36.79/9.62 YES 37.55/9.79 37.55/9.79 37.55/9.79 The system was filtered by the following matrix interpretation 37.55/9.79 of type E_J with J = {1,...,2} and dimension 5: 37.55/9.79 37.55/9.79 0 is interpreted by 37.55/9.79 / \ 37.55/9.79 | 1 0 1 0 0 | 37.55/9.79 | 0 1 0 0 0 | 37.55/9.79 | 0 0 0 1 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 \ / 37.55/9.79 1 is interpreted by 37.55/9.79 / \ 37.55/9.79 | 1 0 0 0 0 | 37.55/9.79 | 0 1 0 0 0 | 37.55/9.79 | 0 0 0 1 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 \ / 37.55/9.79 2 is interpreted by 37.55/9.79 / \ 37.55/9.79 | 1 0 0 0 0 | 37.55/9.79 | 0 1 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 1 0 1 | 37.55/9.79 | 0 1 0 0 0 | 37.55/9.79 \ / 37.55/9.79 3 is interpreted by 37.55/9.79 / \ 37.55/9.79 | 1 0 0 0 0 | 37.55/9.79 | 0 1 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 \ / 37.55/9.79 4 is interpreted by 37.55/9.79 / \ 37.55/9.79 | 1 0 0 0 0 | 37.55/9.79 | 0 1 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 \ / 37.55/9.79 5 is interpreted by 37.55/9.79 / \ 37.55/9.79 | 1 0 0 0 0 | 37.55/9.79 | 0 1 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 | 0 0 0 0 0 | 37.55/9.79 \ / 37.55/9.79 37.55/9.79 Remains to prove termination of the 76-rule system 37.55/9.79 { 0 0 1 2 -> 0 3 1 0 2 , 37.55/9.79 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.79 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.79 0 5 1 2 -> 1 0 1 5 2 , 37.55/9.79 0 5 1 2 -> 0 1 0 1 5 2 , 37.55/9.79 0 5 1 2 -> 0 3 2 3 1 5 , 37.55/9.79 0 5 4 2 -> 0 4 5 3 2 , 37.55/9.81 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.81 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.81 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.81 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.81 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.81 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.81 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.81 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.81 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.81 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.81 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.81 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.81 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.81 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.81 0 0 0 1 2 -> 0 2 0 1 0 3 3 4 , 37.55/9.81 0 0 2 5 2 -> 0 3 2 0 5 2 , 37.55/9.81 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.81 0 1 2 5 2 -> 0 3 2 1 5 3 2 , 37.55/9.81 0 3 5 2 2 -> 0 4 5 3 2 2 , 37.55/9.81 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.81 0 4 2 5 2 -> 0 5 4 3 3 2 2 , 37.55/9.81 0 5 0 2 2 -> 0 2 5 0 3 2 , 37.55/9.81 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.81 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.81 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.81 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.81 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.81 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.81 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.81 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.81 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.81 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.81 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.81 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.81 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.81 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.81 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.81 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.81 0 0 0 5 1 2 -> 0 0 1 5 0 2 4 , 37.55/9.81 0 0 1 2 4 1 -> 1 3 0 2 3 0 4 1 , 37.55/9.81 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.81 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.81 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.81 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.81 0 1 2 0 1 2 -> 1 0 3 2 2 1 1 0 , 37.55/9.81 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.81 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.81 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.81 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.81 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.81 0 5 1 2 1 4 -> 1 1 5 3 2 2 0 4 , 37.55/9.81 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.81 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.81 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.81 1 0 5 4 2 1 -> 0 1 1 5 3 4 2 , 37.55/9.81 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.81 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.81 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.81 0 0 1 2 3 5 5 -> 5 1 5 0 3 0 2 1 , 37.55/9.81 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.81 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.81 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.81 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.81 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.81 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.81 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.81 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.81 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.81 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.81 37.55/9.81 37.55/9.81 The system was filtered by the following matrix interpretation 37.55/9.81 of type E_J with J = {1,...,2} and dimension 6: 37.55/9.81 37.55/9.81 0 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 1 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 | 37.55/9.81 | 0 0 0 1 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 1 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 | 37.55/9.81 | 0 0 0 1 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 2 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 1 0 1 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 3 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 4 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 5 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 1 | 37.55/9.81 | 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 37.55/9.81 Remains to prove termination of the 74-rule system 37.55/9.81 { 0 0 1 2 -> 0 3 1 0 2 , 37.55/9.81 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.81 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.81 0 5 1 2 -> 1 0 1 5 2 , 37.55/9.81 0 5 1 2 -> 0 1 0 1 5 2 , 37.55/9.81 0 5 1 2 -> 0 3 2 3 1 5 , 37.55/9.81 0 5 4 2 -> 0 4 5 3 2 , 37.55/9.81 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.81 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.81 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.81 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.81 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.81 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.81 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.81 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.81 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.81 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.81 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.81 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.81 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.81 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.81 0 0 0 1 2 -> 0 2 0 1 0 3 3 4 , 37.55/9.81 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.81 0 3 5 2 2 -> 0 4 5 3 2 2 , 37.55/9.81 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.81 0 4 2 5 2 -> 0 5 4 3 3 2 2 , 37.55/9.81 0 5 0 2 2 -> 0 2 5 0 3 2 , 37.55/9.81 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.81 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.81 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.81 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.81 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.81 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.81 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.81 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.81 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.81 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.81 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.81 