111.29/28.37 YES 112.04/28.59 112.04/28.59 112.04/28.59 The system was filtered by the following matrix interpretation 112.04/28.59 of type E_J with J = {1,...,2} and dimension 12: 112.04/28.59 112.04/28.59 3 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 4 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 1 0 0 0 0 0 1 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 5 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 0 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 1 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.59 | 0 0 1 0 0 0 0 0 1 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 2 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.59 | 0 0 1 0 0 0 0 0 1 0 0 0 | 112.04/28.59 \ / 112.04/28.59 112.04/28.59 Remains to prove termination of the 59-rule system 112.04/28.59 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.59 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.59 4 5 1 -> 0 3 0 3 5 0 5 0 5 4 , 112.04/28.59 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.59 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.59 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.59 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.59 3 4 5 1 4 -> 3 5 0 1 0 4 5 5 1 1 , 112.04/28.59 4 1 4 1 5 -> 5 5 5 3 1 4 0 4 1 5 , 112.04/28.59 4 5 1 2 2 -> 3 1 5 4 0 0 0 2 3 4 , 112.04/28.59 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.59 0 1 4 1 2 2 -> 0 0 4 2 0 5 5 5 5 4 , 112.04/28.59 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.59 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.59 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.59 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.59 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.59 2 1 2 4 5 2 -> 0 5 5 1 4 3 1 2 2 2 , 112.04/28.59 2 4 5 2 3 2 -> 2 0 4 3 5 2 0 2 3 3 , 112.04/28.59 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.59 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.59 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.59 4 5 4 5 2 5 -> 0 5 0 0 3 3 1 5 4 3 , 112.04/28.59 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.59 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.59 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.59 0 2 4 1 4 1 5 -> 0 4 1 1 2 0 0 5 5 2 , 112.04/28.59 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.59 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.59 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.59 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.59 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.59 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.59 4 1 0 1 2 4 5 -> 5 5 4 2 3 4 3 5 4 5 , 112.04/28.59 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.59 4 2 3 1 4 5 1 -> 0 4 1 0 5 1 2 1 4 1 , 112.04/28.59 4 2 4 5 2 5 4 -> 0 3 3 5 4 2 2 3 2 0 , 112.04/28.59 4 4 1 2 4 2 2 -> 0 3 3 3 0 3 1 5 4 0 , 112.04/28.59 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.59 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.59 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.59 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.59 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.59 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.59 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.59 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.59 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.59 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.59 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.59 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.59 4 1 2 5 ->= 4 2 4 0 5 1 4 3 1 2 , 112.04/28.59 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.59 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.59 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.59 1 4 1 2 5 3 ->= 1 5 5 3 1 3 2 3 3 5 , 112.04/28.59 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.59 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.59 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.59 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.59 112.04/28.59 112.04/28.59 The system was filtered by the following matrix interpretation 112.04/28.59 of type E_J with J = {1,...,2} and dimension 9: 112.04/28.59 112.04/28.59 3 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 1 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 4 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 1 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 1 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 5 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 1 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 1 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 0 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 1 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 1 0 0 0 0 | 112.04/28.59 | 0 0 1 0 1 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 1 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 2 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 1 1 0 0 | 112.04/28.59 | 0 1 1 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 112.04/28.59 Remains to prove termination of the 57-rule system 112.04/28.59 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.59 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.59 4 5 1 -> 0 3 0 3 5 0 5 0 5 4 , 112.04/28.59 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.59 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.59 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.59 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.59 3 4 5 1 4 -> 3 5 0 1 0 4 5 5 1 1 , 112.04/28.59 4 1 4 1 5 -> 5 5 5 3 1 4 0 4 1 5 , 112.04/28.59 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.59 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.59 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.59 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.59 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.59 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.59 2 1 2 4 5 2 -> 0 5 5 1 4 3 1 2 2 2 , 112.04/28.59 2 4 5 2 3 2 -> 2 0 4 3 5 2 0 2 3 3 , 112.04/28.59 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.59 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.59 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.59 4 5 4 5 2 5 -> 0 5 0 0 3 3 1 5 4 3 , 112.04/28.59 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.59 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.59 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.59 0 2 4 1 4 1 5 -> 0 4 1 1 2 0 0 5 5 2 , 112.04/28.59 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.59 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.59 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.59 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.59 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.59 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.59 4 1 0 1 2 4 5 -> 5 5 4 2 3 4 3 5 4 5 , 112.04/28.59 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.59 4 2 3 1 4 5 1 -> 0 4 1 0 5 1 2 1 4 1 , 112.04/28.59 4 2 4 5 2 5 4 -> 0 3 3 5 4 2 2 3 2 0 , 112.04/28.59 4 4 1 2 4 2 2 -> 0 3 3 3 0 3 1 5 4 0 , 112.04/28.59 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.59 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.59 