43.50/11.42 YES 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 6: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 1 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 1 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 1 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 3 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 4 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 5 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 44.15/11.58 Remains to prove termination of the 49-rule system 44.15/11.58 { 0 1 2 -> 0 2 1 0 , 44.15/11.58 0 1 2 -> 1 0 2 3 , 44.15/11.58 0 1 2 -> 0 2 4 1 5 , 44.15/11.58 0 1 2 -> 0 3 2 1 0 , 44.15/11.58 0 1 2 -> 1 0 3 2 3 , 44.15/11.58 0 1 2 -> 0 1 3 4 2 3 , 44.15/11.58 0 5 2 -> 0 2 4 5 3 , 44.15/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.15/11.58 2 0 1 -> 3 0 2 1 , 44.15/11.58 2 0 1 -> 0 2 1 1 4 , 44.15/11.58 2 0 1 -> 0 3 2 4 1 , 44.15/11.58 2 0 1 -> 3 0 2 1 4 , 44.15/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.15/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.15/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.15/11.58 2 5 1 -> 0 2 1 5 1 , 44.15/11.58 2 5 1 -> 1 4 5 4 2 , 44.15/11.58 2 5 1 -> 5 0 2 1 4 , 44.15/11.58 2 5 1 -> 5 2 1 4 1 , 44.15/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.15/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.15/11.58 0 1 2 1 -> 3 1 4 0 2 1 , 44.15/11.58 0 1 3 1 -> 5 0 3 1 1 , 44.15/11.58 0 1 3 1 -> 1 0 3 4 2 1 , 44.15/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.15/11.58 0 2 1 2 -> 0 2 2 1 5 , 44.15/11.58 0 2 5 1 -> 1 1 5 0 2 1 , 44.15/11.58 0 5 3 1 -> 0 1 4 4 3 5 , 44.15/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.15/11.58 2 0 1 2 -> 0 2 3 2 1 1 , 44.15/11.58 2 0 1 2 -> 4 0 2 1 1 2 , 44.15/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.15/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.15/11.58 2 2 5 1 -> 3 2 2 4 5 1 , 44.15/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.15/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.15/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.15/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.15/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.15/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.15/11.58 2 5 5 2 -> 5 5 2 3 2 , 44.15/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.15/11.58 0 2 4 3 1 -> 1 3 4 2 3 0 , 44.15/11.58 0 2 4 3 1 -> 4 0 3 2 1 0 , 44.15/11.58 0 2 5 3 1 -> 5 0 2 3 5 1 , 44.15/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.15/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.15/11.58 2 4 2 3 1 -> 4 2 2 3 3 1 , 44.15/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 9: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 1 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 1 0 0 0 0 1 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 1 0 1 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 1 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 1 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 3 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 4 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 1 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 5 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 1 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 1 | 44.15/11.58 | 0 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 44.15/11.58 Remains to prove termination of the 47-rule system 44.15/11.58 { 0 1 2 -> 0 2 1 0 , 44.15/11.58 0 1 2 -> 1 0 2 3 , 44.15/11.58 0 1 2 -> 0 2 4 1 5 , 44.15/11.58 0 1 2 -> 0 3 2 1 0 , 44.15/11.58 0 1 2 -> 1 0 3 2 3 , 44.15/11.58 0 1 2 -> 0 1 3 4 2 3 , 44.15/11.58 0 5 2 -> 0 2 4 5 3 , 44.15/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.15/11.58 2 0 1 -> 3 0 2 1 , 44.15/11.58 2 0 1 -> 0 2 1 1 4 , 44.15/11.58 2 0 1 -> 0 3 2 4 1 , 44.15/11.58 2 0 1 -> 3 0 2 1 4 , 44.15/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.15/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.15/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.15/11.58 2 5 1 -> 0 2 1 5 1 , 44.15/11.58 2 5 1 -> 1 4 5 4 2 , 44.15/11.58 2 5 1 -> 5 0 2 1 4 , 44.15/11.58 2 5 1 -> 5 2 1 4 1 , 44.15/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.15/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.15/11.58 0 1 2 1 -> 3 1 4 0 2 1 , 44.15/11.58 0 1 3 1 -> 5 0 3 1 1 , 44.15/11.58 0 1 3 1 -> 1 0 3 4 2 1 , 44.15/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.15/11.58 0 2 1 2 -> 0 2 2 1 5 , 44.15/11.58 0 2 5 1 -> 1 1 5 0 2 1 , 44.15/11.58 0 5 3 1 -> 0 1 4 4 3 5 , 44.15/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.15/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.15/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.15/11.58 2 2 5 1 -> 3 2 2 4 5 1 , 44.15/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.15/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.15/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.15/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.15/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.15/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.15/11.58 