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.81 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.81 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.81 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.81 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.81 0 0 0 5 1 2 -> 0 0 1 5 0 2 4 , 37.55/9.81 0 0 1 2 4 1 -> 1 3 0 2 3 0 4 1 , 37.55/9.81 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.81 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.81 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.81 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.81 0 1 2 0 1 2 -> 1 0 3 2 2 1 1 0 , 37.55/9.81 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.81 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.81 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.81 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.81 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.81 0 5 1 2 1 4 -> 1 1 5 3 2 2 0 4 , 37.55/9.81 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.81 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.81 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.81 1 0 5 4 2 1 -> 0 1 1 5 3 4 2 , 37.55/9.81 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.81 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.81 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.81 0 0 1 2 3 5 5 -> 5 1 5 0 3 0 2 1 , 37.55/9.81 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.81 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.81 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.81 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.81 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.81 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.81 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.81 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.81 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.81 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.81 37.55/9.81 37.55/9.81 The system was filtered by the following matrix interpretation 37.55/9.81 of type E_J with J = {1,...,2} and dimension 7: 37.55/9.81 37.55/9.81 0 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 1 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 0 | 37.55/9.81 | 0 0 0 1 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 1 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 1 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 0 | 37.55/9.81 | 0 0 0 1 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 1 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 2 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 1 0 1 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 3 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 4 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 5 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 37.55/9.81 Remains to prove termination of the 73-rule system 37.55/9.81 { 0 0 1 2 -> 0 3 1 0 2 , 37.55/9.81 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.81 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.81 0 5 1 2 -> 1 0 1 5 2 , 37.55/9.81 0 5 1 2 -> 0 1 0 1 5 2 , 37.55/9.81 0 5 1 2 -> 0 3 2 3 1 5 , 37.55/9.81 0 5 4 2 -> 0 4 5 3 2 , 37.55/9.81 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.81 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.81 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.81 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.81 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.81 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.81 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.81 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.81 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.81 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.81 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.81 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.81 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.81 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.81 0 0 0 1 2 -> 0 2 0 1 0 3 3 4 , 37.55/9.81 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.81 0 3 5 2 2 -> 0 4 5 3 2 2 , 37.55/9.81 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.81 0 4 2 5 2 -> 0 5 4 3 3 2 2 , 37.55/9.81 0 5 0 2 2 -> 0 2 5 0 3 2 , 37.55/9.81 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.81 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.81 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.81 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.81 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.81 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.81 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.81 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.81 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.81 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.81 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.81 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.81 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.81 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.81 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.81 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.81 0 0 0 5 1 2 -> 0 0 1 5 0 2 4 , 37.55/9.81 0 0 1 2 4 1 -> 1 3 0 2 3 0 4 1 , 37.55/9.81 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.81 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.81 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.81 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.81 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.81 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.81 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.81 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.81 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.81 0 5 1 2 1 4 -> 1 1 5 3 2 2 0 4 , 37.55/9.81 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.81 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.81 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.81 1 0 5 4 2 1 -> 0 1 1 5 3 4 2 , 37.55/9.81 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.81 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.81 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.81 0 0 1 2 3 5 5 -> 5 1 5 0 3 0 2 1 , 37.55/9.81 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.81 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.81 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.81 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.81 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.81 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.81 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.81 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.81 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.81 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.81 37.55/9.81 37.55/9.81 The system was filtered by the following matrix interpretation 37.55/9.81 of type E_J with J = {1,...,2} and dimension 5: 37.55/9.81 37.55/9.81 0 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 1 0 0 | 37.55/9.81 | 0 1 0 0 0 | 37.55/9.81 | 0 0 0 1 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 1 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 1 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 2 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 | 37.55/9.81 \ / 37.55/9.81 3 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 4 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 5 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 0 0 0 | 37.55/9.81 | 0 1 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 37.55/9.81 Remains to prove termination of the 69-rule system 37.55/9.81 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.81 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.81 0 5 1 2 -> 1 0 1 5 2 , 37.55/9.81 0 5 1 2 -> 0 1 0 1 5 2 , 37.55/9.81 0 5 1 2 -> 0 3 2 3 1 5 , 37.55/9.81 0 5 4 2 -> 0 4 5 3 2 , 37.55/9.81 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.81 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.81 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.81 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.81 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.81 