3 0 3 0 , 18.31/4.87 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.87 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.87 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.87 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.87 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.87 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.87 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.87 18.31/4.87 18.31/4.87 The system was filtered by the following matrix interpretation 18.31/4.87 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.87 18.31/4.87 3 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 1 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 1 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 0 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 1 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 1 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 1 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 2 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 1 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 4 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 1 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 5 is interpreted by 18.31/4.87 / \ 18.31/4.87 | 1 0 0 0 0 0 0 0 | 18.31/4.87 | 0 1 0 0 0 0 0 0 | 18.31/4.87 | 0 0 1 1 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 | 0 0 0 0 0 0 0 0 | 18.31/4.87 \ / 18.31/4.87 18.31/4.87 Remains to prove termination of the 36-rule system 18.31/4.87 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.87 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.87 0 4 0 1 -> 5 3 2 2 2 3 2 2 3 1 , 18.31/4.87 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.88 0 0 0 3 2 4 3 -> 5 2 2 5 5 4 0 1 2 3 , 18.31/4.88 0 0 2 4 0 5 0 -> 5 2 2 4 1 0 4 4 3 4 , 18.31/4.88 0 1 5 2 0 4 3 -> 0 1 1 1 3 2 0 3 4 3 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.88 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 35-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 0 4 0 1 -> 5 3 2 2 2 3 2 2 3 1 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.88 0 0 2 4 0 5 0 -> 5 2 2 4 1 0 4 4 3 4 , 18.31/4.88 0 1 5 2 0 4 3 -> 0 1 1 1 3 2 0 3 4 3 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.88 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 34-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 0 4 0 1 -> 5 3 2 2 2 3 2 2 3 1 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.88 0 0 2 4 0 5 0 -> 5 2 2 4 1 0 4 4 3 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.88 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 33-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 0 4 0 1 -> 5 3 2 2 2 3 2 2 3 1 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.88 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 5: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 32-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 2 4 3 3 2 5 3 -> 2 4 4 2 3 2 2 4 4 5 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.88 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 11: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 31-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 , 18.31/4.88 5 4 0 1 4 0 1 -> 4 1 4 5 3 5 1 2 4 1 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 30-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 2 0 1 4 4 -> 2 0 2 3 5 4 3 0 1 3 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 29-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 5 4 2 0 0 5 -> 5 4 5 1 1 0 5 2 1 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 1 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 28-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 0 5 3 0 5 0 -> 2 5 5 1 2 1 1 4 4 0 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 27-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 0 0 3 -> 5 2 5 1 1 2 5 1 0 1 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 13: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 26-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 0 4 3 3 0 0 5 -> 2 5 4 1 3 3 3 0 0 5 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 25-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 0 0 5 0 0 0 -> 0 3 4 5 4 4 4 0 4 4 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 1 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 24-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 , 18.31/4.88 4 3 3 2 3 4 3 -> 4 0 3 0 3 3 3 5 4 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 23-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 0 0 3 -> 5 3 3 4 2 3 5 5 2 3 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 5: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 1 1 0 | 18.31/4.88 | 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 | 18.31/4.88 | 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 22-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 2 0 4 2 5 3 -> 2 1 4 2 3 1 5 5 4 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 21-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 1 0 0 1 0 -> 1 0 4 4 5 2 2 3 3 2 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 6: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 20-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 0 0 0 4 3 -> 1 5 5 2 2 4 3 2 3 3 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 19-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 3 2 4 5 0 -> 1 1 1 0 3 3 1 5 2 0 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 18-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 3 0 5 3 2 -> 1 2 3 0 3 3 1 5 2 2 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 1 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 1 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 17-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 0 0 0 5 4 1 -> 1 2 3 1 0 2 4 3 4 1 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 18.31/4.88 Remains to prove termination of the 16-rule system 18.31/4.88 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.88 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.88 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.88 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.88 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.88 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.88 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.88 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.88 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.88 1 3 2 1 2 0 1 -> 1 4 2 1 3 1 1 5 3 1 , 18.31/4.88 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.88 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.88 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.88 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.88 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.88 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.88 18.31/4.88 18.31/4.88 The system was filtered by the following matrix interpretation 18.31/4.88 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.88 18.31/4.88 3 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 1 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 0 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 1 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 1 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 1 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 1 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 2 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 1 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 1 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 4 