2 5 5 2 -> 5 5 2 3 2 , 44.15/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.15/11.58 0 2 4 3 1 -> 1 3 4 2 3 0 , 44.15/11.58 0 2 4 3 1 -> 4 0 3 2 1 0 , 44.15/11.58 0 2 5 3 1 -> 5 0 2 3 5 1 , 44.15/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.15/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.15/11.58 2 4 2 3 1 -> 4 2 2 3 3 1 , 44.15/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 4: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 | 44.15/11.58 | 0 1 0 0 | 44.15/11.58 | 0 0 0 0 | 44.15/11.58 | 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 1 | 44.15/11.58 | 0 1 0 0 | 44.15/11.58 | 0 0 0 1 | 44.15/11.58 | 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 | 44.15/11.58 | 0 1 0 0 | 44.15/11.58 | 0 0 1 0 | 44.15/11.58 | 0 1 1 0 | 44.15/11.58 \ / 44.15/11.58 3 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 | 44.15/11.58 | 0 1 0 0 | 44.15/11.58 | 0 0 0 0 | 44.15/11.58 | 0 0 1 0 | 44.15/11.58 \ / 44.15/11.58 4 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 | 44.15/11.58 | 0 1 0 0 | 44.15/11.58 | 0 0 0 0 | 44.15/11.58 | 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 5 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 | 44.15/11.58 | 0 1 0 0 | 44.15/11.58 | 0 0 0 0 | 44.15/11.58 | 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 44.15/11.58 Remains to prove termination of the 39-rule system 44.15/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.15/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.15/11.58 2 0 1 -> 3 0 2 1 , 44.15/11.58 2 0 1 -> 0 2 1 1 4 , 44.15/11.58 2 0 1 -> 0 3 2 4 1 , 44.15/11.58 2 0 1 -> 3 0 2 1 4 , 44.15/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.15/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.15/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.15/11.58 2 5 1 -> 0 2 1 5 1 , 44.15/11.58 2 5 1 -> 1 4 5 4 2 , 44.15/11.58 2 5 1 -> 5 0 2 1 4 , 44.15/11.58 2 5 1 -> 5 2 1 4 1 , 44.15/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.15/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.15/11.58 0 1 3 1 -> 5 0 3 1 1 , 44.15/11.58 0 1 3 1 -> 1 0 3 4 2 1 , 44.15/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.15/11.58 0 2 5 1 -> 1 1 5 0 2 1 , 44.15/11.58 0 5 3 1 -> 0 1 4 4 3 5 , 44.15/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.15/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.15/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.15/11.58 2 2 5 1 -> 3 2 2 4 5 1 , 44.15/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.15/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.15/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.15/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.15/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.15/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.15/11.58 2 5 5 2 -> 5 5 2 3 2 , 44.15/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.15/11.58 0 2 4 3 1 -> 1 3 4 2 3 0 , 44.15/11.58 0 2 4 3 1 -> 4 0 3 2 1 0 , 44.15/11.58 0 2 5 3 1 -> 5 0 2 3 5 1 , 44.15/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.15/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.15/11.58 2 4 2 3 1 -> 4 2 2 3 3 1 , 44.15/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 8: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 1 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 3 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 4 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 5 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 1 0 | 44.15/11.58 | 0 0 0 0 0 0 0 1 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 44.15/11.58 Remains to prove termination of the 37-rule system 44.15/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.15/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.15/11.58 2 0 1 -> 3 0 2 1 , 44.15/11.58 2 0 1 -> 0 2 1 1 4 , 44.15/11.58 2 0 1 -> 0 3 2 4 1 , 44.15/11.58 2 0 1 -> 3 0 2 1 4 , 44.15/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.15/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.15/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.15/11.58 2 5 1 -> 0 2 1 5 1 , 44.15/11.58 2 5 1 -> 1 4 5 4 2 , 44.15/11.58 2 5 1 -> 5 0 2 1 4 , 44.15/11.58 2 5 1 -> 5 2 1 4 1 , 44.15/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.15/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.15/11.58 0 1 3 1 -> 5 0 3 1 1 , 44.15/11.58 0 1 3 1 -> 1 0 3 4 2 1 , 44.15/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.15/11.58 0 2 5 1 -> 1 1 5 0 2 1 , 44.15/11.58 0 5 3 1 -> 0 1 4 4 3 5 , 44.15/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.15/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.15/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.15/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.15/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.15/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.15/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.15/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.15/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.15/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.15/11.58 