41.68/10.81 YES 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 14: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 1 1 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 59-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 1 2 5 2 -> 1 3 4 4 1 4 1 0 1 0 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 1 2 5 2 5 -> 1 3 2 3 0 0 5 0 3 0 , 41.96/10.95 2 1 2 5 2 -> 0 2 3 2 2 0 0 5 3 2 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 5 3 1 2 4 -> 5 5 4 1 3 0 0 3 0 4 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 1 4 1 2 1 4 -> 1 2 5 2 0 0 3 1 5 5 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 2 5 1 2 4 0 5 -> 0 0 5 5 5 0 0 0 3 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 4 3 5 3 5 -> 0 0 0 3 4 2 4 1 2 5 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 4 5 3 1 1 2 4 -> 4 4 1 4 4 3 2 1 0 4 , 41.96/10.95 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 1 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 1 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 58-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 1 2 5 2 -> 1 3 4 4 1 4 1 0 1 0 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 1 2 5 2 5 -> 1 3 2 3 0 0 5 0 3 0 , 41.96/10.95 2 1 2 5 2 -> 0 2 3 2 2 0 0 5 3 2 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 5 3 1 2 4 -> 5 5 4 1 3 0 0 3 0 4 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 2 5 1 2 4 0 5 -> 0 0 5 5 5 0 0 0 3 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 4 3 5 3 5 -> 0 0 0 3 4 2 4 1 2 5 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 4 5 3 1 1 2 4 -> 4 4 1 4 4 3 2 1 0 4 , 41.96/10.95 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 6: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 1 1 0 1 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 1 0 0 | 41.96/10.95 | 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 56-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 1 2 5 2 -> 1 3 4 4 1 4 1 0 1 0 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 1 2 5 2 5 -> 1 3 2 3 0 0 5 0 3 0 , 41.96/10.95 2 1 2 5 2 -> 0 2 3 2 2 0 0 5 3 2 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 4 3 5 3 5 -> 0 0 0 3 4 2 4 1 2 5 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 4 5 3 1 1 2 4 -> 4 4 1 4 4 3 2 1 0 4 , 41.96/10.95 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 55-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 1 2 5 2 -> 1 3 4 4 1 4 1 0 1 0 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 1 2 5 2 5 -> 1 3 2 3 0 0 5 0 3 0 , 41.96/10.95 2 1 2 5 2 -> 0 2 3 2 2 0 0 5 3 2 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 4 5 3 1 1 2 4 -> 4 4 1 4 4 3 2 1 0 4 , 41.96/10.95 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 5: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 | 41.96/10.95 | 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 | 41.96/10.95 | 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 51-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 1 2 5 1 4 3 -> 0 3 3 4 3 0 1 0 3 3 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 50-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 2 1 2 1 2 -> 3 3 5 1 1 3 1 0 2 2 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 1 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 1 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 1 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 49-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 0 4 5 1 2 -> 0 4 0 3 0 4 5 1 5 5 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 3 1 2 -> 3 4 4 0 4 4 2 4 3 0 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 1 3 5 2 -> 5 0 1 0 2 0 0 0 5 2 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 1 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 1 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 46-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 5 1 1 4 5 0 5 -> 5 0 3 4 2 1 1 5 5 3 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 13: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 45-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 3 5 4 5 3 -> 5 3 0 0 0 4 1 0 4 4 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 1 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 5 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 1 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 4 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 | 41.96/10.95 | 0 1 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 41.96/10.95 Remains to prove termination of the 44-rule system 41.96/10.95 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.95 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.95 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.95 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.95 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.95 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.95 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.95 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.95 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.95 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.95 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.95 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.95 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.95 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.95 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.95 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.95 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.95 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.95 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.95 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.95 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.95 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.95 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.95 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.95 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.95 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.95 1 3 1 2 5 5 3 -> 3 3 3 0 4 4 0 0 3 3 , 41.96/10.95 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.95 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.95 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.95 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.95 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.95 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.95 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.95 