18.37/4.94 YES 18.81/5.03 18.81/5.03 18.81/5.03 The system was filtered by the following matrix interpretation 18.81/5.03 of type E_J with J = {1,...,2} and dimension 14: 18.81/5.03 18.81/5.03 1 is interpreted by 18.81/5.03 / \ 18.81/5.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 \ / 18.81/5.03 5 is interpreted by 18.81/5.03 / \ 18.81/5.03 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 \ / 18.81/5.03 3 is interpreted by 18.81/5.03 / \ 18.81/5.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 \ / 18.81/5.03 0 is interpreted by 18.81/5.03 / \ 18.81/5.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 \ / 18.81/5.03 4 is interpreted by 18.81/5.03 / \ 18.81/5.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 \ / 18.81/5.03 2 is interpreted by 18.81/5.03 / \ 18.81/5.03 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.03 \ / 18.81/5.03 18.81/5.03 Remains to prove termination of the 59-rule system 18.81/5.03 { 1 5 1 -> 1 3 0 0 4 1 3 0 3 4 , 18.81/5.03 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.03 5 5 1 -> 5 2 3 3 1 5 2 3 0 4 , 18.81/5.03 5 5 5 -> 5 2 1 3 1 1 1 3 2 2 , 18.81/5.03 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.03 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.03 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.03 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.03 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.03 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.03 4 5 5 4 -> 4 4 4 4 0 1 3 2 1 3 , 18.81/5.03 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 18.81/5.03 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.03 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 18.81/5.03 1 0 5 5 5 -> 1 1 5 0 3 2 3 4 1 5 , 18.81/5.03 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.03 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.03 4 4 5 5 1 -> 0 2 2 3 3 4 4 3 5 1 , 18.81/5.03 4 5 5 1 2 -> 0 2 5 3 4 2 3 2 2 3 , 18.81/5.03 5 5 1 5 5 -> 5 0 3 1 1 0 0 4 3 2 , 18.81/5.03 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 18.81/5.03 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.03 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.03 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.03 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.03 0 4 4 5 5 1 -> 2 3 5 0 2 4 4 4 1 4 , 18.81/5.03 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.03 2 5 2 1 5 5 -> 2 3 3 2 5 1 3 3 3 3 , 18.81/5.03 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.03 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.03 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.03 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.03 5 4 4 2 5 1 -> 5 0 2 0 0 2 2 3 1 4 , 18.81/5.03 5 5 1 5 4 0 -> 5 5 0 2 4 5 3 0 2 0 , 18.81/5.03 5 5 5 5 5 4 -> 5 3 3 3 5 4 0 1 4 1 , 18.81/5.03 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.03 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.03 0 4 0 5 5 1 0 -> 5 4 2 3 0 4 3 5 0 0 , 18.81/5.03 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.03 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.03 0 5 5 1 0 3 1 -> 2 3 0 3 4 4 0 3 3 1 , 18.81/5.03 1 1 0 1 5 1 5 -> 1 1 1 1 4 5 0 2 1 5 , 18.81/5.03 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 18.81/5.03 1 5 0 5 3 0 5 -> 1 4 3 1 4 1 3 5 3 5 , 18.81/5.03 2 3 5 5 5 2 5 -> 2 3 2 5 0 0 0 2 4 0 , 18.81/5.03 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.03 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 1 5 5 1 0 4 -> 3 3 1 2 3 1 0 3 3 4 , 18.81/5.04 3 4 5 5 5 5 5 -> 3 1 1 5 2 2 4 5 3 5 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 18.81/5.04 4 5 4 0 1 0 5 -> 1 4 4 5 1 2 3 4 3 3 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 , 18.81/5.04 0 5 1 2 1 5 5 ->= 2 0 5 5 1 0 5 3 3 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 10: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 1 0 0 0 0 0 1 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 40-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 5 4 4 2 5 1 -> 5 0 2 0 0 2 2 3 1 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.04 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 18.81/5.04 4 5 4 0 1 0 5 -> 1 4 4 5 1 2 3 4 3 3 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 , 18.81/5.04 0 5 1 2 1 5 5 ->= 2 0 5 5 1 0 5 3 3 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 13: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 39-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.04 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 18.81/5.04 4 5 4 0 1 0 5 -> 1 4 4 5 1 2 3 4 3 3 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 , 18.81/5.04 0 5 1 2 1 5 5 ->= 2 0 5 5 1 0 5 3 3 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 8: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 38-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 5 5 3 2 1 -> 5 2 2 4 2 5 2 3 0 1 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.04 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 , 18.81/5.04 0 5 1 2 1 5 5 ->= 2 0 5 5 1 0 5 3 3 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 6: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 37-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.04 1 2 1 5 3 4 5 -> 1 5 0 3 5 3 3 0 0 3 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 , 18.81/5.04 0 5 1 2 1 5 5 ->= 2 0 5 5 1 0 5 3 3 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 8: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 36-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 1 0 1 2 1 -> 1 1 5 4 2 5 2 2 3 0 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 , 18.81/5.04 0 5 1 2 1 5 5 ->= 2 0 5 5 1 0 5 3 3 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 6: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 34-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 4 0 5 5 3 4 5 -> 4 0 2 3 4 1 0 0 5 5 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 8: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 33-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 5 5 4 0 -> 5 2 4 3 2 3 5 2 4 0 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 5: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 32-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 0 5 3 5 3 5 1 -> 0 1 4 1 3 1 2 5 1 1 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 8: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 31-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 1 0 -> 0 2 3 4 1 2 3 2 3 3 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 5 1 0 5 -> 3 4 3 3 5 2 2 3 5 2 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 1 0 4 0 -> 3 3 3 3 5 5 2 3 2 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 5: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 1 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 