0 2 4 3 1 -> 1 3 4 2 3 0 , 44.15/11.58 0 2 4 3 1 -> 4 0 3 2 1 0 , 44.15/11.58 0 2 5 3 1 -> 5 0 2 3 5 1 , 44.15/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.15/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.15/11.58 2 4 2 3 1 -> 4 2 2 3 3 1 , 44.15/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 6: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 1 0 0 | 44.15/11.58 | 0 0 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 3 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 1 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 4 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 1 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 5 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 44.15/11.58 Remains to prove termination of the 35-rule system 44.15/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.15/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.15/11.58 2 0 1 -> 3 0 2 1 , 44.15/11.58 2 0 1 -> 0 2 1 1 4 , 44.15/11.58 2 0 1 -> 0 3 2 4 1 , 44.15/11.58 2 0 1 -> 3 0 2 1 4 , 44.15/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.15/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.15/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.15/11.58 2 5 1 -> 0 2 1 5 1 , 44.15/11.58 2 5 1 -> 1 4 5 4 2 , 44.15/11.58 2 5 1 -> 5 0 2 1 4 , 44.15/11.58 2 5 1 -> 5 2 1 4 1 , 44.15/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.15/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.15/11.58 0 1 3 1 -> 5 0 3 1 1 , 44.15/11.58 0 1 3 1 -> 1 0 3 4 2 1 , 44.15/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.15/11.58 0 2 5 1 -> 1 1 5 0 2 1 , 44.15/11.58 0 5 3 1 -> 0 1 4 4 3 5 , 44.15/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.15/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.15/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.15/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.15/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.15/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.15/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.15/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.15/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.15/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.15/11.58 0 2 5 3 1 -> 5 0 2 3 5 1 , 44.15/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.15/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.15/11.58 2 4 2 3 1 -> 4 2 2 3 3 1 , 44.15/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 5: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 1 1 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 1 0 | 44.15/11.58 | 0 0 0 1 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 \ / 44.15/11.58 3 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 4 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 5 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 1 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 \ / 44.15/11.58 44.15/11.58 Remains to prove termination of the 34-rule system 44.15/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.15/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.15/11.58 2 0 1 -> 3 0 2 1 , 44.15/11.58 2 0 1 -> 0 2 1 1 4 , 44.15/11.58 2 0 1 -> 0 3 2 4 1 , 44.15/11.58 2 0 1 -> 3 0 2 1 4 , 44.15/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.15/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.15/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.15/11.58 2 5 1 -> 0 2 1 5 1 , 44.15/11.58 2 5 1 -> 1 4 5 4 2 , 44.15/11.58 2 5 1 -> 5 0 2 1 4 , 44.15/11.58 2 5 1 -> 5 2 1 4 1 , 44.15/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.15/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.15/11.58 0 1 3 1 -> 5 0 3 1 1 , 44.15/11.58 0 1 3 1 -> 1 0 3 4 2 1 , 44.15/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.15/11.58 0 5 3 1 -> 0 1 4 4 3 5 , 44.15/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.15/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.15/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.15/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.15/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.15/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.15/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.15/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.15/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.15/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.15/11.58 0 2 5 3 1 -> 5 0 2 3 5 1 , 44.15/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.15/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.15/11.58 2 4 2 3 1 -> 4 2 2 3 3 1 , 44.15/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 8: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 1 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 1 0 0 1 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 1 0 0 1 0 0 | 44.15/11.58 \ / 44.15/11.58 3 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 4 