75.57/19.46 YES 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 7: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 1 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 1 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 1 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 58-rule system 76.15/19.60 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 76.15/19.60 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 76.15/19.60 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 76.15/19.60 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 3 3 0 -> 1 3 0 0 0 4 0 4 1 0 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 76.15/19.60 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 76.15/19.60 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 76.15/19.60 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 76.15/19.60 0 5 4 5 4 0 -> 0 2 1 2 5 4 5 1 5 5 , 76.15/19.60 2 0 3 5 3 0 -> 2 4 5 2 0 1 2 2 3 1 , 76.15/19.60 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 76.15/19.60 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 2 3 5 5 0 0 -> 1 5 3 2 2 3 5 4 3 1 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 76.15/19.60 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 , 76.15/19.60 0 4 3 0 0 4 2 ->= 0 2 1 4 2 0 4 1 4 4 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 6: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 1 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 1 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 56-rule system 76.15/19.60 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 76.15/19.60 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 76.15/19.60 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 76.15/19.60 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 76.15/19.60 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 76.15/19.60 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 76.15/19.60 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 76.15/19.60 0 5 4 5 4 0 -> 0 2 1 2 5 4 5 1 5 5 , 76.15/19.60 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 76.15/19.60 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 2 3 5 5 0 0 -> 1 5 3 2 2 3 5 4 3 1 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 76.15/19.60 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 , 76.15/19.60 0 4 3 0 0 4 2 ->= 0 2 1 4 2 0 4 1 4 4 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 7: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 1 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 1 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 55-rule system 76.15/19.60 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 76.15/19.60 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 76.15/19.60 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 76.15/19.60 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 76.15/19.60 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 76.15/19.60 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 76.15/19.60 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 76.15/19.60 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 76.15/19.60 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 2 3 5 5 0 0 -> 1 5 3 2 2 3 5 4 3 1 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 76.15/19.60 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 , 76.15/19.60 0 4 3 0 0 4 2 ->= 0 2 1 4 2 0 4 1 4 4 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 1 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 1 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 1 | 76.15/19.60 | 0 0 0 0 0 0 0 1 | 76.15/19.60 | 0 0 0 0 0 0 0 1 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 54-rule system 76.15/19.60 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 76.15/19.60 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 76.15/19.60 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 76.15/19.60 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 0 2 2 2 3 0 -> 0 2 5 4 5 1 5 4 4 2 , 76.15/19.60 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 76.15/19.60 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 76.15/19.60 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 76.15/19.60 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 76.15/19.60 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 76.15/19.60 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 , 76.15/19.60 0 4 3 0 0 4 2 ->= 0 2 1 4 2 0 4 1 4 4 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 7: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 1 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 2 0 | 76.15/19.60 | 0 1 0 0 0 1 0 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 53-rule system 76.15/19.60 { 3 3 0 -> 1 4 1 4 5 4 3 4 1 5 , 76.15/19.60 3 3 3 -> 1 1 3 3 1 1 1 0 1 5 , 76.15/19.60 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 76.15/19.60 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 3 3 0 5 -> 1 3 2 5 0 1 1 5 0 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 0 3 0 3 3 5 -> 0 3 2 4 2 3 5 1 5 0 , 76.15/19.60 0 4 3 0 3 3 -> 0 0 1 3 5 4 1 5 5 5 , 76.15/19.60 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 76.15/19.60 3 3 0 5 3 2 -> 3 5 5 4 1 0 5 1 0 4 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 3 3 0 3 2 -> 2 5 4 1 5 3 4 2 5 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 76.15/19.60 0 4 3 0 3 3 2 -> 3 1 4 5 3 4 1 1 0 2 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 0 4 3 0 5 -> 4 1 2 0 2 1 1 4 3 4 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 3 3 5 5 4 2 2 -> 3 4 4 4 1 3 4 1 0 2 , 76.15/19.60 4 2 3 0 3 3 2 -> 5 5 0 4 1 1 0 4 5 2 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 3 0 3 0 -> 3 5 3 0 1 3 0 4 1 0 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 , 76.15/19.60 0 4 3 0 0 4 2 ->= 0 2 1 4 2 0 4 1 4 4 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 10: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 1 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 1 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 41-rule system 76.15/19.60 { 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 76.15/19.60 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 3 4 5 3 4 4 -> 2 3 5 0 1 0 1 4 5 0 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 , 76.15/19.60 0 4 3 0 0 4 2 ->= 0 2 1 4 2 0 4 1 4 4 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 12: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 1 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 1 0 0 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 1 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 1 0 0 0 0 | 76.15/19.60 | 0 1 1 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 1 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 40-rule system 76.15/19.60 { 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 