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.81 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.81 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.81 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.81 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.81 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.81 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.81 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.81 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.81 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.81 0 3 5 2 2 -> 0 4 5 3 2 2 , 37.55/9.81 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.81 0 4 2 5 2 -> 0 5 4 3 3 2 2 , 37.55/9.81 0 5 0 2 2 -> 0 2 5 0 3 2 , 37.55/9.81 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.81 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.81 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.81 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.81 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.81 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.81 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.81 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.81 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.81 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.81 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.81 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.81 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.81 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.81 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.81 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.81 0 0 0 5 1 2 -> 0 0 1 5 0 2 4 , 37.55/9.81 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.81 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.81 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.81 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.81 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.81 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.81 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.81 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.81 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.81 0 5 1 2 1 4 -> 1 1 5 3 2 2 0 4 , 37.55/9.81 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.81 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.81 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.81 1 0 5 4 2 1 -> 0 1 1 5 3 4 2 , 37.55/9.81 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.81 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.81 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.81 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.81 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.81 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.81 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.81 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.81 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.81 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.81 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.81 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.81 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.81 37.55/9.81 37.55/9.81 The system was filtered by the following matrix interpretation 37.55/9.81 of type E_J with J = {1,...,2} and dimension 5: 37.55/9.81 37.55/9.81 0 is interpreted by 37.55/9.81 / \ 37.55/9.81 | 1 0 1 0 0 | 37.55/9.81 | 0 1 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 | 0 0 0 0 0 | 37.55/9.81 \ / 37.55/9.81 1 is interpreted by 37.55/9.81 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 64-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 0 5 4 2 -> 0 4 5 3 2 , 37.55/9.82 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 3 5 2 2 -> 0 4 5 3 2 2 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 4 2 5 2 -> 0 5 4 3 3 2 2 , 37.55/9.82 0 5 0 2 2 -> 0 2 5 0 3 2 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.82 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.82 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.82 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 0 5 4 2 1 -> 0 1 1 5 3 4 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 5: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 62-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 3 5 2 2 -> 0 4 5 3 2 2 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 4 2 5 2 -> 0 5 4 3 3 2 2 , 37.55/9.82 0 5 0 2 2 -> 0 2 5 0 3 2 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.82 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.82 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.82 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 6: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 61-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 4 2 5 2 -> 0 5 4 3 3 2 2 , 37.55/9.82 0 5 0 2 2 -> 0 2 5 0 3 2 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.82 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.82 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.82 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 6: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 60-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 0 2 2 -> 0 2 5 0 3 2 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.82 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.82 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.82 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 6: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 59-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.82 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.82 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.82 0 5 3 5 2 -> 0 0 3 5 5 2 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 6: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 58-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 0 5 5 2 -> 5 0 1 5 2 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 2 2 4 -> 0 5 3 2 2 4 , 37.55/9.82 0 5 2 3 1 -> 0 1 5 3 2 2 2 , 37.55/9.82 0 5 2 4 1 -> 0 4 3 2 5 1 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 2 3 4 -> 0 4 0 3 1 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 2 5 1 3 4 -> 1 4 5 2 0 3 1 5 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 0 5 5 2 5 3 4 -> 0 3 2 1 4 5 5 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 5: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 1 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 | 37.55/9.82 | 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 51-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 3 1 5 2 -> 1 0 1 5 3 3 2 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 7: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 1 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 50-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 0 2 3 4 2 1 -> 0 0 4 1 3 2 3 2 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 8: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 49-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 , 37.55/9.82 5 0 1 2 -> 5 1 0 3 2 3 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 5 5 0 1 2 -> 5 5 3 0 2 1 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 10: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 1 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 46-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 1 3 5 2 -> 1 1 5 3 3 2 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 12: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 1 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 45-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 0 5 0 5 -> 0 3 0 5 5 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 0 5 1 -> 0 1 0 3 5 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 0 0 5 4 -> 0 1 0 1 0 4 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 11: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 1 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 