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.59 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.59 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.59 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.59 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.59 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.59 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.59 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.59 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.59 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.59 4 1 2 5 ->= 4 2 4 0 5 1 4 3 1 2 , 112.04/28.59 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.59 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.59 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.59 1 4 1 2 5 3 ->= 1 5 5 3 1 3 2 3 3 5 , 112.04/28.59 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.59 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.59 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.59 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.59 112.04/28.59 112.04/28.59 The system was filtered by the following matrix interpretation 112.04/28.59 of type E_J with J = {1,...,2} and dimension 13: 112.04/28.59 112.04/28.59 3 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 4 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 1 0 0 0 0 0 0 0 0 1 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 5 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 0 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 1 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 1 0 0 0 0 0 0 0 0 1 0 | 112.04/28.59 \ / 112.04/28.59 2 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 1 1 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 112.04/28.59 Remains to prove termination of the 56-rule system 112.04/28.59 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.59 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.59 4 5 1 -> 0 3 0 3 5 0 5 0 5 4 , 112.04/28.59 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.59 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.59 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.59 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.59 3 4 5 1 4 -> 3 5 0 1 0 4 5 5 1 1 , 112.04/28.59 4 1 4 1 5 -> 5 5 5 3 1 4 0 4 1 5 , 112.04/28.59 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.59 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.59 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.59 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.59 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.59 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.59 2 1 2 4 5 2 -> 0 5 5 1 4 3 1 2 2 2 , 112.04/28.59 2 4 5 2 3 2 -> 2 0 4 3 5 2 0 2 3 3 , 112.04/28.59 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.59 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.59 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.59 4 5 4 5 2 5 -> 0 5 0 0 3 3 1 5 4 3 , 112.04/28.59 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.59 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.59 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.59 0 2 4 1 4 1 5 -> 0 4 1 1 2 0 0 5 5 2 , 112.04/28.59 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.59 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.59 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.59 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.59 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.59 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.59 4 1 0 1 2 4 5 -> 5 5 4 2 3 4 3 5 4 5 , 112.04/28.59 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.59 4 2 3 1 4 5 1 -> 0 4 1 0 5 1 2 1 4 1 , 112.04/28.59 4 2 4 5 2 5 4 -> 0 3 3 5 4 2 2 3 2 0 , 112.04/28.59 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.59 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.59 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.59 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.59 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.59 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.59 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.59 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.59 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.59 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.59 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.59 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.59 4 1 2 5 ->= 4 2 4 0 5 1 4 3 1 2 , 112.04/28.59 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.59 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.59 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.59 1 4 1 2 5 3 ->= 1 5 5 3 1 3 2 3 3 5 , 112.04/28.59 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.59 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.59 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.59 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.59 112.04/28.59 112.04/28.59 The system was filtered by the following matrix interpretation 112.04/28.59 of type E_J with J = {1,...,2} and dimension 17: 112.04/28.59 112.04/28.59 3 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 4 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 5 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 0 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 1 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 2 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 112.04/28.59 Remains to prove termination of the 55-rule system 112.04/28.59 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.59 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.59 4 5 1 -> 0 3 0 3 5 0 5 0 5 4 , 112.04/28.59 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.59 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.59 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.59 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.59 3 4 5 1 4 -> 3 5 0 1 0 4 5 5 1 1 , 112.04/28.59 4 1 4 1 5 -> 5 5 5 3 1 4 0 4 1 5 , 112.04/28.59 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.59 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.59 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.59 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.59 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.59 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.59 2 1 2 4 5 2 -> 0 5 5 1 4 3 1 2 2 2 , 112.04/28.59 2 4 5 2 3 2 -> 2 0 4 3 5 2 0 2 3 3 , 112.04/28.59 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.59 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.59 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.59 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.59 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.59 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.59 0 2 4 1 4 1 5 -> 0 4 1 1 2 0 0 5 5 2 , 112.04/28.59 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.59 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.59 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.59 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.59 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.59 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.59 4 1 0 1 2 4 5 -> 5 5 4 2 3 4 3 5 4 5 , 