39.41/10.22 YES 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 10: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 1 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 1 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 1 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 39.75/10.35 Remains to prove termination of the 56-rule system 39.75/10.35 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.35 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.35 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.35 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.35 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 39.75/10.35 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.35 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.35 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.35 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.35 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.35 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 39.75/10.35 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.35 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.35 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.35 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.35 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.35 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.35 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.35 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.35 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.35 0 0 0 1 4 0 4 -> 2 4 4 2 1 2 1 2 4 5 , 39.75/10.35 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.35 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.35 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.35 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.35 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 39.75/10.35 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 39.75/10.35 2 1 4 0 0 0 0 -> 2 1 4 0 2 1 1 3 1 4 , 39.75/10.35 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.35 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 39.75/10.35 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.35 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.35 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.35 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.35 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.35 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.35 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.35 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.35 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.35 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.35 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.35 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.35 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.35 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.35 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.35 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.35 0 0 0 4 2 5 ->= 1 5 2 4 5 4 1 4 4 5 , 39.75/10.35 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.35 1 2 5 1 3 0 ->= 2 3 0 5 1 0 3 1 3 0 , 39.75/10.35 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.35 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.35 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.35 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.35 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.35 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.35 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 | 39.75/10.35 \ / 39.75/10.35 1 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 39.75/10.35 Remains to prove termination of the 55-rule system 39.75/10.35 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.35 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.35 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.35 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.35 0 0 0 4 0 -> 1 4 3 0 5 5 5 5 1 2 , 39.75/10.35 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.35 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.35 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.35 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.35 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.35 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 39.75/10.35 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.35 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.35 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.35 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.35 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.35 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.35 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.35 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.35 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.35 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.35 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.35 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.35 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.35 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 39.75/10.35 2 0 0 4 0 0 3 -> 1 1 1 1 0 0 5 4 2 3 , 39.75/10.35 2 1 4 0 0 0 0 -> 2 1 4 0 2 1 1 3 1 4 , 39.75/10.35 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.35 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 39.75/10.35 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.35 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.35 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.35 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.35 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.35 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.35 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.35 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.35 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.35 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.35 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.35 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.35 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.35 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.35 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.35 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.35 0 0 0 4 2 5 ->= 1 5 2 4 5 4 1 4 4 5 , 39.75/10.35 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.35 1 2 5 1 3 0 ->= 2 3 0 5 1 0 3 1 3 0 , 39.75/10.35 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.35 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.35 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.35 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.35 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.35 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.35 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 6: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 1 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 1 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 39.75/10.35 Remains to prove termination of the 53-rule system 39.75/10.35 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.35 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.35 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.35 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.35 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.35 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.35 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.35 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.35 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.35 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 39.75/10.35 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.35 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.35 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.35 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.35 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.35 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.35 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.35 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.35 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.35 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.35 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.35 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.35 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.35 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 39.75/10.35 2 1 4 0 0 0 0 -> 2 1 4 0 2 1 1 3 1 4 , 39.75/10.35 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.35 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 39.75/10.35 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.35 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.35 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.35 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.35 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.35 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.35 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.35 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.35 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.35 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.35 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.35 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.35 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.35 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.35 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.35 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.35 0 0 0 4 2 5 ->= 1 5 2 4 5 4 1 4 4 5 , 39.75/10.35 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.35 1 2 5 1 3 0 ->= 2 3 0 5 1 0 3 1 3 0 , 39.75/10.35 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.35 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.35 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.35 