85.97/22.06 YES 86.21/22.16 86.21/22.16 86.21/22.16 The system was filtered by the following matrix interpretation 86.21/22.16 of type E_J with J = {1,...,2} and dimension 10: 86.21/22.16 86.21/22.16 5 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 1 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 1 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 4 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 2 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 1 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 1 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 3 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 1 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 0 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 1 0 0 0 0 0 1 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 1 0 0 0 0 0 1 0 | 86.21/22.16 \ / 86.21/22.16 1 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 1 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 86.21/22.16 Remains to prove termination of the 53-rule system 86.21/22.16 { 5 4 2 -> 5 5 4 4 3 4 0 1 0 1 , 86.21/22.16 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.16 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 86.21/22.16 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.16 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.16 2 5 4 2 4 -> 2 3 2 0 5 0 4 2 0 4 , 86.21/22.16 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.16 0 1 3 5 4 0 -> 5 0 3 4 0 3 2 5 0 2 , 86.21/22.16 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.16 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 86.21/22.16 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 86.21/22.16 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 86.21/22.16 2 4 5 5 4 0 -> 0 2 3 1 3 4 4 4 0 5 , 86.21/22.16 3 0 4 5 4 2 -> 1 2 3 3 2 0 3 3 4 0 , 86.21/22.16 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 86.21/22.16 5 0 5 4 0 5 -> 0 0 4 0 4 0 3 1 3 2 , 86.21/22.16 5 2 5 2 2 4 -> 5 5 0 2 5 1 0 5 2 4 , 86.21/22.16 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 86.21/22.16 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 86.21/22.16 5 4 2 0 4 0 -> 0 1 1 1 1 4 0 2 5 1 , 86.21/22.16 5 4 2 2 3 0 -> 0 1 1 4 2 1 1 5 1 0 , 86.21/22.16 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.16 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 86.21/22.16 0 4 2 5 2 2 5 -> 1 4 2 5 3 0 3 1 2 5 , 86.21/22.16 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.16 0 4 5 2 5 4 2 -> 1 4 3 1 1 1 4 2 0 1 , 86.21/22.16 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 86.21/22.16 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 86.21/22.16 2 5 4 0 5 5 4 -> 2 0 1 2 0 5 0 4 0 3 , 86.21/22.16 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.16 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.16 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.16 5 5 4 2 4 0 5 -> 3 4 5 5 2 4 3 0 1 0 , 86.21/22.16 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.16 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.16 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.16 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.16 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.16 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.16 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.16 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.16 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.16 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.16 5 4 0 ->= 4 4 5 4 4 0 1 3 2 0 , 86.21/22.16 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.16 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.16 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.16 2 0 4 0 5 4 ->= 1 2 4 4 2 1 5 1 0 3 , 86.21/22.16 5 4 0 2 2 1 ->= 4 4 2 3 3 4 5 5 0 2 , 86.21/22.16 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.16 2 2 2 5 4 2 4 ->= 2 4 5 0 3 3 3 2 4 4 , 86.21/22.16 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 , 86.21/22.16 3 0 0 5 4 1 0 ->= 2 1 5 4 3 2 3 3 1 1 } 86.21/22.16 86.21/22.16 86.21/22.16 The system was filtered by the following matrix interpretation 86.21/22.16 of type E_J with J = {1,...,2} and dimension 8: 86.21/22.16 86.21/22.16 5 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 4 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 2 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 1 0 1 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 1 0 | 86.21/22.16 | 0 0 0 0 0 0 0 1 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 3 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 1 | 86.21/22.16 \ / 86.21/22.16 0 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 1 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 86.21/22.16 Remains to prove termination of the 52-rule system 86.21/22.16 { 5 4 2 -> 5 5 4 4 3 4 0 1 0 1 , 86.21/22.16 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.16 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 86.21/22.16 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.16 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.16 2 5 4 2 4 -> 2 3 2 0 5 0 4 2 0 4 , 86.21/22.16 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.16 0 1 3 5 4 0 -> 5 0 3 4 0 3 2 5 0 2 , 86.21/22.16 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.16 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 86.21/22.16 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 86.21/22.16 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 86.21/22.16 2 4 5 5 4 0 -> 0 2 3 1 3 4 4 4 0 5 , 86.21/22.16 3 0 4 5 4 2 -> 1 2 3 3 2 0 3 3 4 0 , 86.21/22.16 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 86.21/22.16 5 0 5 4 0 5 -> 0 0 4 0 4 0 3 1 3 2 , 86.21/22.16 5 2 5 2 2 4 -> 5 5 0 2 5 1 0 5 2 4 , 86.21/22.16 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 86.21/22.16 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 86.21/22.16 5 4 2 0 4 0 -> 0 1 1 1 1 4 0 2 5 1 , 86.21/22.16 5 4 2 2 3 0 -> 0 1 1 4 2 1 1 5 1 0 , 86.21/22.16 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.16 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 86.21/22.16 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.16 0 4 5 2 5 4 2 -> 1 4 3 1 1 1 4 2 0 1 , 86.21/22.16 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 86.21/22.16 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 86.21/22.16 2 5 4 0 5 5 4 -> 2 0 1 2 0 5 0 4 0 3 , 86.21/22.16 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.16 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.16 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.16 