18.49/4.95 YES 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 59-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 4 0 5 2 -> 4 1 3 2 3 1 2 4 3 1 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 1 5 0 5 2 0 -> 0 0 2 1 0 2 2 4 4 1 , 19.04/5.09 2 5 0 5 2 5 -> 3 3 3 4 0 2 3 3 3 4 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 3 5 2 0 5 2 -> 3 4 2 3 2 0 3 3 3 4 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 19.04/5.09 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 19.04/5.09 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 19.04/5.09 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 0 5 2 2 5 -> 4 2 0 0 5 4 3 0 3 4 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 2 2 2 4 2 -> 0 3 5 3 1 3 1 3 4 2 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 0 0 5 2 5 0 ->= 4 3 4 3 5 5 4 1 2 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 , 19.04/5.09 5 1 4 4 1 5 2 ->= 5 4 3 0 4 1 2 0 1 2 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 1 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 1 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 58-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 4 0 5 2 -> 4 1 3 2 3 1 2 4 3 1 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 1 5 0 5 2 0 -> 0 0 2 1 0 2 2 4 4 1 , 19.04/5.09 2 5 0 5 2 5 -> 3 3 3 4 0 2 3 3 3 4 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 3 5 2 0 5 2 -> 3 4 2 3 2 0 3 3 3 4 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 19.04/5.09 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 19.04/5.09 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 19.04/5.09 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 0 5 2 2 5 -> 4 2 0 0 5 4 3 0 3 4 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 2 2 2 4 2 -> 0 3 5 3 1 3 1 3 4 2 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 0 0 5 2 5 0 ->= 4 3 4 3 5 5 4 1 2 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 5: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 | 19.04/5.09 | 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 | 19.04/5.09 | 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 | 19.04/5.09 | 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 | 19.04/5.09 | 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 | 19.04/5.09 | 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 53-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 19.04/5.09 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 19.04/5.09 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 19.04/5.09 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 2 2 2 4 2 -> 0 3 5 3 1 3 1 3 4 2 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 0 0 5 2 5 0 ->= 4 3 4 3 5 5 4 1 2 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 1 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 1 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 52-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 19.04/5.09 0 4 1 0 0 5 0 -> 0 5 5 0 1 5 0 3 1 3 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 19.04/5.09 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 19.04/5.09 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 0 0 5 2 5 0 ->= 4 3 4 3 5 5 4 1 2 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 51-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 0 5 5 1 5 -> 3 5 1 2 1 0 1 1 0 2 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 2 0 4 1 -> 3 1 2 1 1 2 0 0 4 1 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 19.04/5.09 0 5 2 4 1 5 0 -> 3 5 3 0 3 0 5 5 5 1 , 19.04/5.09 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 0 0 5 2 5 0 ->= 4 3 4 3 5 5 4 1 2 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 6: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 | 19.04/5.09 | 0 0 1 0 0 1 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 1 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 47-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 0 4 5 0 4 0 5 -> 1 1 3 3 4 2 3 1 1 4 , 19.04/5.09 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 46-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 0 4 5 2 4 4 -> 3 0 0 1 1 2 3 0 0 2 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 45-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 0 5 5 3 0 4 1 -> 4 3 1 2 0 2 2 5 4 1 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 44-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 5 1 1 5 0 4 -> 5 1 2 0 2 0 2 4 1 2 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 13: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 1 0 0 0 0 0 1 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 5 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 19.04/5.09 Remains to prove termination of the 43-rule system 19.04/5.09 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.09 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.09 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.09 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.09 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.09 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.09 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.09 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.09 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.09 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.09 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.09 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.09 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.09 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.09 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.09 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.09 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.09 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.09 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.09 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.09 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.09 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.09 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.09 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.09 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.09 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.09 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.09 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.09 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.09 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.09 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.09 5 0 4 0 2 2 4 -> 5 1 1 1 3 0 5 1 1 1 , 19.04/5.09 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.09 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.09 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.09 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.09 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.09 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.09 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.09 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.09 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.09 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.09 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.09 19.04/5.09 19.04/5.09 The system was filtered by the following matrix interpretation 19.04/5.09 of type E_J with J = {1,...,2} and dimension 14: 19.04/5.09 19.04/5.09 0 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 4 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 2 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 1 0 1 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 1 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 \ / 19.04/5.09 3 is interpreted by 19.04/5.09 / \ 19.04/5.09 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.09 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 42-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 4 4 4 5 2 -> 4 4 1 2 1 0 3 3 1 4 , 19.04/5.10 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.10 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.10 