112.04/28.59 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.59 4 2 3 1 4 5 1 -> 0 4 1 0 5 1 2 1 4 1 , 112.04/28.59 4 2 4 5 2 5 4 -> 0 3 3 5 4 2 2 3 2 0 , 112.04/28.59 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.59 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.59 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.59 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.59 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.59 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.59 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.59 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.59 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.59 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.59 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.59 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.59 4 1 2 5 ->= 4 2 4 0 5 1 4 3 1 2 , 112.04/28.59 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.59 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.59 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.59 1 4 1 2 5 3 ->= 1 5 5 3 1 3 2 3 3 5 , 112.04/28.59 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.59 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.59 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.59 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.59 112.04/28.59 112.04/28.59 The system was filtered by the following matrix interpretation 112.04/28.59 of type E_J with J = {1,...,2} and dimension 19: 112.04/28.59 112.04/28.59 3 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 4 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 5 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 0 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 1 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 2 is interpreted by 112.04/28.59 / \ 112.04/28.59 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 | 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.59 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.59 \ / 112.04/28.59 112.04/28.59 Remains to prove termination of the 52-rule system 112.04/28.59 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.59 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.59 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.59 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.59 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.59 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.59 4 1 4 1 5 -> 5 5 5 3 1 4 0 4 1 5 , 112.04/28.59 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.59 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.59 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.59 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.59 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.59 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.59 2 1 2 4 5 2 -> 0 5 5 1 4 3 1 2 2 2 , 112.04/28.59 2 4 5 2 3 2 -> 2 0 4 3 5 2 0 2 3 3 , 112.04/28.59 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.59 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.59 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.59 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.59 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.59 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.59 0 2 4 1 4 1 5 -> 0 4 1 1 2 0 0 5 5 2 , 112.04/28.59 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.59 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.59 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.59 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.59 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.59 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.59 4 1 0 1 2 4 5 -> 5 5 4 2 3 4 3 5 4 5 , 112.04/28.59 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.59 4 2 4 5 2 5 4 -> 0 3 3 5 4 2 2 3 2 0 , 112.04/28.59 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.59 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.59 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.59 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.59 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.59 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.59 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.59 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 1 2 5 ->= 4 2 4 0 5 1 4 3 1 2 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 1 4 1 2 5 3 ->= 1 5 5 3 1 3 2 3 3 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 10: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 1 0 0 0 1 0 1 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 0 1 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 50-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 4 1 4 1 5 -> 5 5 5 3 1 4 0 4 1 5 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 2 4 5 2 3 2 -> 2 0 4 3 5 2 0 2 3 3 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 0 2 4 1 4 1 5 -> 0 4 1 1 2 0 0 5 5 2 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 4 1 0 1 2 4 5 -> 5 5 4 2 3 4 3 5 4 5 , 112.04/28.60 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.60 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 1 2 5 ->= 4 2 4 0 5 1 4 3 1 2 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 1 4 1 2 5 3 ->= 1 5 5 3 1 3 2 3 3 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 15: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 49-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 4 1 4 1 5 -> 5 5 5 3 1 4 0 4 1 5 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 0 2 4 1 4 1 5 -> 0 4 1 1 2 0 0 5 5 2 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 4 1 0 1 2 4 5 -> 5 5 4 2 3 4 3 5 4 5 , 112.04/28.60 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.60 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 1 2 5 ->= 4 2 4 0 5 1 4 3 1 2 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 1 4 1 2 5 3 ->= 1 5 5 3 1 3 2 3 3 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 17: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 48-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 4 1 4 1 5 -> 5 5 5 3 1 4 0 4 1 5 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 0 2 4 1 4 1 5 -> 0 4 1 1 2 0 0 5 5 2 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.60 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 1 2 5 ->= 4 2 4 0 5 1 4 3 1 2 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 1 4 1 2 5 3 ->= 1 5 5 3 1 3 2 3 3 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 11: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 44-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.60 4 4 4 2 3 2 5 -> 0 1 3 4 0 4 1 5 0 5 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 13: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 43-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 4 2 2 2 2 5 2 -> 4 3 3 0 2 4 1 0 5 1 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 8: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 1 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 1 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 42-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 1 4 0 1 2 4 1 -> 1 0 5 3 4 0 2 3 0 2 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 8: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 