5 5 4 2 4 0 5 -> 3 4 5 5 2 4 3 0 1 0 , 86.21/22.16 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.16 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.16 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.16 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.16 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.16 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.16 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.16 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.16 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.16 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.16 5 4 0 ->= 4 4 5 4 4 0 1 3 2 0 , 86.21/22.16 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.16 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.16 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.16 2 0 4 0 5 4 ->= 1 2 4 4 2 1 5 1 0 3 , 86.21/22.16 5 4 0 2 2 1 ->= 4 4 2 3 3 4 5 5 0 2 , 86.21/22.16 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.16 2 2 2 5 4 2 4 ->= 2 4 5 0 3 3 3 2 4 4 , 86.21/22.16 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 , 86.21/22.16 3 0 0 5 4 1 0 ->= 2 1 5 4 3 2 3 3 1 1 } 86.21/22.16 86.21/22.16 86.21/22.16 The system was filtered by the following matrix interpretation 86.21/22.16 of type E_J with J = {1,...,2} and dimension 6: 86.21/22.16 86.21/22.16 5 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 1 | 86.21/22.16 \ / 86.21/22.16 4 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 1 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 2 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 1 | 86.21/22.16 | 0 0 0 0 0 1 | 86.21/22.16 \ / 86.21/22.16 3 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 0 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 1 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 86.21/22.16 Remains to prove termination of the 49-rule system 86.21/22.16 { 5 4 2 -> 5 5 4 4 3 4 0 1 0 1 , 86.21/22.16 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.16 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 86.21/22.16 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.16 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.16 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.16 0 1 3 5 4 0 -> 5 0 3 4 0 3 2 5 0 2 , 86.21/22.16 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.16 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 86.21/22.16 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 86.21/22.16 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 86.21/22.16 2 4 5 5 4 0 -> 0 2 3 1 3 4 4 4 0 5 , 86.21/22.16 3 0 4 5 4 2 -> 1 2 3 3 2 0 3 3 4 0 , 86.21/22.16 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 86.21/22.16 5 0 5 4 0 5 -> 0 0 4 0 4 0 3 1 3 2 , 86.21/22.16 5 2 5 2 2 4 -> 5 5 0 2 5 1 0 5 2 4 , 86.21/22.16 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 86.21/22.16 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 86.21/22.16 5 4 2 0 4 0 -> 0 1 1 1 1 4 0 2 5 1 , 86.21/22.16 5 4 2 2 3 0 -> 0 1 1 4 2 1 1 5 1 0 , 86.21/22.16 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.16 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 86.21/22.16 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.16 0 4 5 2 5 4 2 -> 1 4 3 1 1 1 4 2 0 1 , 86.21/22.16 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 86.21/22.16 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 86.21/22.16 2 5 4 0 5 5 4 -> 2 0 1 2 0 5 0 4 0 3 , 86.21/22.16 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.16 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.16 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.16 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.16 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.16 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.16 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.16 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.16 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.16 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.16 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.16 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.16 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.16 5 4 0 ->= 4 4 5 4 4 0 1 3 2 0 , 86.21/22.16 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.16 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.16 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.16 2 0 4 0 5 4 ->= 1 2 4 4 2 1 5 1 0 3 , 86.21/22.16 5 4 0 2 2 1 ->= 4 4 2 3 3 4 5 5 0 2 , 86.21/22.16 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.16 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 , 86.21/22.16 3 0 0 5 4 1 0 ->= 2 1 5 4 3 2 3 3 1 1 } 86.21/22.16 86.21/22.16 86.21/22.16 The system was filtered by the following matrix interpretation 86.21/22.16 of type E_J with J = {1,...,2} and dimension 11: 86.21/22.16 86.21/22.16 5 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 0 1 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 1 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 4 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 2 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 1 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 1 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 3 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 1 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 0 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 1 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 1 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 86.21/22.16 Remains to prove termination of the 48-rule system 86.21/22.16 { 5 4 2 -> 5 5 4 4 3 4 0 1 0 1 , 86.21/22.16 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.16 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 86.21/22.16 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.16 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.16 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.16 0 1 3 5 4 0 -> 5 0 3 4 0 3 2 5 0 2 , 86.21/22.16 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.16 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 86.21/22.16 2 2 5 4 1 2 -> 3 3 0 0 5 2 4 5 1 2 , 86.21/22.16 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 86.21/22.16 2 4 5 5 4 0 -> 0 2 3 1 3 4 4 4 0 5 , 86.21/22.16 3 0 4 5 4 2 -> 1 2 3 3 2 0 3 3 4 0 , 86.21/22.16 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 86.21/22.16 5 0 5 4 0 5 -> 0 0 4 0 4 0 3 1 3 2 , 86.21/22.16 5 2 5 4 1 0 -> 5 1 1 5 2 1 0 1 3 2 , 86.21/22.16 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 86.21/22.16 