76.15/19.60 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 0 5 0 0 3 5 -> 1 3 0 3 1 3 5 1 3 5 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 , 76.15/19.60 0 4 3 0 0 4 2 ->= 0 2 1 4 2 0 4 1 4 4 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 7: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 1 1 | 76.15/19.60 | 0 0 0 0 0 1 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 39-rule system 76.15/19.60 { 0 4 3 0 -> 3 1 2 5 5 2 1 5 1 0 , 76.15/19.60 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 5 5 0 3 4 3 3 -> 1 5 5 0 5 0 1 5 5 3 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 , 76.15/19.60 0 4 3 0 0 4 2 ->= 0 2 1 4 2 0 4 1 4 4 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 5: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 | 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 1 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 | 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 1 | 76.15/19.60 \ / 76.15/19.60 2 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 76.15/19.60 Remains to prove termination of the 36-rule system 76.15/19.60 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.60 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.60 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.60 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.60 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.60 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.60 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.60 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.60 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.60 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.60 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.60 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.60 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.60 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.60 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.60 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.60 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.60 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.60 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.60 0 2 0 3 3 5 5 -> 3 2 2 5 4 4 3 3 1 4 , 76.15/19.60 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.60 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.60 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.60 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.60 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.60 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.60 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.60 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.60 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.60 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.60 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.60 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.60 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.60 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.60 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.60 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.60 76.15/19.60 76.15/19.60 The system was filtered by the following matrix interpretation 76.15/19.60 of type E_J with J = {1,...,2} and dimension 12: 76.15/19.60 76.15/19.60 3 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 1 0 0 0 0 0 1 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 1 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 1 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 1 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 0 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 1 0 0 0 0 0 1 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 1 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 1 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 4 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 1 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 \ / 76.15/19.60 5 is interpreted by 76.15/19.60 / \ 76.15/19.60 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 1 0 0 0 0 | 76.15/19.60 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 1 0 0 | 76.15/19.60 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 35-rule system 76.15/19.61 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.61 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.61 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.61 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.61 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.61 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.61 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.61 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.61 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.61 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.61 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 0 5 3 2 2 4 5 -> 0 0 0 1 3 1 1 0 5 3 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.61 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 34-rule system 76.15/19.61 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.61 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.61 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.61 3 3 5 5 5 -> 4 1 2 0 5 1 2 3 1 3 , 76.15/19.61 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.61 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.61 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.61 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.61 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.61 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.61 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.61 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 6: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 1 | 76.15/19.61 | 0 1 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 33-rule system 76.15/19.61 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.61 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.61 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 2 0 3 5 5 -> 1 5 4 2 1 0 2 2 4 5 , 76.15/19.61 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.61 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.61 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.61 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.61 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.61 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.61 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.61 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 6: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 1 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 | 76.15/19.61 | 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 32-rule system 76.15/19.61 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.61 