69.78/18.14 YES 70.51/18.26 70.51/18.26 70.51/18.26 The system was filtered by the following matrix interpretation 70.51/18.26 of type E_J with J = {1,...,2} and dimension 6: 70.51/18.26 70.51/18.26 0 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 0 | 70.51/18.26 | 0 0 0 1 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 1 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 1 0 0 | 70.51/18.26 | 0 1 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 2 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 3 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 0 0 0 | 70.51/18.26 | 0 1 0 0 0 0 | 70.51/18.26 | 0 0 0 1 0 0 | 70.51/18.26 | 0 0 0 0 1 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 4 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 5 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 0 | 70.51/18.26 | 0 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 1 | 70.51/18.26 | 0 1 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 70.51/18.26 Remains to prove termination of the 49-rule system 70.51/18.26 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.26 0 3 1 -> 1 3 2 2 0 , 70.51/18.26 0 3 1 -> 3 2 1 2 0 , 70.51/18.26 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.26 0 4 1 -> 2 1 2 0 4 , 70.51/18.26 0 0 4 5 -> 0 0 2 5 4 , 70.51/18.26 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.26 0 1 4 5 -> 4 0 1 2 5 4 , 70.51/18.26 0 1 5 1 -> 1 2 2 5 0 1 , 70.51/18.26 0 1 5 3 -> 0 5 3 2 1 , 70.51/18.26 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.26 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.26 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.26 0 3 1 5 -> 0 1 2 5 3 , 70.51/18.26 0 3 1 5 -> 1 2 5 3 0 4 , 70.51/18.26 0 3 5 1 -> 1 2 5 3 0 , 70.51/18.26 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.26 0 3 5 5 -> 0 3 2 5 5 , 70.51/18.26 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.26 0 4 1 5 -> 1 2 5 0 4 , 70.51/18.26 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.26 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.26 3 0 1 5 -> 3 1 4 0 5 4 , 70.51/18.26 3 0 3 1 -> 1 3 3 2 0 , 70.51/18.26 3 0 3 5 -> 3 2 5 0 2 3 , 70.51/18.26 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.26 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.26 4 1 3 5 -> 1 2 5 3 4 4 , 70.51/18.26 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.26 4 4 1 5 -> 4 1 2 5 4 , 70.51/18.26 0 1 4 5 5 -> 0 5 1 4 2 5 , 70.51/18.26 0 2 1 4 5 -> 0 0 1 2 5 4 , 70.51/18.26 0 2 1 5 5 -> 0 1 2 2 5 5 , 70.51/18.26 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.26 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.26 0 5 1 5 1 -> 0 5 1 1 2 5 , 70.51/18.26 0 5 2 1 5 -> 1 2 5 5 0 4 , 70.51/18.26 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.26 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.26 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.26 3 0 5 3 1 -> 1 0 3 3 2 5 , 70.51/18.26 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.26 4 0 1 5 1 -> 0 1 2 5 4 1 , 70.51/18.26 4 0 2 4 5 -> 4 0 2 5 0 4 , 70.51/18.26 4 1 1 5 1 -> 1 1 2 5 4 1 , 70.51/18.26 4 5 1 4 1 -> 4 4 1 2 1 5 , 70.51/18.26 4 5 2 3 1 -> 4 3 1 2 2 5 , 70.51/18.26 4 5 4 3 1 -> 4 1 2 5 3 4 , 70.51/18.26 4 5 5 3 1 -> 1 3 2 5 5 4 } 70.51/18.26 70.51/18.26 70.51/18.26 The system was filtered by the following matrix interpretation 70.51/18.26 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.26 70.51/18.26 0 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 1 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 1 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 1 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 2 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 3 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 1 0 | 70.51/18.26 | 0 0 0 0 1 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 4 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 5 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 1 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 \ / 70.51/18.26 70.51/18.26 Remains to prove termination of the 47-rule system 70.51/18.26 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.26 0 3 1 -> 1 3 2 2 0 , 70.51/18.26 0 3 1 -> 3 2 1 2 0 , 70.51/18.26 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.26 0 4 1 -> 2 1 2 0 4 , 70.51/18.26 0 0 4 5 -> 0 0 2 5 4 , 70.51/18.26 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.26 0 1 4 5 -> 4 0 1 2 5 4 , 70.51/18.26 0 1 5 1 -> 1 2 2 5 0 1 , 70.51/18.26 0 1 5 3 -> 0 5 3 2 1 , 70.51/18.26 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.26 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.26 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.26 0 3 1 5 -> 0 1 2 5 3 , 70.51/18.26 0 3 1 5 -> 1 2 5 3 0 4 , 70.51/18.26 0 3 5 1 -> 1 2 5 3 0 , 70.51/18.26 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.26 0 3 5 5 -> 0 3 2 5 5 , 70.51/18.26 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.26 0 4 1 5 -> 1 2 5 0 4 , 70.51/18.26 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.26 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.26 3 0 1 5 -> 3 1 4 0 5 4 , 70.51/18.26 3 0 3 1 -> 1 3 3 2 0 , 70.51/18.26 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.26 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.26 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.26 4 4 1 5 -> 4 1 2 5 4 , 70.51/18.26 0 1 4 5 5 -> 0 5 1 4 2 5 , 70.51/18.26 0 2 1 4 5 -> 0 0 1 2 5 4 , 70.51/18.26 0 2 1 5 5 -> 0 1 2 2 5 5 , 70.51/18.26 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.26 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.26 0 5 1 5 1 -> 0 5 1 1 2 5 , 70.51/18.26 0 5 2 1 5 -> 1 2 5 5 0 4 , 70.51/18.26 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.26 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.26 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.26 3 0 5 3 1 -> 1 0 3 3 2 5 , 70.51/18.26 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.26 4 0 1 5 1 -> 0 1 2 5 4 1 , 70.51/18.26 4 0 2 4 5 -> 4 0 2 5 0 4 , 70.51/18.26 4 1 1 5 1 -> 1 1 2 5 4 1 , 70.51/18.26 4 5 1 4 1 -> 4 4 1 2 1 5 , 70.51/18.26 4 5 2 3 1 -> 4 3 1 2 2 5 , 70.51/18.26 4 5 4 3 1 -> 4 1 2 5 3 4 , 70.51/18.26 4 5 5 3 1 -> 1 3 2 5 5 4 } 70.51/18.26 70.51/18.26 70.51/18.26 The system was filtered by the following matrix interpretation 70.51/18.26 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.26 70.51/18.26 0 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 1 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 1 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 1 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 1 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 2 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 3 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 1 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 4 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 1 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 5 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 1 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 \ / 70.51/18.26 70.51/18.26 Remains to prove termination of the 45-rule system 70.51/18.26 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.26 0 3 1 -> 1 3 2 2 0 , 70.51/18.26 0 3 1 -> 3 2 1 2 0 , 70.51/18.26 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.26 0 4 1 -> 2 1 2 0 4 , 70.51/18.26 0 0 4 5 -> 0 0 2 5 4 , 70.51/18.26 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.26 0 1 4 5 -> 4 0 1 2 5 4 , 70.51/18.26 0 1 5 1 -> 1 2 2 5 0 1 , 70.51/18.26 0 1 5 3 -> 0 5 3 2 1 , 70.51/18.26 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.26 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.26 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.26 0 3 1 5 -> 0 1 2 5 3 , 70.51/18.26 0 3 1 5 -> 1 2 5 3 0 4 , 70.51/18.26 0 3 5 1 -> 1 2 5 3 0 , 70.51/18.26 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.26 0 3 5 5 -> 0 3 2 5 5 , 70.51/18.26 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.26 0 4 1 5 -> 1 2 5 0 4 , 70.51/18.26 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.26 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.26 3 0 3 1 -> 1 3 3 2 0 , 70.51/18.26 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.26 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.26 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.26 4 4 1 5 -> 4 1 2 5 4 , 70.51/18.26 0 1 4 5 5 -> 0 5 1 4 2 5 , 70.51/18.26 0 2 1 4 5 -> 0 0 1 2 5 4 , 70.51/18.26 0 2 1 5 5 -> 0 1 2 2 5 5 , 70.51/18.26 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.26 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.26 0 5 1 5 1 -> 0 5 1 1 2 5 , 70.51/18.26 0 5 2 1 5 -> 1 2 5 5 0 4 , 70.51/18.26 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.26 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.26 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.26 3 0 5 3 1 -> 1 0 3 3 2 5 , 70.51/18.26 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.26 4 0 1 5 1 -> 0 1 2 5 4 1 , 70.51/18.26 4 0 2 4 5 -> 4 0 2 5 0 4 , 70.51/18.26 4 5 1 4 1 -> 4 4 1 2 1 5 , 70.51/18.26 4 5 2 3 1 -> 4 3 1 2 2 5 , 70.51/18.26 4 5 4 3 1 -> 4 1 2 5 3 4 , 70.51/18.26 4 5 5 3 1 -> 1 3 2 5 5 4 } 70.51/18.26 70.51/18.26 70.51/18.26 The system was filtered by the following matrix interpretation 70.51/18.26 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.26 70.51/18.26 0 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 1 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 2 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 3 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 1 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 1 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 4 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 | 0 0 0 0 0 | 70.51/18.26 \ / 70.51/18.26 5 is interpreted by 70.51/18.26 / \ 70.51/18.26 | 1 0 0 0 0 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 | 0 0 1 0 0 | 70.51/18.26 | 0 0 0 0 1 | 70.51/18.26 | 0 1 0 0 0 | 70.51/18.26 \ / 70.51/18.26 70.51/18.26 Remains to prove termination of the 44-rule system 70.51/18.26 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.26 0 3 1 -> 1 3 2 2 0 , 70.51/18.26 0 3 1 -> 3 2 1 2 0 , 70.51/18.26 