41-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 4 2 4 4 2 ->= 3 5 4 4 0 0 5 2 5 0 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 11: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 40-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 , 112.04/28.60 4 2 2 1 1 4 2 ->= 3 4 4 4 5 0 2 5 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 13: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 39-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 4 4 1 4 1 0 -> 0 2 0 0 2 5 4 3 1 0 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 7: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 38-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 3 4 1 4 5 2 -> 5 3 5 5 5 5 0 3 1 3 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 5 4 1 4 5 2 ->= 5 0 0 3 1 1 1 0 2 0 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 7: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 36-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 4 1 5 1 5 -> 2 2 0 4 4 0 4 0 2 5 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 17: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 35-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 2 2 5 2 5 -> 5 5 4 1 3 1 4 0 5 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 18: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 34-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 2 5 2 5 ->= 0 5 2 0 3 3 0 4 1 3 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 17: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 4 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 5 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 0 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 1 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 2 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 \ / 112.04/28.60 112.04/28.60 Remains to prove termination of the 33-rule system 112.04/28.60 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.60 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.60 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.60 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.60 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.60 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.60 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.60 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.60 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.60 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.60 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.60 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.60 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.60 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.60 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.60 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.60 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.60 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.60 2 5 5 3 1 4 5 -> 2 3 0 4 0 0 0 1 0 2 , 112.04/28.60 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.60 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.60 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.60 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.60 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.60 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.60 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.60 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.60 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.60 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.60 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.60 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.60 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.60 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.60 112.04/28.60 112.04/28.60 The system was filtered by the following matrix interpretation 112.04/28.60 of type E_J with J = {1,...,2} and dimension 19: 112.04/28.60 112.04/28.60 3 is interpreted by 112.04/28.60 / \ 112.04/28.60 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 32-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.61 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 2 1 5 2 3 2 2 -> 2 1 5 3 3 1 2 5 5 5 , 112.04/28.61 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.61 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.61 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.61 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.61 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 8: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 31-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.61 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 2 4 2 0 0 4 5 -> 3 5 5 1 3 4 5 3 2 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.61 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.61 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.61 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.61 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 13: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 30-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.61 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.61 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.61 2 1 4 2 ->= 2 2 0 5 4 3 4 0 0 2 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.61 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.61 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 9: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 29-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.61 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.61 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.61 2 3 5 0 2 2 ->= 2 0 5 0 0 1 3 5 5 2 , 112.04/28.61 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 7: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 28-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 4 2 0 -> 3 1 3 0 1 0 3 0 3 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.61 3 2 2 0 2 -> 4 2 1 3 5 3 5 5 4 3 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 4 2 0 1 5 4 -> 0 1 5 1 1 0 3 4 1 1 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 4 2 4 ->= 0 0 0 4 0 5 5 5 1 0 , 112.04/28.61 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.61 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 19: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 24-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 2 2 2 5 0 -> 2 3 3 3 0 2 3 5 0 5 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.61 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 6: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 23-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 1 1 4 5 ->= 1 1 4 0 3 0 0 4 0 3 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.61 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 10: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 22-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 , 112.04/28.61 2 5 0 1 4 1 3 ->= 2 3 0 0 5 4 2 2 5 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 10: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 21-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 2 2 2 2 -> 0 0 3 1 0 5 2 5 4 2 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 2 ->= 3 4 0 5 4 4 0 4 3 2 