42-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.55/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.55/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.55/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.55/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.55/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.55/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.55/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.55/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.55/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.55/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.55/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.55/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.55/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.55/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.55/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.55/9.82 0 5 5 1 2 5 -> 0 2 1 5 5 4 5 , 37.55/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.55/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.55/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.55/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.55/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.55/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.55/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.55/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.55/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.55/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.55/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.55/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.55/9.82 37.55/9.82 37.55/9.82 The system was filtered by the following matrix interpretation 37.55/9.82 of type E_J with J = {1,...,2} and dimension 7: 37.55/9.82 37.55/9.82 0 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 1 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 1 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 1 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 2 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 1 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 3 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 4 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 5 is interpreted by 37.55/9.82 / \ 37.55/9.82 | 1 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 | 0 0 0 1 0 0 0 | 37.55/9.82 | 0 0 0 0 1 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 0 0 0 0 0 0 | 37.55/9.82 | 0 1 0 0 0 0 0 | 37.55/9.82 \ / 37.55/9.82 37.55/9.82 Remains to prove termination of the 41-rule system 37.55/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.55/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.55/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.55/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.55/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.55/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.55/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.55/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.55/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.55/9.82 5 0 0 2 -> 5 0 3 0 2 , 37.55/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.55/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.70/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.70/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.70/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.70/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.70/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.70/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.70/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.82 37.70/9.82 37.70/9.82 The system was filtered by the following matrix interpretation 37.70/9.82 of type E_J with J = {1,...,2} and dimension 10: 37.70/9.82 37.70/9.82 0 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 1 0 0 1 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 1 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 1 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 1 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 1 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 1 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 1 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 2 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 3 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 1 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 4 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 1 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 5 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 1 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 1 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 1 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 37.70/9.82 Remains to prove termination of the 40-rule system 37.70/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.70/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.70/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.70/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.70/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.70/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.82 0 5 5 0 2 5 1 -> 5 3 0 0 1 5 2 5 , 37.70/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.70/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.82 37.70/9.82 37.70/9.82 The system was filtered by the following matrix interpretation 37.70/9.82 of type E_J with J = {1,...,2} and dimension 14: 37.70/9.82 37.70/9.82 0 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 1 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.82 | 0 1 0 0 0 0 0 0 1 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 2 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 3 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 4 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 5 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 37.70/9.82 Remains to prove termination of the 39-rule system 37.70/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.70/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.82 0 5 5 3 1 -> 5 0 1 5 3 3 2 , 37.70/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.70/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.70/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.70/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.70/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.82 37.70/9.82 37.70/9.82 The system was filtered by the following matrix interpretation 37.70/9.82 of type E_J with J = {1,...,2} and dimension 6: 37.70/9.82 37.70/9.82 0 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 1 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 1 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 1 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 2 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 3 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 1 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 4 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 5 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 | 0 0 0 1 0 0 | 37.70/9.82 | 0 0 0 0 1 0 | 37.70/9.82 | 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 37.70/9.82 Remains to prove termination of the 38-rule system 37.70/9.82 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.82 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.82 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.82 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.82 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.82 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.82 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.82 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.82 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.82 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.82 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.82 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.82 0 4 2 0 5 -> 0 4 0 3 2 1 5 , 37.70/9.82 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.82 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.82 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.82 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.82 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.82 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.82 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.82 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.82 