5 4 2 0 4 0 -> 0 1 1 1 1 4 0 2 5 1 , 86.21/22.16 5 4 2 2 3 0 -> 0 1 1 4 2 1 1 5 1 0 , 86.21/22.16 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.16 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 86.21/22.16 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.16 0 4 5 2 5 4 2 -> 1 4 3 1 1 1 4 2 0 1 , 86.21/22.16 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 86.21/22.16 2 2 5 4 1 4 0 -> 3 1 5 2 3 2 3 2 1 4 , 86.21/22.16 2 5 4 0 5 5 4 -> 2 0 1 2 0 5 0 4 0 3 , 86.21/22.16 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.16 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.16 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.16 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.16 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.16 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.16 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.16 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.16 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.16 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.16 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.16 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.16 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.16 5 4 0 ->= 4 4 5 4 4 0 1 3 2 0 , 86.21/22.16 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.16 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.16 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.16 2 0 4 0 5 4 ->= 1 2 4 4 2 1 5 1 0 3 , 86.21/22.16 5 4 0 2 2 1 ->= 4 4 2 3 3 4 5 5 0 2 , 86.21/22.16 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.16 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 , 86.21/22.16 3 0 0 5 4 1 0 ->= 2 1 5 4 3 2 3 3 1 1 } 86.21/22.16 86.21/22.16 86.21/22.16 The system was filtered by the following matrix interpretation 86.21/22.16 of type E_J with J = {1,...,2} and dimension 9: 86.21/22.16 86.21/22.16 5 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 1 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 4 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 0 0 1 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 2 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 3 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 1 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 0 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 1 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 1 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 1 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 1 | 86.21/22.16 \ / 86.21/22.16 86.21/22.16 Remains to prove termination of the 33-rule system 86.21/22.16 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.16 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 86.21/22.16 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.16 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.16 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.16 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.16 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 86.21/22.16 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 86.21/22.16 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 86.21/22.16 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 86.21/22.16 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.16 0 4 2 4 2 4 2 -> 1 4 5 1 2 3 1 2 0 1 , 86.21/22.16 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.16 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 86.21/22.16 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.16 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.16 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.16 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.16 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.16 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.16 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.16 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.16 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.16 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.16 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.16 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.16 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.16 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.16 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.16 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.16 2 0 4 0 5 4 ->= 1 2 4 4 2 1 5 1 0 3 , 86.21/22.16 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.16 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 } 86.21/22.16 86.21/22.16 86.21/22.16 The system was filtered by the following matrix interpretation 86.21/22.16 of type E_J with J = {1,...,2} and dimension 8: 86.21/22.16 86.21/22.16 5 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 4 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 1 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 1 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 1 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 2 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 1 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 1 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 3 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 0 0 0 0 0 0 | 86.21/22.16 | 0 1 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 | 0 0 0 0 0 0 0 0 | 86.21/22.16 \ / 86.21/22.16 0 is interpreted by 86.21/22.16 / \ 86.21/22.16 | 1 0 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 32-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 86.21/22.17 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.17 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.17 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 86.21/22.17 2 4 0 5 5 4 -> 0 3 1 1 2 0 1 3 4 3 , 86.21/22.17 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 86.21/22.17 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 86.21/22.17 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.17 2 0 4 0 5 4 ->= 1 2 4 4 2 1 5 1 0 3 , 86.21/22.17 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.17 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 7: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 31-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 86.21/22.17 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.17 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.17 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 2 0 4 5 2 1 -> 3 0 3 3 2 5 0 4 3 4 , 86.21/22.17 4 2 4 1 2 5 -> 3 4 0 5 0 5 1 4 1 5 , 86.21/22.17 5 3 0 4 2 1 -> 5 2 1 0 2 5 4 4 1 1 