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 4: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 | 112.04/28.61 | 0 1 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 | 112.04/28.61 | 0 1 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 | 112.04/28.61 | 0 1 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 | 112.04/28.61 | 0 1 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 | 112.04/28.61 | 0 1 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 | 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 | 112.04/28.61 | 0 1 0 0 | 112.04/28.61 | 0 0 0 1 | 112.04/28.61 | 0 1 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 19-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 5 4 5 2 2 -> 5 1 2 5 5 3 4 0 0 1 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 6: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 | 112.04/28.61 | 0 1 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 18-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 0 0 4 5 4 2 -> 5 1 3 5 3 3 2 0 4 2 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 8: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 1 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 17-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 4 2 5 0 ->= 4 3 3 5 5 3 2 0 0 3 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 5: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 | 112.04/28.61 | 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 | 112.04/28.61 | 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 16-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 5 4 5 0 3 2 -> 5 5 1 1 3 5 1 1 5 2 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 12: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 15-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 1 1 5 2 3 4 5 -> 4 3 1 0 2 1 1 1 4 0 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 8: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 14-rule system 112.04/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.04/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.04/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.04/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.04/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.04/28.61 1 3 2 4 5 4 -> 1 2 0 5 4 2 1 1 0 4 , 112.04/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.04/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.04/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.04/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.04/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.04/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.04/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.04/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.04/28.61 112.04/28.61 112.04/28.61 The system was filtered by the following matrix interpretation 112.04/28.61 of type E_J with J = {1,...,2} and dimension 7: 112.04/28.61 112.04/28.61 3 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 1 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 4 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 1 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 5 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 1 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 0 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 1 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 1 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 2 is interpreted by 112.04/28.61 / \ 112.04/28.61 | 1 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 1 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 0 0 0 0 0 0 | 112.04/28.61 | 0 1 0 0 0 0 0 | 112.04/28.61 \ / 112.04/28.61 112.04/28.61 Remains to prove termination of the 13-rule system 112.22/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.22/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.22/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.22/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.22/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.22/28.61 5 2 5 1 5 1 -> 5 0 4 3 1 0 4 5 0 5 , 112.22/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.22/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.22/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.61 112.22/28.61 112.22/28.61 The system was filtered by the following matrix interpretation 112.22/28.61 of type E_J with J = {1,...,2} and dimension 7: 112.22/28.61 112.22/28.61 3 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 4 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 5 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 1 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 1 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 0 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 1 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 1 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 2 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 1 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 112.22/28.61 Remains to prove termination of the 12-rule system 112.22/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.22/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.22/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.22/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.22/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.22/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.22/28.61 5 4 5 2 0 4 5 -> 5 0 0 1 1 1 3 4 1 5 , 112.22/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.61 112.22/28.61 112.22/28.61 The system was filtered by the following matrix interpretation 112.22/28.61 of type E_J with J = {1,...,2} and dimension 8: 112.22/28.61 112.22/28.61 3 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 4 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 1 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 1 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 5 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 1 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 0 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 1 0 | 112.22/28.61 | 0 1 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 1 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 2 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 1 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 112.22/28.61 Remains to prove termination of the 11-rule system 112.22/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.22/28.61 0 1 5 1 4 1 -> 4 5 5 5 4 5 4 0 0 0 , 112.22/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.22/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.22/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.22/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.22/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.61 112.22/28.61 112.22/28.61 The system was filtered by the following matrix interpretation 112.22/28.61 of type E_J with J = {1,...,2} and dimension 7: 112.22/28.61 112.22/28.61 3 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 4 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 1 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 5 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 1 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 0 