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 5 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 1 0 | 44.15/11.58 | 0 0 0 0 0 0 0 1 | 44.15/11.58 | 0 0 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 44.15/11.58 Remains to prove termination of the 32-rule system 44.15/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.15/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.15/11.58 2 0 1 -> 3 0 2 1 , 44.15/11.58 2 0 1 -> 0 2 1 1 4 , 44.15/11.58 2 0 1 -> 0 3 2 4 1 , 44.15/11.58 2 0 1 -> 3 0 2 1 4 , 44.15/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.15/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.15/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.15/11.58 2 5 1 -> 0 2 1 5 1 , 44.15/11.58 2 5 1 -> 1 4 5 4 2 , 44.15/11.58 2 5 1 -> 5 0 2 1 4 , 44.15/11.58 2 5 1 -> 5 2 1 4 1 , 44.15/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.15/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.15/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.15/11.58 0 5 3 1 -> 0 1 4 4 3 5 , 44.15/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.15/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.15/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.15/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.15/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.15/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.15/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.15/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.15/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.15/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.15/11.58 0 2 5 3 1 -> 5 0 2 3 5 1 , 44.15/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.15/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.15/11.58 2 4 2 3 1 -> 4 2 2 3 3 1 , 44.15/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 5: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 \ / 44.15/11.58 3 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 1 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 4 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 5 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 | 44.15/11.58 | 0 0 0 1 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 44.15/11.58 Remains to prove termination of the 30-rule system 44.15/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.15/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.15/11.58 2 0 1 -> 3 0 2 1 , 44.15/11.58 2 0 1 -> 0 2 1 1 4 , 44.15/11.58 2 0 1 -> 0 3 2 4 1 , 44.15/11.58 2 0 1 -> 3 0 2 1 4 , 44.15/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.15/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.15/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.15/11.58 2 5 1 -> 0 2 1 5 1 , 44.15/11.58 2 5 1 -> 1 4 5 4 2 , 44.15/11.58 2 5 1 -> 5 0 2 1 4 , 44.15/11.58 2 5 1 -> 5 2 1 4 1 , 44.15/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.15/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.15/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.15/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.15/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.15/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.15/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.15/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.15/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.15/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.15/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.15/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.15/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.15/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.15/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.15/11.58 2 4 2 3 1 -> 4 2 2 3 3 1 , 44.15/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.15/11.58 44.15/11.58 44.15/11.58 The system was filtered by the following matrix interpretation 44.15/11.58 of type E_J with J = {1,...,2} and dimension 6: 44.15/11.58 44.15/11.58 0 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 1 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 1 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 0 0 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.15/11.58 \ / 44.15/11.58 2 is interpreted by 44.15/11.58 / \ 44.15/11.58 | 1 0 1 0 0 0 | 44.15/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 1 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 29-rule system 44.46/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.46/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.46/11.58 2 0 1 -> 3 0 2 1 , 44.46/11.58 2 0 1 -> 0 2 1 1 4 , 44.46/11.58 2 0 1 -> 0 3 2 4 1 , 44.46/11.58 2 0 1 -> 3 0 2 1 4 , 44.46/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.46/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.46/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.46/11.58 2 5 1 -> 0 2 1 5 1 , 44.46/11.58 2 5 1 -> 1 4 5 4 2 , 44.46/11.58 2 5 1 -> 5 0 2 1 4 , 44.46/11.58 2 5 1 -> 5 2 1 4 1 , 