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.26 0 4 1 -> 2 1 2 0 4 , 70.51/18.26 0 0 4 5 -> 0 0 2 5 4 , 70.51/18.26 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.26 0 1 4 5 -> 4 0 1 2 5 4 , 70.51/18.26 0 1 5 1 -> 1 2 2 5 0 1 , 70.51/18.26 0 1 5 3 -> 0 5 3 2 1 , 70.51/18.26 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.26 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.26 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.26 0 3 1 5 -> 0 1 2 5 3 , 70.51/18.26 0 3 1 5 -> 1 2 5 3 0 4 , 70.51/18.26 0 3 5 1 -> 1 2 5 3 0 , 70.51/18.26 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.26 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.26 0 4 1 5 -> 1 2 5 0 4 , 70.51/18.26 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.26 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.26 3 0 3 1 -> 1 3 3 2 0 , 70.51/18.26 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.26 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.26 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.26 4 4 1 5 -> 4 1 2 5 4 , 70.51/18.26 0 1 4 5 5 -> 0 5 1 4 2 5 , 70.51/18.26 0 2 1 4 5 -> 0 0 1 2 5 4 , 70.51/18.26 0 2 1 5 5 -> 0 1 2 2 5 5 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 1 5 1 -> 0 5 1 1 2 5 , 70.51/18.27 0 5 2 1 5 -> 1 2 5 5 0 4 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.27 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.27 3 0 5 3 1 -> 1 0 3 3 2 5 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 1 5 1 -> 0 1 2 5 4 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 , 70.51/18.27 4 5 1 4 1 -> 4 4 1 2 1 5 , 70.51/18.27 4 5 2 3 1 -> 4 3 1 2 2 5 , 70.51/18.27 4 5 4 3 1 -> 4 1 2 5 3 4 , 70.51/18.27 4 5 5 3 1 -> 1 3 2 5 5 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 6: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 1 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 1 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 43-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 0 4 5 -> 0 0 2 5 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 1 4 5 -> 4 0 1 2 5 4 , 70.51/18.27 0 1 5 1 -> 1 2 2 5 0 1 , 70.51/18.27 0 1 5 3 -> 0 5 3 2 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 1 5 -> 0 1 2 5 3 , 70.51/18.27 0 3 1 5 -> 1 2 5 3 0 4 , 70.51/18.27 0 3 5 1 -> 1 2 5 3 0 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 1 5 -> 1 2 5 0 4 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 3 0 3 1 -> 1 3 3 2 0 , 70.51/18.27 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.27 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 4 4 1 5 -> 4 1 2 5 4 , 70.51/18.27 0 2 1 4 5 -> 0 0 1 2 5 4 , 70.51/18.27 0 2 1 5 5 -> 0 1 2 2 5 5 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 1 5 1 -> 0 5 1 1 2 5 , 70.51/18.27 0 5 2 1 5 -> 1 2 5 5 0 4 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.27 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.27 3 0 5 3 1 -> 1 0 3 3 2 5 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 1 5 1 -> 0 1 2 5 4 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 , 70.51/18.27 4 5 1 4 1 -> 4 4 1 2 1 5 , 70.51/18.27 4 5 2 3 1 -> 4 3 1 2 2 5 , 70.51/18.27 4 5 4 3 1 -> 4 1 2 5 3 4 , 70.51/18.27 4 5 5 3 1 -> 1 3 2 5 5 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 1 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 1 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 38-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 1 5 1 -> 1 2 2 5 0 1 , 70.51/18.27 0 1 5 3 -> 0 5 3 2 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 1 5 -> 0 1 2 5 3 , 70.51/18.27 0 3 1 5 -> 1 2 5 3 0 4 , 70.51/18.27 0 3 5 1 -> 1 2 5 3 0 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 1 5 -> 1 2 5 0 4 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 3 0 3 1 -> 1 3 3 2 0 , 70.51/18.27 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.27 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 4 4 1 5 -> 4 1 2 5 4 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 1 5 -> 1 2 5 5 0 4 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.27 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.27 3 0 5 3 1 -> 1 0 3 3 2 5 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 1 5 1 -> 0 1 2 5 4 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 , 70.51/18.27 4 5 1 4 1 -> 4 4 1 2 1 5 , 70.51/18.27 4 5 2 3 1 -> 4 3 1 2 2 5 , 70.51/18.27 4 5 4 3 1 -> 4 1 2 5 3 4 , 70.51/18.27 4 5 5 3 1 -> 1 3 2 5 5 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 1 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 37-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 1 5 1 -> 1 2 2 5 0 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 1 5 -> 0 1 2 5 3 , 70.51/18.27 0 3 1 5 -> 1 2 5 3 0 4 , 70.51/18.27 0 3 5 1 -> 1 2 5 3 0 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 1 5 -> 1 2 5 0 4 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 3 0 3 1 -> 1 3 3 2 0 , 70.51/18.27 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.27 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 4 4 1 5 -> 4 1 2 5 4 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 1 5 -> 1 2 5 5 0 