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.35 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.35 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.35 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 1 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 39.75/10.35 Remains to prove termination of the 52-rule system 39.75/10.35 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.35 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.35 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.35 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.35 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.35 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.35 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.35 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.35 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.35 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 39.75/10.35 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.35 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.35 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.35 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.35 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.35 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.35 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.35 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.35 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.35 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.35 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.35 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.35 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.35 2 0 0 2 1 3 5 -> 2 5 4 2 2 1 0 0 3 4 , 39.75/10.35 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.35 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 39.75/10.35 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.35 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.35 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.35 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.35 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.35 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.35 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.35 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.35 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.35 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.35 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.35 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.35 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.35 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.35 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.35 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.35 0 0 0 4 2 5 ->= 1 5 2 4 5 4 1 4 4 5 , 39.75/10.35 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.35 1 2 5 1 3 0 ->= 2 3 0 5 1 0 3 1 3 0 , 39.75/10.35 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.35 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.35 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.35 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.35 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.35 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.35 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 1 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 39.75/10.35 Remains to prove termination of the 51-rule system 39.75/10.35 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.35 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.35 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.35 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.35 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.35 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.35 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.35 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.35 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.35 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 39.75/10.35 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.35 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.35 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.35 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.35 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.35 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.35 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.35 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.35 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.35 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.35 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.35 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.35 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.35 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.35 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 39.75/10.35 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.35 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.35 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.35 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.35 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.35 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.35 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.35 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.35 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.35 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.35 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.35 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.35 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.35 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.35 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.35 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.35 0 0 0 4 2 5 ->= 1 5 2 4 5 4 1 4 4 5 , 39.75/10.35 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.35 1 2 5 1 3 0 ->= 2 3 0 5 1 0 3 1 3 0 , 39.75/10.35 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.35 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.35 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.35 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.35 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.35 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.35 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 7: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 1 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 39.75/10.35 Remains to prove termination of the 50-rule system 39.75/10.35 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.35 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.35 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.35 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.35 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.35 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.35 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.35 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.35 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.35 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 39.75/10.35 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.35 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.35 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.35 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.35 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.35 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.35 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.35 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.35 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.35 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.35 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.35 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.35 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.35 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.35 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 39.75/10.35 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.35 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.35 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.35 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.35 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.35 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.35 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.35 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.35 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.35 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.35 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.35 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.35 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.35 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.35 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.35 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.35 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.35 1 2 5 1 3 0 ->= 2 3 0 5 1 0 3 1 3 0 , 39.75/10.35 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.35 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.35 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.35 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.35 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.35 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.35 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 12: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 1 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 1 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 39.75/10.35 Remains to prove termination of the 49-rule system 39.75/10.35 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.35 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.35 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.35 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.35 