54.90/14.16 YES 55.50/14.31 55.50/14.31 55.50/14.31 The system was filtered by the following matrix interpretation 55.50/14.31 of type E_J with J = {1,...,2} and dimension 6: 55.50/14.31 55.50/14.31 0 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 0 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 | 55.50/14.31 | 0 0 0 1 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 | 55.50/14.31 \ / 55.50/14.31 1 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 1 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 1 0 | 55.50/14.31 | 0 0 0 0 0 1 | 55.50/14.31 | 0 1 0 0 0 0 | 55.50/14.31 \ / 55.50/14.31 2 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 0 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 \ / 55.50/14.31 3 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 0 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 \ / 55.50/14.31 4 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 1 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 \ / 55.50/14.31 5 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 0 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 1 | 55.50/14.31 \ / 55.50/14.31 55.50/14.31 Remains to prove termination of the 59-rule system 55.50/14.31 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.31 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.31 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.31 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.31 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.31 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.31 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.31 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.31 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.31 1 1 1 1 1 -> 1 5 1 1 4 4 2 3 4 1 , 55.50/14.31 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.31 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.31 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.31 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.31 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.31 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.31 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.31 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.31 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 55.50/14.31 1 1 5 1 1 1 -> 3 5 2 2 1 3 2 3 1 5 , 55.50/14.31 1 1 5 1 3 0 -> 1 5 0 2 3 2 2 3 3 2 , 55.50/14.31 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.31 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.31 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.31 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.31 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.31 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.31 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.31 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.31 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.31 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.31 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.31 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.31 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.31 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.31 1 0 2 0 5 1 1 -> 2 2 1 3 4 3 5 0 1 5 , 55.50/14.31 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.31 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 55.50/14.31 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 55.50/14.31 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.31 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.31 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.31 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.31 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.31 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.31 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.31 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.31 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.31 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.31 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.31 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.31 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.31 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.31 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.31 4 4 2 5 3 0 ->= 3 4 4 5 1 5 2 2 5 3 , 55.50/14.31 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.31 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.31 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.31 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.31 55.50/14.31 55.50/14.31 The system was filtered by the following matrix interpretation 55.50/14.31 of type E_J with J = {1,...,2} and dimension 9: 55.50/14.31 55.50/14.31 0 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 0 0 0 0 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 1 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.31 \ / 55.50/14.31 1 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 1 0 0 0 1 0 0 | 55.50/14.31 | 0 1 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 1 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 1 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 1 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 1 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.31 \ / 55.50/14.31 2 is interpreted by 55.50/14.31 / \ 55.50/14.31 | 1 0 0 0 0 0 0 0 0 | 55.50/14.31 | 0 1 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.31 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 1 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 58-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 55.50/14.32 1 1 5 1 1 1 -> 3 5 2 2 1 3 2 3 1 5 , 55.50/14.32 1 1 5 1 3 0 -> 1 5 0 2 3 2 2 3 3 2 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 0 2 0 5 1 1 -> 2 2 1 3 4 3 5 0 1 5 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 55.50/14.32 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 4 4 2 5 3 0 ->= 3 4 4 5 1 5 2 2 5 3 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 10: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 1 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 1 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 57-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 55.50/14.32 1 1 5 1 3 0 -> 1 5 0 2 3 2 2 3 3 2 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 0 2 0 5 1 1 -> 2 2 1 3 4 3 5 0 1 5 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 55.50/14.32 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 4 4 2 5 3 0 ->= 3 4 4 5 1 5 2 2 5 3 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 10: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 1 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 1 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 56-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 0 2 0 5 1 1 -> 2 2 1 3 4 3 5 0 1 5 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 55.50/14.32 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 4 4 2 5 3 0 ->= 3 4 4 5 1 5 2 2 5 3 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 8: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 55-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 1 4 4 3 1 1 1 -> 1 4 3 5 4 4 1 2 4 1 , 55.50/14.32 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 4 4 2 5 3 0 ->= 3 4 4 5 1 5 2 2 5 3 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 17: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 54-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 4 4 2 5 3 0 ->= 3 4 4 5 1 5 2 2 5 3 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 16: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 53-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 1 0 0 0 0 -> 1 1 3 3 1 0 5 2 3 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 7: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 1 | 55.50/14.32 | 0 1 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 | 55.50/14.32 | 0 1 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 1 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 52-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 2 0 0 3 0 3 0 -> 2 4 0 2 3 1 5 5 5 3 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 