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.82 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.70/9.82 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.82 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.82 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.70/9.82 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.70/9.82 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.82 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.82 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.82 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.82 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.82 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.82 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.82 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.82 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.70/9.82 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.82 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.82 37.70/9.82 37.70/9.82 The system was filtered by the following matrix interpretation 37.70/9.82 of type E_J with J = {1,...,2} and dimension 12: 37.70/9.82 37.70/9.82 0 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 1 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 1 0 0 0 0 1 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 \ / 37.70/9.82 2 is interpreted by 37.70/9.82 / \ 37.70/9.82 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 1 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 1 0 | 37.70/9.82 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 37-rule system 37.70/9.83 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.83 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.70/9.83 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.70/9.83 0 2 5 3 5 1 -> 0 3 3 2 2 1 5 5 , 37.70/9.83 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.83 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 13: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 0 0 0 0 1 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 36-rule system 37.70/9.83 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.83 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 0 2 3 0 5 -> 0 0 3 0 3 2 5 , 37.70/9.83 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.70/9.83 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.83 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 13: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 35-rule system 37.70/9.83 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.83 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.70/9.83 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.83 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 1 0 2 0 2 2 -> 1 1 0 2 0 3 2 2 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 14: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 1 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 34-rule system 37.70/9.83 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.83 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 0 1 4 4 0 5 -> 4 3 0 0 1 5 4 , 37.70/9.83 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.83 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 13: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 33-rule system 37.70/9.83 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.83 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 0 5 5 3 4 -> 1 4 1 0 0 3 5 5 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.83 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 7: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 32-rule system 37.70/9.83 { 0 1 2 4 -> 0 3 2 3 1 4 , 37.70/9.83 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.83 0 1 2 4 4 0 5 -> 5 4 0 1 0 3 2 4 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 5: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 1 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 30-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 5 0 2 3 4 -> 5 0 3 2 3 4 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 1 0 0 2 3 4 -> 1 4 0 0 3 3 2 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 6: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 28-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 0 1 0 0 5 3 4 -> 0 3 0 5 0 4 3 1 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 8: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 27-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 1 2 3 4 -> 1 1 3 2 2 4 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 1 0 1 2 3 4 5 -> 3 0 2 1 5 1 3 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 6: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 1 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 25-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 0 5 4 -> 0 1 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 5: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 24-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 5 0 2 0 5 -> 5 0 3 3 2 0 5 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 12: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 23-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 0 1 2 5 5 5 -> 0 2 5 1 5 3 5 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 13: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 22-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 0 2 -> 1 1 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 0 0 2 1 2 0 -> 0 1 0 3 2 2 2 0 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 5: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 1 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 20-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 5 5 1 2 -> 1 5 1 1 5 3 2 2 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 6: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 1 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 19-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 0 1 2 -> 1 1 3 0 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 2 , 37.70/9.83 1 0 1 2 -> 1 1 0 3 2 3 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 4 3 5 0 2 -> 0 3 3 2 1 5 4 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 5: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 1 1 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 15-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 , 37.70/9.83 1 4 3 5 2 5 2 -> 5 1 3 2 2 1 5 4 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 8: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 1 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 1 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 14-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 , 37.70/9.83 1 2 4 3 5 3 5 -> 5 1 3 2 2 4 3 5 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 8: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 13-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 0 5 5 1 -> 0 4 5 1 5 1 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 6: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 12-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 2 0 5 -> 0 3 2 3 1 5 , 37.70/9.83 1 2 0 5 -> 5 0 3 3 2 1 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 5: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 1 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 4 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 5 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 | 37.70/9.83 \ / 37.70/9.83 37.70/9.83 Remains to prove termination of the 10-rule system 37.70/9.83 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.83 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.83 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.83 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.83 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.83 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.83 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.83 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.83 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 , 37.70/9.83 1 4 1 0 0 5 -> 0 0 1 5 4 2 1 } 37.70/9.83 37.70/9.83 37.70/9.83 The system was filtered by the following matrix interpretation 37.70/9.83 of type E_J with J = {1,...,2} and dimension 7: 37.70/9.83 37.70/9.83 0 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 1 0 | 37.70/9.83 | 0 0 0 0 0 0 1 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 1 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 1 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 1 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 2 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 \ / 37.70/9.83 3 is interpreted by 37.70/9.83 / \ 37.70/9.83 | 1 0 0 0 0 0 0 | 37.70/9.83 | 0 1 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.83 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 4 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 5 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 1 1 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 37.70/9.84 Remains to prove termination of the 9-rule system 37.70/9.84 { 1 0 0 5 -> 1 1 0 0 1 5 4 , 37.70/9.84 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.84 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.84 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.84 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.84 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.84 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.84 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.84 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 } 37.70/9.84 37.70/9.84 37.70/9.84 The system was filtered by the following matrix interpretation 37.70/9.84 of type E_J with J = {1,...,2} and dimension 5: 37.70/9.84 37.70/9.84 0 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 1 0 | 37.70/9.84 | 0 0 0 0 1 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 1 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 2 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 3 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 4 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 5 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 \ / 37.70/9.84 37.70/9.84 Remains to prove termination of the 8-rule system 37.70/9.84 { 1 5 1 2 -> 0 1 1 5 2 , 37.70/9.84 1 5 1 2 -> 1 0 1 5 3 2 , 37.70/9.84 0 1 2 5 0 -> 3 3 2 2 0 0 1 5 , 37.70/9.84 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.84 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.84 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.84 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.84 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 } 37.70/9.84 37.70/9.84 37.70/9.84 The system was filtered by the following matrix interpretation 37.70/9.84 of type E_J with J = {1,...,2} and dimension 5: 37.70/9.84 37.70/9.84 0 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 1 1 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 1 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 1 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 2 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 \ / 37.70/9.84 3 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 4 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 5 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 | 37.70/9.84 | 0 0 0 1 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 37.70/9.84 Remains to prove termination of the 5-rule system 37.70/9.84 { 0 5 1 3 0 -> 0 0 1 1 5 3 , 37.70/9.84 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.84 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.84 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.84 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 } 37.70/9.84 37.70/9.84 37.70/9.84 The system was filtered by the following matrix interpretation 37.70/9.84 of type E_J with J = {1,...,2} and dimension 6: 37.70/9.84 37.70/9.84 0 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 1 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 1 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 2 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 3 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 1 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 4 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 5 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 1 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 37.70/9.84 Remains to prove termination of the 4-rule system 37.70/9.84 { 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.84 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.84 1 0 1 3 5 1 -> 0 1 1 1 5 3 2 2 , 37.70/9.84 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 } 37.70/9.84 37.70/9.84 37.70/9.84 The system was filtered by the following matrix interpretation 37.70/9.84 of type E_J with J = {1,...,2} and dimension 7: 37.70/9.84 37.70/9.84 0 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 1 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 1 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 1 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 2 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 3 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 1 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 4 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 5 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 1 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 37.70/9.84 Remains to prove termination of the 3-rule system 37.70/9.84 { 1 1 2 2 0 -> 1 1 3 2 2 0 , 37.70/9.84 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.84 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 } 37.70/9.84 37.70/9.84 37.70/9.84 The system was filtered by the following matrix interpretation 37.70/9.84 of type E_J with J = {1,...,2} and dimension 6: 37.70/9.84 37.70/9.84 0 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 1 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 1 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 1 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 2 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 1 0 | 37.70/9.84 | 0 0 0 0 0 1 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 3 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 4 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 5 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 37.70/9.84 Remains to prove termination of the 2-rule system 37.70/9.84 { 1 5 0 5 0 -> 0 1 5 3 5 1 0 , 37.70/9.84 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 } 37.70/9.84 37.70/9.84 37.70/9.84 The system was filtered by the following matrix interpretation 37.70/9.84 of type E_J with J = {1,...,2} and dimension 6: 37.70/9.84 37.70/9.84 0 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 1 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 1 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 2 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 3 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 4 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 5 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 | 37.70/9.84 | 0 0 0 1 0 0 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 1 | 37.70/9.84 | 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 37.70/9.84 Remains to prove termination of the 1-rule system 37.70/9.84 { 1 2 1 2 0 0 -> 0 3 2 2 1 0 1 } 37.70/9.84 37.70/9.84 37.70/9.84 The system was filtered by the following matrix interpretation 37.70/9.84 of type E_J with J = {1,...,2} and dimension 7: 37.70/9.84 37.70/9.84 0 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 1 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 1 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 1 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 1 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 2 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 1 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 1 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 3 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 4 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 5 is interpreted by 37.70/9.84 / \ 37.70/9.84 | 1 0 0 0 0 0 0 | 37.70/9.84 | 0 1 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 | 0 0 0 0 0 0 0 | 37.70/9.84 \ / 37.70/9.84 37.70/9.84 Remains to prove termination of the 0-rule system 37.70/9.84 { } 37.70/9.84 37.70/9.84 37.70/9.84 The system is trivially terminating. 37.74/9.87 EOF