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.35 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.35 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.35 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.35 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.35 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 39.75/10.35 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.35 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.35 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.35 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.35 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.35 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.35 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.35 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.35 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.35 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.35 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.35 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.35 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.35 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.35 2 5 2 0 4 5 0 -> 1 2 2 2 2 5 0 2 1 0 , 39.75/10.35 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.35 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.35 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.35 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.35 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.35 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.35 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.35 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.35 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.35 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.35 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.35 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.35 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.35 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.35 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.35 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.35 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.35 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.35 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.35 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.35 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.35 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.35 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.35 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 1 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 39.75/10.35 Remains to prove termination of the 48-rule system 39.75/10.35 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.35 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.35 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.35 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.35 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.35 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.35 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.35 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.35 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.35 1 0 0 5 0 0 -> 2 1 5 5 5 5 0 1 0 4 , 39.75/10.35 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.35 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.35 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.35 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.35 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.35 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.35 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.35 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.35 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.35 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.35 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.35 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.35 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.35 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.35 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.35 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.35 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.35 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.35 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.35 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.35 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.35 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.35 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.35 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.35 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.35 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.35 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.35 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.35 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.35 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.35 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.35 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.35 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.35 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.35 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.35 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.35 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.35 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.35 39.75/10.35 39.75/10.35 The system was filtered by the following matrix interpretation 39.75/10.35 of type E_J with J = {1,...,2} and dimension 12: 39.75/10.35 39.75/10.35 0 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 1 1 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 1 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 1 1 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 1 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 1 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 4 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 2 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 1 0 0 0 1 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 3 is interpreted by 39.75/10.35 / \ 39.75/10.35 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.35 | 0 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.35 \ / 39.75/10.35 5 is interpreted by 39.75/10.35 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 47-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.36 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.36 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 1 0 2 0 0 2 0 -> 1 2 2 1 3 1 1 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 13: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 1 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 1 0 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 46-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 1 3 5 0 5 0 -> 2 4 2 3 2 3 5 3 3 0 , 39.75/10.36 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.36 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 12: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 1 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 45-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 1 5 4 0 2 4 -> 1 0 1 2 3 1 1 0 5 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.36 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 12: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 1 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 44-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.36 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 2 0 4 0 2 ->= 2 2 4 3 5 2 2 3 5 2 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 6: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 1 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 43-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.36 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 2 0 2 1 4 2 -> 2 4 4 2 4 1 1 3 4 2 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 42-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.36 2 2 1 3 1 4 -> 1 1 5 3 2 2 2 1 4 3 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 13: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 1 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 41-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 0 0 0 2 -> 0 2 2 1 0 4 2 3 4 2 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 0 2 -> 5 3 1 4 3 2 1 1 2 3 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 2 0 0 5 1 0 -> 2 5 3 5 2 2 3 5 2 3 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 5: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 | 39.75/10.36 | 0 1 0 0 0 | 39.75/10.36 | 0 0 0 1 0 | 39.75/10.36 | 0 0 1 0 1 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 | 39.75/10.36 | 0 0 0 1 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 | 39.75/10.36 | 0 1 0 0 0 | 39.75/10.36 | 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 | 39.75/10.36 | 0 1 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 38-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 0 0 2 5 -> 0 1 0 3 3 4 5 3 0 5 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 0 2 5 0 2 0 -> 3 2 3 4 2 5 0 2 4 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 6: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 1 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 1 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 1 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 36-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 2 0 0 0 0 3 -> 1 0 5 4 3 3 1 3 5 1 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 7: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 1 1 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 1 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 35-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 1 2 4 0 4 0 ->= 5 1 4 4 0 5 3 4 5 5 