14: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 51-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 0 2 5 1 1 -> 3 2 2 4 1 2 3 5 4 1 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 8: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 1 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 50-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 0 1 0 -> 0 1 2 3 1 1 4 5 1 0 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 10: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 1 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 1 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 49-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 0 0 4 0 5 -> 5 4 4 2 0 3 3 4 5 2 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 8: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 1 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 1 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 48-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 3 5 1 0 4 0 -> 1 4 1 5 0 5 2 5 3 0 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 14: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 47-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 1 0 1 4 1 ->= 1 4 4 5 4 4 4 1 3 1 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 10: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 46-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 0 2 0 4 5 -> 1 5 3 1 4 4 3 4 2 5 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 11: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 1 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 5 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 1 0 | 55.50/14.32 \ / 55.50/14.32 55.50/14.32 Remains to prove termination of the 45-rule system 55.50/14.32 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.32 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.32 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.32 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.32 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.32 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.32 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.32 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.32 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.32 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.32 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.32 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.32 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.32 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.32 0 4 5 3 1 1 -> 4 2 1 2 0 0 0 3 0 1 , 55.50/14.32 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.32 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.32 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.32 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.32 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.32 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.32 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.32 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.32 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.32 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.32 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.32 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.32 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.32 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.32 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.32 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.32 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.32 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.32 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.32 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.32 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.32 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.32 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.32 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.32 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.32 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.32 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.32 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.32 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.32 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.32 55.50/14.32 55.50/14.32 The system was filtered by the following matrix interpretation 55.50/14.32 of type E_J with J = {1,...,2} and dimension 13: 55.50/14.32 55.50/14.32 0 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 1 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 2 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 3 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.32 \ / 55.50/14.32 4 is interpreted by 55.50/14.32 / \ 55.50/14.32 | 1 0 1 0 0 0 0 1 0 0 0 0 0 | 55.50/14.32 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 1 0 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 44-rule system 55.50/14.33 { 0 1 1 -> 0 2 0 2 1 3 2 1 3 1 , 55.50/14.33 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.33 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.33 0 1 0 0 -> 2 3 4 3 3 2 0 0 1 2 , 55.50/14.33 5 0 1 1 -> 4 5 5 0 1 3 1 2 5 1 , 55.50/14.33 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.33 0 1 1 4 5 -> 1 4 1 2 5 0 3 0 2 5 , 55.50/14.33 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.33 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.33 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.33 0 0 1 0 4 1 -> 0 2 0 1 5 5 3 0 3 1 , 55.50/14.33 0 1 1 4 2 2 -> 4 3 2 4 2 3 3 4 3 5 , 55.50/14.33 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.33 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.33 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.33 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.33 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.33 5 0 1 1 3 0 -> 0 1 2 0 1 5 4 2 3 3 , 55.50/14.33 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.33 0 1 0 2 0 2 0 -> 3 5 3 2 3 3 4 0 1 3 , 55.50/14.33 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.33 0 4 1 0 1 1 4 -> 0 0 3 5 5 1 5 3 2 4 , 55.50/14.33 1 0 1 0 0 5 4 -> 2 0 0 1 5 4 4 3 3 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.33 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.33 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.33 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 , 55.50/14.33 2 1 0 1 3 2 2 ->= 2 1 3 3 3 3 3 4 0 0 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 8: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 1 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 1 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 1 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 1 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 33-rule system 55.50/14.33 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.33 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.33 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.33 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.33 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.33 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.33 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.33 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.33 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.33 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.33 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.33 0 0 5 0 0 2 0 -> 2 4 2 0 3 3 1 0 1 3 , 55.50/14.33 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.33 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.33 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.33 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 8: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 1 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 32-rule system 55.50/14.33 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.33 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.33 0 0 0 0 0 -> 1 3 2 3 3 5 2 5 4 3 , 55.50/14.33 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.33 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.33 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.33 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.33 