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.10 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.10 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 6: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 1 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 41-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.10 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.10 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.10 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 4 2 5 4 0 5 -> 0 1 0 2 0 4 0 3 3 4 , 19.04/5.10 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 7: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 40-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.10 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.10 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.10 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 0 5 0 4 0 ->= 1 2 3 3 5 5 5 0 0 3 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 6: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 39-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.10 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.10 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.10 0 5 4 4 1 1 -> 0 5 5 4 1 1 2 1 3 2 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 13: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 38-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 0 4 2 5 0 -> 0 3 5 4 1 1 0 2 0 3 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 5 4 2 5 0 -> 5 1 2 3 2 3 4 0 0 3 , 19.04/5.10 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.10 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 4 5 2 5 4 4 1 -> 0 0 2 0 2 5 4 4 0 3 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 6: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 1 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 35-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.10 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 0 4 1 4 1 5 0 -> 1 1 3 4 2 1 2 0 5 1 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 12: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 34-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 0 4 2 5 5 0 -> 1 4 0 1 3 3 2 4 1 2 , 19.04/5.10 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 7: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 33-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 0 4 5 1 0 0 -> 1 4 0 1 3 1 1 3 1 0 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 13: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 32-rule system 19.04/5.10 { 0 4 2 1 -> 0 2 0 1 0 3 1 1 0 3 , 19.04/5.10 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 2 2 5 2 0 -> 2 4 4 4 4 0 3 1 1 3 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 3 4 5 2 2 0 -> 3 5 0 1 3 2 3 2 3 0 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 2 5 2 3 5 2 1 -> 2 4 5 0 1 1 4 5 1 3 , 19.04/5.10 3 3 5 2 2 5 0 -> 3 1 3 2 4 2 2 0 0 1 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 5: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 1 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 1 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 27-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 4 4 1 4 0 4 -> 1 0 3 1 1 4 5 3 1 5 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 2 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 26-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 5 4 5 5 2 5 3 -> 5 4 0 1 1 3 1 3 5 3 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 25-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 1 5 5 4 2 ->= 1 3 2 1 3 5 3 3 2 2 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 6: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 24-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 1 5 0 2 2 0 4 -> 0 0 1 1 2 0 2 4 3 4 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 23-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 0 4 2 4 2 3 0 -> 1 5 1 0 2 0 3 0 1 0 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 22-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 4 2 1 5 1 ->= 4 2 0 3 3 4 0 3 3 2 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 6: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 21-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 4 1 5 2 -> 2 1 1 5 4 5 4 0 3 3 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 14: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 20-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 1 4 2 1 0 -> 4 1 2 4 3 1 3 2 3 0 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 14: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 1 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 19-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 2 5 1 5 3 5 2 -> 2 2 4 4 3 1 3 0 3 3 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 14: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 0 0 1 0 0 0 0 1 | 19.04/5.10 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 18-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 5 ->= 1 3 1 2 1 0 0 3 1 5 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 5: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 1 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 | 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 17-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 0 4 -> 0 3 1 1 5 5 0 3 0 3 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 2 0 4 4 2 0 4 -> 3 1 5 5 2 3 2 1 3 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.10 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.10 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.10 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.10 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.10 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.10 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.10 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.10 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.10 19.04/5.10 19.04/5.10 The system was filtered by the following matrix interpretation 19.04/5.10 of type E_J with J = {1,...,2} and dimension 6: 19.04/5.10 19.04/5.10 0 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 1 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 4 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 1 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 2 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 1 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 1 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 3 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 0 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 1 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 5 is interpreted by 19.04/5.10 / \ 19.04/5.10 | 1 0 1 0 0 0 | 19.04/5.10 | 0 1 0 0 0 0 | 19.04/5.10 | 0 0 0 1 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 | 0 0 0 0 0 0 | 19.04/5.10 \ / 19.04/5.10 19.04/5.10 Remains to prove termination of the 15-rule system 19.04/5.10 { 1 5 1 0 -> 3 4 0 3 1 3 3 2 2 0 , 19.04/5.10 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.10 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.10 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.10 2 2 0 4 2 4 2 -> 2 1 1 2 4 1 4 4 1 1 , 19.04/5.10 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.10 2 3 5 5 4 0 0 -> 3 3 4 1 5 1 3 2 2 0 , 19.04/5.11 2 4 5 1 1 5 2 -> 2 3 0 3 3 3 0 0 4 2 , 19.04/5.11 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.11 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.11 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.11 2 2 5 ->= 3 1 2 2 1 1 1 1 4 4 , 19.04/5.11 1 4 1 1 ->= 0 3 3 2 0 4 0 3 3 2 , 19.04/5.11 1 5 0 4 5 ->= 1 2 1 0 0 0 2 3 4 4 , 19.04/5.11 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.11 19.04/5.11 19.04/5.11 The system was filtered by the following matrix interpretation 19.04/5.11 of type E_J with J = {1,...,2} and dimension 5: 19.04/5.11 19.04/5.11 0 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 \ / 19.04/5.11 4 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 | 0 0 0 1 