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.95 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.95 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.95 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.95 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.95 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.95 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.95 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.95 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.95 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.95 41.96/10.95 41.96/10.95 The system was filtered by the following matrix interpretation 41.96/10.95 of type E_J with J = {1,...,2} and dimension 13: 41.96/10.95 41.96/10.95 0 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 1 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 2 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 \ / 41.96/10.95 3 is interpreted by 41.96/10.95 / \ 41.96/10.95 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.95 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 43-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.96 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.96 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 2 5 3 3 3 -> 1 0 3 0 5 1 1 5 5 0 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 42-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.96 3 3 5 0 4 2 -> 3 0 0 2 0 4 1 4 4 2 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.96 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 10: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 41-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 1 0 1 2 0 -> 5 4 2 1 0 2 4 3 1 0 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.96 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 40-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.96 1 4 1 2 3 4 5 -> 1 1 0 4 4 2 5 4 4 5 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 13: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 1 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 39-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 1 2 0 5 5 3 4 -> 0 5 4 4 1 5 0 4 4 4 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 14: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 38-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 3 3 3 5 0 -> 3 2 4 1 5 0 0 0 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 3 5 3 3 1 2 -> 1 5 4 3 3 5 4 5 2 2 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 6: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 1 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 36-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 3 3 5 0 -> 3 0 1 5 4 3 1 3 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 2 5 5 3 5 3 -> 3 2 2 1 5 3 0 2 0 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 1 4 3 3 5 3 -> 4 2 1 3 0 4 3 2 2 0 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 10: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 33-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 1 2 3 3 3 0 ->= 1 5 3 1 3 5 1 5 4 2 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 1 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 32-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 1 4 3 1 3 -> 4 0 2 2 2 3 2 4 4 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 31-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 1 2 3 4 0 -> 1 4 4 0 3 2 0 2 1 0 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 6: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 1 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 30-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 1 4 0 1 4 -> 0 2 0 1 3 4 3 1 5 2 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 29-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 5 2 4 1 2 5 0 -> 5 4 3 0 0 4 4 1 5 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 28-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 2 5 5 2 1 -> 1 5 4 5 3 2 3 2 0 1 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 1 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 2 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 27-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 4 1 4 2 -> 4 2 2 2 2 2 1 0 3 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 3 2 1 4 2 -> 0 4 3 1 1 5 5 0 2 2 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 0 3 2 1 4 2 -> 0 1 0 0 2 0 3 5 3 2 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 3 1 5 2 5 1 0 -> 3 4 4 2 3 4 0 4 0 2 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 4 1 4 3 2 3 ->= 4 5 4 1 1 0 3 2 0 3 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 2 2 5 5 4 5 2 ->= 2 1 0 3 4 1 0 1 4 4 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 6: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 1 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 1 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 21-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 3 2 5 3 -> 3 2 3 3 2 0 1 0 0 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 5: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 20-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 , 41.96/10.96 4 5 3 4 1 2 1 ->= 4 0 5 4 1 5 5 0 0 1 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 19-rule system 41.96/10.96 { 0 1 2 3 -> 0 0 2 2 0 1 0 5 5 4 , 41.96/10.96 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 5: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 18-rule system 41.96/10.96 { 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 3 4 0 0 5 1 -> 3 0 0 4 2 1 0 3 0 1 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 1 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 1 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 17-rule system 41.96/10.96 { 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 2 5 5 3 2 5 -> 0 0 0 3 0 2 1 4 2 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 1 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 1 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 16-rule system 41.96/10.96 { 0 1 4 0 -> 1 5 4 2 2 4 2 2 4 2 , 41.96/10.96 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 5: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 1 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 15-rule system 41.96/10.96 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 , 41.96/10.96 2 2 4 5 5 3 5 ->= 2 2 4 2 0 1 0 2 5 5 