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 1 0 4 5 4 3 5 -> 1 2 4 4 3 0 5 3 2 0 , 86.21/22.17 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.17 2 0 4 0 5 4 ->= 1 2 4 4 2 1 5 1 0 3 , 86.21/22.17 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.17 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 12: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 1 0 0 1 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 1 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 27-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 4 0 5 4 -> 4 0 4 4 1 3 3 3 5 4 , 86.21/22.17 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.17 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.17 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.17 2 0 4 0 5 4 ->= 1 2 4 4 2 1 5 1 0 3 , 86.21/22.17 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.17 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 5: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 25-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.17 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.17 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 2 2 ->= 0 0 4 5 3 4 4 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.17 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.17 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 8: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 1 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 24-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.17 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.17 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 4 1 2 4 2 2 5 -> 4 2 2 2 0 4 1 0 2 5 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.17 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.17 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 8: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 1 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 1 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 23-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.17 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.17 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 0 5 4 ->= 0 2 3 3 3 5 3 4 3 3 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.17 2 2 2 0 5 4 3 ->= 0 5 2 3 2 3 1 1 4 3 , 86.21/22.17 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 10: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 1 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 1 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 21-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 4 5 3 5 -> 3 4 1 4 4 0 2 1 3 2 , 86.21/22.17 1 0 4 5 2 -> 1 4 1 0 3 3 1 4 0 1 , 86.21/22.17 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 , 86.21/22.17 2 4 5 5 5 3 5 ->= 5 4 3 0 0 2 0 0 2 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 5: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 1 1 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 18-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 5 3 5 3 5 -> 0 5 5 2 4 1 3 2 5 2 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 6: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 17-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 5 5 3 0 4 3 0 -> 0 1 0 4 0 2 1 1 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 2 3 0 5 ->= 1 0 1 1 3 2 1 5 1 5 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 5: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 15-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 5 2 1 5 ->= 0 0 3 3 4 4 2 5 3 2 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 5: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 14-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 4 0 ->= 4 3 2 5 1 0 2 2 0 1 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 3: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 13-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 4 3 0 2 1 5 -> 0 2 0 3 1 5 4 4 2 0 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 8: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 1 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 12-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 5 2 3 1 0 4 0 -> 0 2 5 3 4 0 3 5 1 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 8: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 11-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 , 86.21/22.17 4 3 0 2 5 ->= 4 3 3 0 3 2 5 5 0 5 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 6: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 10-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 4 0 3 5 3 0 -> 5 1 2 4 5 3 4 2 5 0 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 8: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 9-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 , 86.21/22.17 5 3 0 ->= 0 4 4 1 3 0 5 1 5 0 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 6: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 1 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 8-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 1 0 4 3 5 2 -> 1 1 5 3 3 4 4 2 2 2 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 0 4 ->= 0 3 4 1 4 1 5 5 1 4 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 3: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 | 86.21/22.17 | 0 1 0 | 86.21/22.17 | 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 6-rule system 86.21/22.17 { 1 4 2 1 -> 1 0 1 3 2 0 1 4 1 1 , 86.21/22.17 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system was filtered by the following matrix interpretation 86.21/22.17 of type E_J with J = {1,...,2} and dimension 5: 86.21/22.17 86.21/22.17 5 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 4 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 1 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 2 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 1 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 3 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 0 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 \ / 86.21/22.17 1 is interpreted by 86.21/22.17 / \ 86.21/22.17 | 1 0 1 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 0 0 0 0 | 86.21/22.17 | 0 1 0 0 0 | 86.21/22.17 \ / 86.21/22.17 86.21/22.17 Remains to prove termination of the 5-rule system 86.21/22.17 { 0 ->= 0 1 0 0 1 2 2 2 0 1 , 86.21/22.17 0 0 ->= 0 3 2 4 4 1 0 1 2 1 , 86.21/22.17 2 4 ->= 3 2 0 1 2 0 1 3 4 4 , 86.21/22.17 5 0 ->= 5 3 2 5 5 0 2 2 1 0 , 86.21/22.17 2 2 0 ->= 3 0 2 5 2 5 5 1 0 1 } 86.21/22.17 86.21/22.17 86.21/22.17 The system is trivially terminating. 116.53/48.84 EOF