4 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.27 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.27 3 0 5 3 1 -> 1 0 3 3 2 5 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 1 5 1 -> 0 1 2 5 4 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 , 70.51/18.27 4 5 1 4 1 -> 4 4 1 2 1 5 , 70.51/18.27 4 5 2 3 1 -> 4 3 1 2 2 5 , 70.51/18.27 4 5 4 3 1 -> 4 1 2 5 3 4 , 70.51/18.27 4 5 5 3 1 -> 1 3 2 5 5 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 1 | 70.51/18.27 | 0 2 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 24-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 3 0 3 1 -> 1 3 3 2 0 , 70.51/18.27 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.27 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.27 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 23-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.27 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 3 0 1 4 1 -> 0 4 4 1 3 1 , 70.51/18.27 3 0 1 4 1 -> 4 3 2 0 1 1 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 6: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 1 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 1 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 21-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.27 3 4 5 1 -> 3 2 5 4 2 1 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 20-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 3 3 0 1 -> 0 1 3 2 2 3 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 19-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 , 70.51/18.27 4 0 2 4 5 -> 4 0 2 5 0 4 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 6: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 18-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 2 4 5 -> 0 2 2 5 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 4 1 5 1 -> 4 4 5 1 2 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 1 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 16-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 3 5 -> 0 4 3 2 5 4 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 1 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 15-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 4 5 4 3 -> 2 5 0 4 4 3 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 6: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 1 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 1 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 14-rule system 70.51/18.27 { 0 1 1 -> 1 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 2 2 0 , 70.51/18.27 0 3 1 -> 3 2 1 2 0 , 70.51/18.27 0 3 1 -> 1 3 3 3 2 0 , 70.51/18.27 0 4 1 -> 2 1 2 0 4 , 70.51/18.27 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 2 4 1 -> 1 3 3 2 0 4 , 70.51/18.27 0 2 4 1 -> 4 2 1 2 0 4 , 70.51/18.27 0 3 5 1 -> 0 5 2 1 2 3 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 , 70.51/18.27 0 4 2 4 1 -> 1 3 2 0 4 4 , 70.51/18.27 0 5 2 4 1 -> 4 5 2 1 2 0 , 70.51/18.27 4 0 1 4 1 -> 4 4 0 1 3 1 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 4: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 | 70.51/18.27 | 0 1 0 0 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 | 0 1 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 1 | 70.51/18.27 | 0 1 0 0 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 | 0 1 1 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 | 70.51/18.27 | 0 1 0 0 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 | 70.51/18.27 | 0 1 0 0 | 70.51/18.27 | 0 0 0 1 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 1 | 70.51/18.27 | 0 1 0 0 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 1 | 70.51/18.27 | 0 1 0 0 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 | 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 3-rule system 70.51/18.27 { 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 4 0 1 -> 2 0 4 4 0 1 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 2-rule system 70.51/18.27 { 0 1 4 1 -> 0 1 2 2 4 1 , 70.51/18.27 0 4 5 1 -> 2 5 4 4 0 1 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 1-rule system 70.51/18.27 { 0 1 4 1 -> 0 1 2 2 4 1 } 70.51/18.27 70.51/18.27 70.51/18.27 The system was filtered by the following matrix interpretation 70.51/18.27 of type E_J with J = {1,...,2} and dimension 5: 70.51/18.27 70.51/18.27 0 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 1 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 1 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 1 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 \ / 70.51/18.27 2 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 3 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 4 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 1 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 5 is interpreted by 70.51/18.27 / \ 70.51/18.27 | 1 0 0 0 0 | 70.51/18.27 | 0 1 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 | 0 0 0 0 0 | 70.51/18.27 \ / 70.51/18.27 70.51/18.27 Remains to prove termination of the 0-rule system 70.51/18.27 { } 70.51/18.27 70.51/18.27 70.51/18.27 The system is trivially terminating. 72.77/19.08 EOF