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 1 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 1 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 1 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 2 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 112.22/28.61 Remains to prove termination of the 10-rule system 112.22/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.22/28.61 0 2 1 5 0 2 -> 3 3 5 5 5 0 1 3 3 2 , 112.22/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.22/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.22/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.22/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.61 112.22/28.61 112.22/28.61 The system was filtered by the following matrix interpretation 112.22/28.61 of type E_J with J = {1,...,2} and dimension 7: 112.22/28.61 112.22/28.61 3 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 4 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 5 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 1 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 0 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 1 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 1 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 1 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 2 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 1 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 112.22/28.61 Remains to prove termination of the 9-rule system 112.22/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.22/28.61 0 2 2 1 5 2 -> 0 5 0 0 2 1 2 5 3 3 , 112.22/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.22/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.22/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.61 112.22/28.61 112.22/28.61 The system was filtered by the following matrix interpretation 112.22/28.61 of type E_J with J = {1,...,2} and dimension 7: 112.22/28.61 112.22/28.61 3 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 4 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 5 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 1 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 0 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 1 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 1 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 2 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 1 0 0 0 | 112.22/28.61 | 0 0 0 0 1 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 112.22/28.61 Remains to prove termination of the 8-rule system 112.22/28.61 { 3 4 5 -> 3 5 0 3 1 0 3 0 4 0 , 112.22/28.61 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.22/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.22/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.61 112.22/28.61 112.22/28.61 The system was filtered by the following matrix interpretation 112.22/28.61 of type E_J with J = {1,...,2} and dimension 4: 112.22/28.61 112.22/28.61 3 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 | 112.22/28.61 | 0 1 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 4 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 | 112.22/28.61 | 0 1 0 0 | 112.22/28.61 | 0 0 0 1 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 5 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 | 112.22/28.61 | 0 1 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 | 0 1 0 0 | 112.22/28.61 \ / 112.22/28.61 0 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 | 112.22/28.61 | 0 1 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 1 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 | 112.22/28.61 | 0 1 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 2 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 1 0 | 112.22/28.61 | 0 1 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 | 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 112.22/28.61 Remains to prove termination of the 7-rule system 112.22/28.61 { 0 4 5 4 4 1 -> 3 2 0 4 5 5 2 0 5 3 , 112.22/28.61 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.22/28.61 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.61 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.61 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.61 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.61 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.61 112.22/28.61 112.22/28.61 The system was filtered by the following matrix interpretation 112.22/28.61 of type E_J with J = {1,...,2} and dimension 7: 112.22/28.61 112.22/28.61 3 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 4 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.61 | 0 0 0 1 0 0 0 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 | 0 0 0 0 0 1 0 | 112.22/28.61 | 0 0 0 0 0 0 1 | 112.22/28.61 | 0 0 0 0 0 0 0 | 112.22/28.61 \ / 112.22/28.61 5 is interpreted by 112.22/28.61 / \ 112.22/28.61 | 1 0 0 0 0 0 0 | 112.22/28.61 | 0 1 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 1 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 0 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 1 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 1 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 1 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 2 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 112.22/28.62 Remains to prove termination of the 6-rule system 112.22/28.62 { 0 2 3 4 4 1 3 -> 0 3 1 1 3 0 4 1 3 3 , 112.22/28.62 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.62 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.62 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.62 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.62 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.62 112.22/28.62 112.22/28.62 The system was filtered by the following matrix interpretation 112.22/28.62 of type E_J with J = {1,...,2} and dimension 8: 112.22/28.62 112.22/28.62 3 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 0 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 1 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 4 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 0 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 1 0 0 | 112.22/28.62 | 0 0 0 0 0 0 1 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 5 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 0 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 0 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 1 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 1 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 1 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 1 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 2 is interpreted by 112.22/28.62 / \ 112.22/28.62 | 1 0 0 0 0 0 0 0 | 112.22/28.62 | 0 1 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 1 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 | 0 0 0 0 0 0 0 0 | 112.22/28.62 \ / 112.22/28.62 112.22/28.62 Remains to prove termination of the 5-rule system 112.22/28.62 { 0 1 ->= 0 1 2 3 4 0 4 1 0 0 , 112.22/28.62 0 2 ->= 4 0 0 1 0 3 5 3 0 3 , 112.22/28.62 1 3 ->= 1 3 5 4 0 4 2 5 1 3 , 112.22/28.62 0 1 5 ->= 0 4 3 3 3 5 1 3 1 5 , 112.22/28.62 0 1 4 4 1 1 ->= 0 5 2 4 0 1 0 3 0 5 } 112.22/28.62 112.22/28.62 112.22/28.62 The system is trivially terminating. 131.35/46.02 EOF