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.61 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.61 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.61 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.61 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.61 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.61 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.61 0 3 4 0 3 0 3 -> 0 4 1 1 5 1 0 3 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.61 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 1 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 31-rule system 76.15/19.61 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.61 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.61 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.61 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.61 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.61 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.61 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 2 1 4 3 3 5 -> 0 5 5 1 0 5 3 1 1 4 , 76.15/19.61 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.61 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 1 1 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 30-rule system 76.15/19.61 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.61 3 0 0 0 -> 3 3 1 0 1 5 4 5 2 4 , 76.15/19.61 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 5 4 3 0 -> 1 2 5 2 4 1 4 4 2 4 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 4 5 3 5 3 -> 4 3 1 5 1 2 4 2 1 3 , 76.15/19.61 5 2 4 3 0 -> 2 4 2 5 4 0 1 1 0 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 3 4 0 3 0 2 -> 3 2 0 1 1 3 4 1 1 2 , 76.15/19.61 4 0 2 3 5 5 -> 5 1 2 1 1 1 1 0 2 4 , 76.15/19.61 4 0 3 0 2 2 -> 4 1 1 5 2 0 5 4 1 1 , 76.15/19.61 4 3 4 0 3 3 -> 1 5 2 4 2 4 2 4 0 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 4 5 3 5 2 0 -> 5 0 2 5 5 5 4 5 0 1 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 3 3 5 2 4 3 2 -> 3 0 4 1 1 5 0 3 1 1 , 76.15/19.61 4 2 3 3 5 1 3 -> 0 2 5 5 2 4 1 0 2 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 5: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 1 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 1 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 19-rule system 76.15/19.61 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.61 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 3 0 3 2 3 0 -> 2 3 0 0 4 1 3 1 1 2 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 18-rule system 76.15/19.61 { 2 4 0 3 -> 2 5 2 5 2 5 1 1 2 0 , 76.15/19.61 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 5: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 17-rule system 76.15/19.61 { 3 3 0 2 -> 3 3 4 1 0 4 3 1 1 5 , 76.15/19.61 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 5: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 16-rule system 76.15/19.61 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 0 3 2 0 3 -> 1 2 5 4 5 4 2 5 1 3 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 7: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 15-rule system 76.15/19.61 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 4 0 2 4 0 ->= 4 0 2 5 3 1 4 1 5 4 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 6: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 14-rule system 76.15/19.61 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 0 5 4 3 2 -> 3 1 5 5 0 1 5 2 0 2 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 6: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 13-rule system 76.15/19.61 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 0 5 1 0 3 3 2 -> 2 0 4 5 1 1 4 5 5 1 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 1 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 12-rule system 76.15/19.61 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 2 4 3 2 3 3 2 -> 2 5 4 0 2 5 4 4 1 1 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 11-rule system 76.15/19.61 { 0 2 4 3 2 -> 0 2 2 3 1 2 0 0 4 1 , 76.15/19.61 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 6: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 10-rule system 76.15/19.61 { 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 4 5 0 0 3 2 -> 4 4 2 1 1 5 2 5 0 2 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 7: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 9-rule system 76.15/19.61 { 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 5 0 4 5 4 3 0 -> 5 1 0 1 1 3 4 0 2 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 8-rule system 76.15/19.61 { 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 5 5 0 2 0 3 -> 4 1 5 4 4 5 0 2 5 3 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 7: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 7-rule system 76.15/19.61 { 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 5 3 2 4 3 1 5 -> 3 2 3 3 1 5 1 2 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 6-rule system 76.15/19.61 { 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 2 5 3 2 ->= 2 1 5 4 2 4 2 1 3 2 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 5: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 5-rule system 76.15/19.61 { 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 5 3 3 5 0 4 3 -> 1 2 0 1 3 5 3 4 1 4 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 8: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 4-rule system 76.15/19.61 { 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 5 2 0 0 3 ->= 5 2 0 2 0 0 1 3 1 5 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 6: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 1 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 3-rule system 76.15/19.61 { 5 3 3 2 2 -> 2 5 1 4 0 3 1 0 1 5 , 76.15/19.61 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system was filtered by the following matrix interpretation 76.15/19.61 of type E_J with J = {1,...,2} and dimension 6: 76.15/19.61 76.15/19.61 3 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 1 0 0 | 76.15/19.61 | 0 0 0 0 1 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 0 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 1 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 4 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 0 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 5 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 1 0 0 0 | 76.15/19.61 \ / 76.15/19.61 2 is interpreted by 76.15/19.61 / \ 76.15/19.61 | 1 0 1 0 0 0 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 0 | 76.15/19.61 | 0 0 0 0 0 1 | 76.15/19.61 | 0 1 0 0 0 0 | 76.15/19.61 \ / 76.15/19.61 76.15/19.61 Remains to prove termination of the 2-rule system 76.15/19.61 { 0 ->= 1 0 1 1 1 1 2 3 1 1 , 76.15/19.61 5 0 5 3 2 5 ->= 5 0 5 4 4 5 1 5 5 1 } 76.15/19.61 76.15/19.61 76.15/19.61 The system is trivially terminating. 103.40/45.41 EOF