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.33 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.33 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.33 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.33 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.33 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.33 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.33 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 6: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 1 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 31-rule system 55.50/14.33 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.33 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.33 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.33 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.33 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.33 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.33 1 5 1 0 0 0 -> 0 1 5 2 1 2 0 5 1 3 , 55.50/14.33 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.33 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.33 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.33 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.33 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.33 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.33 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 7: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 1 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 1 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 30-rule system 55.50/14.33 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.33 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.33 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.33 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.33 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.33 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.33 1 5 4 0 4 5 -> 1 2 5 1 3 0 4 2 3 5 , 55.50/14.33 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.33 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.33 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.33 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.33 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.33 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 13: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 29-rule system 55.50/14.33 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.33 4 1 1 -> 3 2 5 5 4 2 1 5 3 4 , 55.50/14.33 0 4 0 4 4 -> 4 2 1 3 0 2 4 2 2 4 , 55.50/14.33 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 0 1 4 -> 5 2 5 1 1 2 3 1 5 3 , 55.50/14.33 5 4 0 0 1 -> 4 0 4 2 1 3 0 3 1 5 , 55.50/14.33 1 0 2 0 4 3 -> 1 2 5 3 0 2 4 5 5 3 , 55.50/14.33 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.33 3 4 1 2 0 0 -> 3 3 1 5 5 2 2 3 5 3 , 55.50/14.33 0 3 4 1 1 0 4 -> 3 3 1 4 4 2 0 5 5 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 3 0 3 1 1 1 4 -> 4 2 2 1 2 3 3 5 0 4 , 55.50/14.33 3 0 4 1 0 0 1 -> 5 2 5 3 0 5 3 5 3 1 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 4 1 0 3 3 ->= 4 1 2 1 3 0 3 1 3 2 , 55.50/14.33 0 4 0 0 3 3 ->= 0 4 2 1 3 0 4 0 3 3 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 5 4 0 5 4 0 ->= 2 2 5 2 5 5 1 1 0 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 , 55.50/14.33 1 4 1 1 3 2 2 ->= 3 3 5 2 4 0 3 2 3 2 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 4: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 1 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 1 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 | 0 0 1 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 16-rule system 55.50/14.33 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.33 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 2 1 1 0 4 0 -> 2 1 0 4 0 3 2 2 3 3 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 7: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 15-rule system 55.50/14.33 { 0 1 4 -> 2 4 3 4 4 3 3 2 3 4 , 55.50/14.33 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 0 5 0 2 0 0 -> 5 3 0 4 4 1 4 4 3 3 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 5 5 3 0 5 1 4 -> 2 3 1 2 5 5 3 2 2 4 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 4: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 1 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 | 0 1 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 12-rule system 55.50/14.33 { 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 4 0 4 3 0 0 2 -> 2 3 4 1 1 2 3 1 3 2 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 8: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 1 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 11-rule system 55.50/14.33 { 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 1 1 1 2 2 0 2 -> 4 4 0 2 0 3 5 2 3 2 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 11: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 0 1 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 1 0 0 0 0 0 1 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 10-rule system 55.50/14.33 { 1 1 0 3 2 -> 4 2 4 2 2 4 0 1 3 2 , 55.50/14.33 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 6: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 9-rule system 55.50/14.33 { 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 2 1 1 5 1 4 ->= 2 1 1 2 2 3 1 3 5 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 7: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 | 55.50/14.33 | 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 8-rule system 55.50/14.33 { 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 1 1 2 ->= 5 4 3 3 1 2 5 5 1 2 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 9: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 1 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 1 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 1 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 7-rule system 55.50/14.33 { 3 1 4 5 4 -> 3 0 2 2 2 3 3 3 3 4 , 55.50/14.33 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 9: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 1 0 0 1 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 1 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 0 1 0 0 | 55.50/14.33 | 0 1 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 1 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 6-rule system 55.50/14.33 { 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 3 1 0 1 ->= 3 1 3 2 4 5 3 4 4 1 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 , 55.50/14.33 3 5 0 3 1 ->= 3 2 2 2 5 5 1 2 2 5 , 55.50/14.33 1 1 4 4 0 3 4 ->= 1 3 5 2 5 4 3 4 1 4 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 2: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 1 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 3-rule system 55.50/14.33 { 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 , 55.50/14.33 5 5 1 4 ->= 5 1 5 2 5 4 2 5 1 3 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 5: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 1 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 | 0 1 0 0 0 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 1 0 0 | 55.50/14.33 | 0 1 0 0 0 | 55.50/14.33 | 0 0 0 1 0 | 55.50/14.33 | 0 1 0 0 0 | 55.50/14.33 | 0 0 0 0 0 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 2-rule system 55.50/14.33 { 5 1 1 3 5 2 0 -> 1 4 4 3 4 3 3 5 5 0 , 55.50/14.33 1 1 0 4 ->= 0 4 3 3 3 4 5 5 4 1 } 55.50/14.33 55.50/14.33 55.50/14.33 The system was filtered by the following matrix interpretation 55.50/14.33 of type E_J with J = {1,...,2} and dimension 2: 55.50/14.33 55.50/14.33 0 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 1 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 1 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 2 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 3 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 4 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 5 is interpreted by 55.50/14.33 / \ 55.50/14.33 | 1 0 | 55.50/14.33 | 0 1 | 55.50/14.33 \ / 55.50/14.33 55.50/14.33 Remains to prove termination of the 0-rule system 55.50/14.33 { } 55.50/14.33 55.50/14.33 55.50/14.33 The system is trivially terminating. 89.81/44.97 EOF