44.46/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.46/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.46/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.46/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.46/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.46/11.58 2 0 5 1 -> 5 4 2 1 0 , 44.46/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.46/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.46/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.46/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.46/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.46/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.46/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.46/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.46/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.46/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 5: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 1 0 1 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 1 0 | 44.46/11.58 | 0 1 0 1 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 28-rule system 44.46/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.46/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.46/11.58 2 0 1 -> 3 0 2 1 , 44.46/11.58 2 0 1 -> 0 2 1 1 4 , 44.46/11.58 2 0 1 -> 0 3 2 4 1 , 44.46/11.58 2 0 1 -> 3 0 2 1 4 , 44.46/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.46/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.46/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.46/11.58 2 5 1 -> 0 2 1 5 1 , 44.46/11.58 2 5 1 -> 1 4 5 4 2 , 44.46/11.58 2 5 1 -> 5 0 2 1 4 , 44.46/11.58 2 5 1 -> 5 2 1 4 1 , 44.46/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.46/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.46/11.58 0 1 5 1 -> 5 0 3 1 1 , 44.46/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.46/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.46/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.46/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.46/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.46/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.46/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.46/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.46/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.46/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.46/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.46/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 8: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 1 0 0 1 0 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 27-rule system 44.46/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.46/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.46/11.58 2 0 1 -> 3 0 2 1 , 44.46/11.58 2 0 1 -> 0 2 1 1 4 , 44.46/11.58 2 0 1 -> 0 3 2 4 1 , 44.46/11.58 2 0 1 -> 3 0 2 1 4 , 44.46/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.46/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.46/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.46/11.58 2 5 1 -> 0 2 1 5 1 , 44.46/11.58 2 5 1 -> 1 4 5 4 2 , 44.46/11.58 2 5 1 -> 5 0 2 1 4 , 44.46/11.58 2 5 1 -> 5 2 1 4 1 , 44.46/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.46/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.46/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.46/11.58 2 0 4 1 -> 3 0 2 4 1 , 44.46/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.46/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.46/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.46/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.46/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.46/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.46/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.46/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.46/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.46/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 5: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 26-rule system 44.46/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.46/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.46/11.58 2 0 1 -> 3 0 2 1 , 44.46/11.58 2 0 1 -> 0 2 1 1 4 , 44.46/11.58 2 0 1 -> 0 3 2 4 1 , 44.46/11.58 2 0 1 -> 3 0 2 1 4 , 44.46/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.46/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.46/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.46/11.58 2 5 1 -> 0 2 1 5 1 , 44.46/11.58 2 5 1 -> 1 4 5 4 2 , 44.46/11.58 2 5 1 -> 5 0 2 1 4 , 44.46/11.58 2 5 1 -> 5 2 1 4 1 , 44.46/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.46/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.46/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.46/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.46/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.46/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.46/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.46/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.46/11.58 2 5 5 1 -> 1 5 4 2 4 5 , 