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 \ / 18.31/4.88 5 is interpreted by 18.31/4.88 / \ 18.31/4.88 | 1 0 0 0 0 0 0 0 | 18.31/4.88 | 0 1 0 0 0 0 0 0 | 18.31/4.88 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 15-rule system 18.31/4.89 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.89 0 0 1 4 -> 5 2 3 5 5 2 5 1 1 4 , 18.31/4.89 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.89 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.89 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.89 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.89 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.89 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.89 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.89 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.89 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.89 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.89 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 5: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 1 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 1 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 14-rule system 18.31/4.89 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.89 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.89 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.89 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.89 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.89 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.89 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.89 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.89 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.89 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.89 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 , 18.31/4.89 4 3 2 0 1 0 5 -> 4 3 1 3 3 0 1 0 3 4 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 1 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 1 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 1 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 1 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 1 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 13-rule system 18.31/4.89 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.89 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.89 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.89 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.89 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.89 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.89 4 1 4 4 0 4 -> 4 1 3 3 1 5 0 2 4 4 , 18.31/4.89 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.89 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.89 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.89 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 7: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 | 18.31/4.89 | 0 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 1 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 | 18.31/4.89 | 0 0 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 1 0 0 | 18.31/4.89 | 0 0 0 0 0 1 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 12-rule system 18.31/4.89 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.89 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.89 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.89 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.89 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.89 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.89 2 1 4 2 5 0 1 -> 2 4 0 2 3 5 5 4 5 3 , 18.31/4.89 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.89 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.89 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 8: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 1 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 1 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 1 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 11-rule system 18.31/4.89 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.89 4 2 4 0 -> 1 1 5 0 2 1 3 0 3 4 , 18.31/4.89 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.89 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.89 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.89 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.89 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.89 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.89 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 5: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 1 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 1 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 1 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 10-rule system 18.31/4.89 { 3 0 0 -> 3 3 3 1 3 1 3 2 3 3 , 18.31/4.89 2 4 0 0 1 -> 2 0 2 3 3 3 3 3 4 1 , 18.31/4.89 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.89 1 4 5 0 2 1 -> 1 2 1 1 2 1 3 5 5 1 , 18.31/4.89 4 0 1 0 0 1 -> 4 2 4 1 3 4 1 5 5 1 , 18.31/4.89 3 3 0 5 3 0 4 -> 3 3 4 1 0 5 5 3 1 4 , 18.31/4.89 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 , 18.31/4.89 4 2 5 4 0 2 1 -> 1 1 1 1 5 5 1 4 5 1 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 2: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 2 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 1 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 4-rule system 18.31/4.89 { 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 2 5 2 1 -> 3 2 2 3 1 1 4 3 1 1 , 18.31/4.89 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 6: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 1 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 1 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 1 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 0 0 0 0 | 18.31/4.89 | 0 1 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 1 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 | 0 0 0 0 0 0 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 3-rule system 18.31/4.89 { 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 4 1 4 5 4 2 -> 3 5 3 3 1 1 3 1 1 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 2: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 1 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 3 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 2 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 2-rule system 18.31/4.89 { 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 , 18.31/4.89 3 4 3 2 4 1 2 -> 3 5 1 1 1 5 3 1 3 0 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 2: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 1 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 1 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 1-rule system 18.31/4.89 { 3 0 4 0 5 -> 3 4 1 1 3 4 0 5 2 2 } 18.31/4.89 18.31/4.89 18.31/4.89 The system was filtered by the following matrix interpretation 18.31/4.89 of type E_J with J = {1,...,2} and dimension 2: 18.31/4.89 18.31/4.89 3 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 0 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 1 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 1 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 2 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 4 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 5 is interpreted by 18.31/4.89 / \ 18.31/4.89 | 1 0 | 18.31/4.89 | 0 1 | 18.31/4.89 \ / 18.31/4.89 18.31/4.89 Remains to prove termination of the 0-rule system 18.31/4.89 { } 18.31/4.89 18.31/4.89 18.31/4.89 The system is trivially terminating. 18.31/4.91 EOF