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 1 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 1 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 1 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 4 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 41.96/10.96 Remains to prove termination of the 14-rule system 41.96/10.96 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.96 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.96 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.96 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.96 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.96 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.96 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.96 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.96 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.96 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.96 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.96 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.96 4 2 ->= 4 3 1 5 4 2 1 1 5 4 , 41.96/10.96 2 2 4 5 ->= 2 1 0 2 3 5 1 5 5 5 } 41.96/10.96 41.96/10.96 41.96/10.96 The system was filtered by the following matrix interpretation 41.96/10.96 of type E_J with J = {1,...,2} and dimension 5: 41.96/10.96 41.96/10.96 0 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 1 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 1 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 2 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 1 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 1 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 3 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.96 | 0 1 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 | 0 0 0 0 0 | 41.96/10.96 \ / 41.96/10.96 5 is interpreted by 41.96/10.96 / \ 41.96/10.96 | 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 13-rule system 41.96/10.97 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.97 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.97 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.97 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.97 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.97 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 2 4 5 0 5 2 5 -> 0 4 3 2 1 1 1 4 2 3 , 41.96/10.97 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 12-rule system 41.96/10.97 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.97 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.97 2 5 5 5 0 -> 3 2 2 2 5 5 4 1 0 0 , 41.96/10.97 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.97 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.97 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 12: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 11-rule system 41.96/10.97 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.97 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.97 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.97 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.97 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 5 5 3 0 5 3 -> 5 4 3 0 4 2 2 4 3 0 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 11: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 1 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 10-rule system 41.96/10.97 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.97 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.97 4 3 3 1 4 -> 4 1 0 0 2 2 4 3 3 0 , 41.96/10.97 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.97 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 6: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 9-rule system 41.96/10.97 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.97 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.97 0 3 1 2 5 3 -> 0 1 0 4 5 5 4 1 5 3 , 41.96/10.97 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 8-rule system 41.96/10.97 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.97 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.97 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 4 3 4 2 5 5 1 -> 5 2 0 4 1 3 0 1 1 1 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 7-rule system 41.96/10.97 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.97 2 2 5 4 5 -> 2 0 2 0 3 5 5 1 5 5 , 41.96/10.97 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 6: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 | 41.96/10.97 | 0 1 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 6-rule system 41.96/10.97 { 2 1 2 0 -> 0 2 0 0 4 2 2 0 4 2 , 41.96/10.97 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 5: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 1 1 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 | 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 5-rule system 41.96/10.97 { 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 2 0 5 4 5 3 5 -> 2 0 2 1 4 4 0 0 0 4 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 4-rule system 41.96/10.97 { 4 3 5 4 5 2 -> 5 3 0 3 2 2 3 1 5 2 , 41.96/10.97 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 7: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 3-rule system 41.96/10.97 { 4 5 0 4 4 5 3 -> 4 4 5 1 1 1 5 4 4 0 , 41.96/10.97 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system was filtered by the following matrix interpretation 41.96/10.97 of type E_J with J = {1,...,2} and dimension 8: 41.96/10.97 41.96/10.97 0 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 1 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 1 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 2 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 3 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 5 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 0 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 1 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 1 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 4 is interpreted by 41.96/10.97 / \ 41.96/10.97 | 1 0 1 0 0 0 0 0 | 41.96/10.97 | 0 1 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 1 0 0 | 41.96/10.97 | 0 0 0 0 0 0 1 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 | 0 0 0 0 0 0 0 0 | 41.96/10.97 \ / 41.96/10.97 41.96/10.97 Remains to prove termination of the 2-rule system 41.96/10.97 { 0 1 ->= 0 0 0 1 0 2 3 2 0 1 , 41.96/10.97 4 2 ->= 4 3 1 5 4 2 1 1 5 4 } 41.96/10.97 41.96/10.97 41.96/10.97 The system is trivially terminating. 43.51/11.49 EOF