44.46/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.46/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.46/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.46/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 5: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 1 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 25-rule system 44.46/11.58 { 0 5 2 -> 0 2 4 5 3 , 44.46/11.58 0 5 2 -> 5 4 2 3 0 4 , 44.46/11.58 2 0 1 -> 3 0 2 1 , 44.46/11.58 2 0 1 -> 0 2 1 1 4 , 44.46/11.58 2 0 1 -> 0 3 2 4 1 , 44.46/11.58 2 0 1 -> 3 0 2 1 4 , 44.46/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.46/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.46/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.46/11.58 2 5 1 -> 0 2 1 5 1 , 44.46/11.58 2 5 1 -> 1 4 5 4 2 , 44.46/11.58 2 5 1 -> 5 0 2 1 4 , 44.46/11.58 2 5 1 -> 5 2 1 4 1 , 44.46/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.46/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.46/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.46/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.46/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.46/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.46/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.46/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.46/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.46/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.46/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.46/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 9: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 1 0 0 0 1 0 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 1 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 23-rule system 44.46/11.58 { 2 0 1 -> 3 0 2 1 , 44.46/11.58 2 0 1 -> 0 2 1 1 4 , 44.46/11.58 2 0 1 -> 0 3 2 4 1 , 44.46/11.58 2 0 1 -> 3 0 2 1 4 , 44.46/11.58 2 0 1 -> 0 2 2 3 4 1 , 44.46/11.58 2 0 1 -> 0 3 2 3 1 1 , 44.46/11.58 2 0 1 -> 4 0 4 2 1 4 , 44.46/11.58 2 5 1 -> 0 2 1 5 1 , 44.46/11.58 2 5 1 -> 1 4 5 4 2 , 44.46/11.58 2 5 1 -> 5 0 2 1 4 , 44.46/11.58 2 5 1 -> 5 2 1 4 1 , 44.46/11.58 2 5 1 -> 1 5 0 2 4 1 , 44.46/11.58 2 5 1 -> 5 2 1 1 1 1 , 44.46/11.58 0 5 5 2 -> 5 4 2 3 5 0 , 44.46/11.58 2 4 0 1 -> 1 0 2 4 4 , 44.46/11.58 2 4 0 1 -> 3 0 0 2 4 1 , 44.46/11.58 2 4 0 1 -> 5 4 0 2 1 1 , 44.46/11.58 2 5 2 1 -> 1 5 2 2 3 1 , 44.46/11.58 2 5 4 1 -> 4 5 2 1 4 4 , 44.46/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.46/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 , 44.46/11.58 2 4 0 5 1 -> 1 4 5 0 4 2 , 44.46/11.58 2 5 2 0 1 -> 0 2 4 1 5 2 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 4: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 | 44.46/11.58 | 0 1 0 0 | 44.46/11.58 | 0 0 0 1 | 44.46/11.58 | 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 | 44.46/11.58 | 0 1 0 0 | 44.46/11.58 | 0 0 0 0 | 44.46/11.58 | 0 1 1 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 | 44.46/11.58 | 0 1 0 0 | 44.46/11.58 | 0 0 2 0 | 44.46/11.58 | 0 1 1 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 | 44.46/11.58 | 0 1 0 0 | 44.46/11.58 | 0 0 0 0 | 44.46/11.58 | 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 | 44.46/11.58 | 0 1 0 0 | 44.46/11.58 | 0 0 1 0 | 44.46/11.58 | 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 | 44.46/11.58 | 0 1 0 0 | 44.46/11.58 | 0 1 0 1 | 44.46/11.58 | 0 0 0 1 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 3-rule system 44.46/11.58 { 0 5 5 2 -> 5 4 2 3 5 0 , 44.46/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 , 44.46/11.58 2 0 5 4 1 -> 0 4 5 3 2 1 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 6: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 1 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 2-rule system 44.46/11.58 { 0 5 5 2 -> 5 4 2 3 5 0 , 44.46/11.58 0 1 3 0 1 -> 0 3 1 0 1 1 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 5: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 | 44.46/11.58 | 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 1-rule system 44.46/11.58 { 0 1 3 0 1 -> 0 3 1 0 1 1 } 44.46/11.58 44.46/11.58 44.46/11.58 The system was filtered by the following matrix interpretation 44.46/11.58 of type E_J with J = {1,...,2} and dimension 6: 44.46/11.58 44.46/11.58 0 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 1 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 1 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 1 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 1 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 2 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 3 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 1 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 4 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 5 is interpreted by 44.46/11.58 / \ 44.46/11.58 | 1 0 0 0 0 0 | 44.46/11.58 | 0 1 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 | 0 0 0 0 0 0 | 44.46/11.58 \ / 44.46/11.58 44.46/11.58 Remains to prove termination of the 0-rule system 44.46/11.58 { } 44.46/11.58 44.46/11.58 44.46/11.58 The system is trivially terminating. 44.77/11.77 EOF