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 34-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 5 1 3 0 2 0 -> 2 4 5 5 1 0 1 5 3 4 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 7: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 33-rule system 39.75/10.36 { 0 0 0 -> 0 4 2 2 3 2 3 3 5 5 , 39.75/10.36 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 0 2 5 0 -> 3 1 2 3 4 4 5 1 0 3 , 39.75/10.36 5 2 0 0 0 -> 5 5 2 3 3 4 2 5 0 5 , 39.75/10.36 3 0 2 0 1 3 -> 3 0 5 5 1 5 3 3 4 3 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 0 3 0 0 2 2 4 -> 0 1 0 5 3 5 5 4 3 0 , 39.75/10.36 0 3 5 0 0 2 0 -> 0 2 3 1 5 4 3 0 4 4 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 3 0 2 2 0 1 3 -> 3 1 4 5 1 1 4 2 3 4 , 39.75/10.36 3 4 0 2 4 0 0 -> 3 2 4 5 3 1 1 0 3 0 , 39.75/10.36 4 0 2 4 0 1 3 -> 4 3 1 1 2 2 1 3 0 3 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 5 4 2 0 0 1 3 -> 2 3 4 2 4 3 1 1 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 0 2 0 ->= 1 2 3 1 1 5 3 3 5 5 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 5 4 2 0 4 ->= 0 3 3 5 5 5 5 2 4 0 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 0 0 4 2 1 ->= 5 0 5 5 0 1 2 3 4 1 , 39.75/10.36 5 0 0 5 2 0 ->= 0 5 3 3 0 3 3 4 3 5 , 39.75/10.36 5 2 5 0 0 0 ->= 3 1 5 2 2 5 3 5 5 4 , 39.75/10.36 0 0 5 4 2 0 3 ->= 1 5 2 1 0 5 5 0 5 3 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 4: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 1 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 1 1 1 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 1 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 0 1 1 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 17-rule system 39.75/10.36 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 , 39.75/10.36 5 4 3 2 0 3 2 ->= 5 5 0 5 3 0 3 5 5 2 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 16-rule system 39.75/10.36 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 0 5 0 -> 4 3 4 5 5 5 1 4 0 3 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 15-rule system 39.75/10.36 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 5 4 1 1 2 0 4 -> 4 3 5 5 4 4 4 2 2 4 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 14-rule system 39.75/10.36 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 5 0 1 3 3 2 -> 0 3 3 5 5 5 1 5 1 0 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 7: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 1 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 1 0 | 39.75/10.36 | 0 0 0 0 0 0 1 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 0 0 0 | 39.75/10.36 | 0 1 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 1 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 | 0 0 0 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 13-rule system 39.75/10.36 { 0 0 5 -> 1 2 3 4 1 5 0 3 3 4 , 39.75/10.36 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.36 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.36 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.36 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.36 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.36 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.36 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.36 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.36 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.36 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.36 0 0 5 1 5 1 ->= 0 0 3 1 3 2 1 1 5 1 , 39.75/10.36 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 } 39.75/10.36 39.75/10.36 39.75/10.36 The system was filtered by the following matrix interpretation 39.75/10.36 of type E_J with J = {1,...,2} and dimension 4: 39.75/10.36 39.75/10.36 0 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 1 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 4 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 2 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 1 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 3 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 5 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 \ / 39.75/10.36 1 is interpreted by 39.75/10.36 / \ 39.75/10.36 | 1 0 0 0 | 39.75/10.36 | 0 1 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 | 0 0 0 0 | 39.75/10.36 \ / 39.75/10.36 39.75/10.36 Remains to prove termination of the 11-rule system 39.75/10.36 { 5 4 2 0 -> 5 3 4 4 0 3 5 2 3 2 , 39.75/10.37 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.37 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.37 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.37 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.37 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.37 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.37 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 5: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 | 39.75/10.37 | 0 0 0 1 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 | 39.75/10.37 | 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 10-rule system 39.75/10.37 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.37 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.37 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.37 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.37 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.37 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 , 39.75/10.37 5 4 0 2 3 5 0 ->= 5 0 3 3 3 3 5 2 4 0 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 1 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 1 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 1 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 9-rule system 39.75/10.37 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.37 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.37 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.37 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.37 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 , 39.75/10.37 5 0 1 3 2 ->= 3 2 3 2 3 3 4 4 5 2 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 6: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 1 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 1 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 8-rule system 39.75/10.37 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.37 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.37 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.37 5 2 1 4 1 4 2 -> 1 3 2 4 3 1 2 0 3 0 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.37 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 1 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 1 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 7-rule system 39.75/10.37 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.37 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.37 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 , 39.75/10.37 3 3 3 0 0 ->= 3 4 2 3 5 3 5 5 4 4 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 6: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 1 1 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 1 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 1 0 0 | 39.75/10.37 | 0 0 0 0 1 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 6-rule system 39.75/10.37 { 4 0 1 3 4 -> 4 2 3 2 4 4 1 4 4 4 , 39.75/10.37 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.37 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 6: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 1 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 1 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 5-rule system 39.75/10.37 { 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.37 4 4 0 5 4 0 4 -> 4 4 5 1 1 0 3 4 2 4 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 10: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 1 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 1 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 1 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 1 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 4-rule system 39.75/10.37 { 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 2 4 0 5 3 2 1 -> 2 0 3 0 4 2 3 1 2 1 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 8: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 1 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 1 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 1 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 3-rule system 39.75/10.37 { 4 1 2 1 4 1 -> 3 5 5 2 1 4 4 4 5 1 , 39.75/10.37 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 } 39.75/10.37 39.75/10.37 39.75/10.37 The system was filtered by the following matrix interpretation 39.75/10.37 of type E_J with J = {1,...,2} and dimension 9: 39.75/10.37 39.75/10.37 0 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 4 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 1 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 1 1 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 2 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 1 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 3 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 1 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 5 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 1 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 1 is interpreted by 39.75/10.37 / \ 39.75/10.37 | 1 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 1 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 1 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 | 0 1 0 0 0 0 0 0 0 | 39.75/10.37 | 0 0 0 0 0 0 0 0 1 | 39.75/10.37 | 0 0 0 0 0 0 0 0 0 | 39.75/10.37 \ / 39.75/10.37 39.75/10.37 Remains to prove termination of the 2-rule system 39.75/10.37 { 0 ->= 1 2 1 2 3 4 5 3 0 3 , 39.75/10.37 5 1 3 ->= 5 1 0 3 3 3 3 4 0 4 } 39.75/10.37 39.75/10.37 39.75/10.37 The system is trivially terminating. 40.05/10.47 EOF