28-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 0 5 5 -> 0 4 3 2 2 2 3 1 2 3 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 5: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 1 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 27-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 0 5 1 4 5 -> 0 3 4 3 4 0 0 3 0 2 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 3 0 0 5 1 4 5 -> 3 0 0 3 0 3 1 0 4 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 7: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 1 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 1 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 25-rule system 18.81/5.04 { 3 1 5 -> 3 1 1 3 0 5 2 0 5 2 , 18.81/5.04 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 2 1 5 3 -> 2 1 3 1 4 3 2 3 0 0 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 0 4 4 0 1 5 -> 0 4 1 0 1 4 3 1 0 2 , 18.81/5.04 2 5 1 5 2 1 -> 4 2 2 3 1 3 5 0 4 1 , 18.81/5.04 2 5 5 3 1 5 -> 2 2 5 1 4 4 3 2 2 5 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 5 3 4 5 4 -> 3 5 3 0 1 0 1 4 3 4 , 18.81/5.04 0 3 4 4 5 4 5 -> 0 4 3 4 3 2 3 4 1 0 , 18.81/5.04 0 4 0 5 4 5 4 -> 2 5 4 3 4 4 3 0 0 4 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 3 5 4 5 2 5 3 -> 3 2 3 4 2 3 5 0 1 0 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 2 1 5 ->= 2 0 3 2 3 4 3 3 5 3 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 , 18.81/5.04 0 3 2 1 5 4 5 ->= 4 4 1 2 4 3 0 5 2 5 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 4: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 | 18.81/5.04 | 0 1 0 0 | 18.81/5.04 | 0 0 0 1 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 | 18.81/5.04 | 0 1 0 0 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 | 0 1 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 | 18.81/5.04 | 0 1 0 0 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 | 18.81/5.04 | 0 1 0 0 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 | 18.81/5.04 | 0 1 0 0 | 18.81/5.04 | 0 0 0 1 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 | 18.81/5.04 | 0 1 0 0 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 | 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 14-rule system 18.81/5.04 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 0 4 1 0 5 2 5 -> 2 3 3 0 0 5 1 3 2 5 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 8: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 13-rule system 18.81/5.04 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 0 0 5 1 ->= 0 4 1 3 3 4 1 0 2 1 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 5: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 12-rule system 18.81/5.04 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 0 3 5 5 4 -> 0 0 4 2 2 3 1 4 3 4 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 0 1 ->= 2 3 2 4 3 2 0 2 0 4 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 3: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 | 18.81/5.04 | 0 1 0 | 18.81/5.04 | 0 1 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 | 18.81/5.04 | 0 1 0 | 18.81/5.04 | 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 | 18.81/5.04 | 0 1 0 | 18.81/5.04 | 0 1 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 | 18.81/5.04 | 0 1 0 | 18.81/5.04 | 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 | 18.81/5.04 | 0 1 0 | 18.81/5.04 | 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 | 18.81/5.04 | 0 1 0 | 18.81/5.04 | 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 10-rule system 18.81/5.04 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 , 18.81/5.04 0 4 4 0 5 1 ->= 4 0 2 3 2 0 5 5 2 1 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 7: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 9-rule system 18.81/5.04 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 0 4 0 5 4 0 -> 4 3 5 0 4 3 4 4 1 3 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 7: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 8-rule system 18.81/5.04 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 0 4 0 5 1 2 -> 4 2 4 1 2 0 2 3 3 2 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 7: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 7-rule system 18.81/5.04 { 1 0 3 4 -> 1 1 0 2 0 1 1 3 4 1 , 18.81/5.04 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 5: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 6-rule system 18.81/5.04 { 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 4 2 1 2 -> 2 0 2 0 2 1 0 2 3 3 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 1 2 1 4 0 -> 3 3 5 1 1 2 0 2 3 0 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 5: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 4-rule system 18.81/5.04 { 3 0 5 5 -> 3 3 5 0 5 2 3 3 0 2 , 18.81/5.04 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 5: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 3-rule system 18.81/5.04 { 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 , 18.81/5.04 3 1 4 0 0 4 2 -> 3 3 0 2 1 4 5 3 2 2 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 2: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 1 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 1 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 2-rule system 18.81/5.04 { 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 , 18.81/5.04 3 0 5 4 4 2 1 -> 3 5 4 3 3 4 1 3 2 4 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 8: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 1 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 1 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 1 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 1 0 0 | 18.81/5.04 | 0 0 0 0 0 0 1 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 0 0 0 0 0 0 | 18.81/5.04 | 0 1 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 | 0 0 0 0 0 0 0 1 | 18.81/5.04 | 0 0 0 0 0 0 0 0 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 1-rule system 18.81/5.04 { 2 4 2 5 4 -> 2 0 4 2 5 2 2 3 3 1 } 18.81/5.04 18.81/5.04 18.81/5.04 The system was filtered by the following matrix interpretation 18.81/5.04 of type E_J with J = {1,...,2} and dimension 2: 18.81/5.04 18.81/5.04 1 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 5 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 3 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 0 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 4 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 1 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 2 is interpreted by 18.81/5.04 / \ 18.81/5.04 | 1 0 | 18.81/5.04 | 0 1 | 18.81/5.04 \ / 18.81/5.04 18.81/5.04 Remains to prove termination of the 0-rule system 18.81/5.04 { } 18.81/5.04 18.81/5.04 18.81/5.04 The system is trivially terminating. 18.91/5.11 EOF