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 2 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 1 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 1 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 \ / 19.04/5.11 3 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 5 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 1 0 0 0 | 19.04/5.11 | 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 19.04/5.11 Remains to prove termination of the 8-rule system 19.04/5.11 { 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.11 2 1 4 1 4 -> 2 0 3 1 1 4 4 1 2 4 , 19.04/5.11 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.11 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.11 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.11 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.11 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.11 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.11 19.04/5.11 19.04/5.11 The system was filtered by the following matrix interpretation 19.04/5.11 of type E_J with J = {1,...,2} and dimension 12: 19.04/5.11 19.04/5.11 0 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 1 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 4 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 2 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 1 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 1 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 1 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 3 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 1 0 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 5 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 1 | 19.04/5.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 19.04/5.11 Remains to prove termination of the 7-rule system 19.04/5.11 { 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.11 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.11 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.11 4 1 4 0 1 5 3 -> 4 0 0 2 4 5 1 2 1 2 , 19.04/5.11 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.11 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.11 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.11 19.04/5.11 19.04/5.11 The system was filtered by the following matrix interpretation 19.04/5.11 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.11 19.04/5.11 0 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 1 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 4 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 2 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 1 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 1 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 3 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 1 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 5 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 1 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 19.04/5.11 Remains to prove termination of the 6-rule system 19.04/5.11 { 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.11 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.11 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.11 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.11 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 , 19.04/5.11 2 5 2 5 3 2 ->= 2 5 5 4 3 3 2 0 0 3 } 19.04/5.11 19.04/5.11 19.04/5.11 The system was filtered by the following matrix interpretation 19.04/5.11 of type E_J with J = {1,...,2} and dimension 7: 19.04/5.11 19.04/5.11 0 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 4 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 2 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 1 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 1 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 3 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 1 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 5 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 | 19.04/5.11 | 0 0 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 1 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 19.04/5.11 Remains to prove termination of the 5-rule system 19.04/5.11 { 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.11 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.11 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.11 0 ->= 1 2 1 3 3 0 3 3 1 1 , 19.04/5.11 1 0 0 ->= 0 3 3 2 2 4 1 3 3 1 } 19.04/5.11 19.04/5.11 19.04/5.11 The system was filtered by the following matrix interpretation 19.04/5.11 of type E_J with J = {1,...,2} and dimension 2: 19.04/5.11 19.04/5.11 0 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 1 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 4 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 2 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 1 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 3 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 5 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 19.04/5.11 Remains to prove termination of the 4-rule system 19.04/5.11 { 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.11 3 5 2 5 3 -> 5 3 4 1 1 2 1 1 2 2 , 19.04/5.11 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.11 0 ->= 1 2 1 3 3 0 3 3 1 1 } 19.04/5.11 19.04/5.11 19.04/5.11 The system was filtered by the following matrix interpretation 19.04/5.11 of type E_J with J = {1,...,2} and dimension 6: 19.04/5.11 19.04/5.11 0 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 4 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 2 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 1 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 1 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 3 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 1 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 5 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 1 0 0 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 1 | 19.04/5.11 | 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 19.04/5.11 Remains to prove termination of the 3-rule system 19.04/5.11 { 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.11 2 2 5 3 2 2 5 -> 3 2 2 5 4 3 1 3 1 5 , 19.04/5.11 0 ->= 1 2 1 3 3 0 3 3 1 1 } 19.04/5.11 19.04/5.11 19.04/5.11 The system was filtered by the following matrix interpretation 19.04/5.11 of type E_J with J = {1,...,2} and dimension 8: 19.04/5.11 19.04/5.11 0 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 4 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 2 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 1 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 1 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 1 0 | 19.04/5.11 | 0 0 0 0 0 0 0 1 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 1 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 3 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 1 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 5 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 1 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 0 0 0 0 0 0 0 | 19.04/5.11 | 0 1 0 0 0 0 0 0 | 19.04/5.11 \ / 19.04/5.11 19.04/5.11 Remains to prove termination of the 2-rule system 19.04/5.11 { 1 4 2 4 0 -> 0 2 3 3 2 1 3 5 3 1 , 19.04/5.11 0 ->= 1 2 1 3 3 0 3 3 1 1 } 19.04/5.11 19.04/5.11 19.04/5.11 The system was filtered by the following matrix interpretation 19.04/5.11 of type E_J with J = {1,...,2} and dimension 2: 19.04/5.11 19.04/5.11 0 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 4 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 1 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 2 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 1 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 3 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 5 is interpreted by 19.04/5.11 / \ 19.04/5.11 | 1 0 | 19.04/5.11 | 0 1 | 19.04/5.11 \ / 19.04/5.11 19.04/5.11 Remains to prove termination of the 1-rule system 19.04/5.11 { 0 ->= 1 2 1 3 3 0 3 3 1 1 } 19.04/5.11 19.04/5.11 19.04/5.11 The system is trivially terminating. 19.11/5.14 EOF