66.35/17.12 YES 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 5: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 | 66.75/17.24 | 0 1 0 0 0 | 66.75/17.24 | 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 | 66.75/17.24 | 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 | 66.75/17.24 | 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 57-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 0 4 5 1 -> 0 3 5 2 2 0 0 3 2 1 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 66.75/17.24 0 0 1 1 3 5 3 -> 1 2 1 5 1 3 0 3 5 3 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 3 5 4 0 5 ->= 3 5 0 4 3 5 0 3 1 5 , 66.75/17.24 5 3 4 5 4 ->= 5 4 4 5 4 1 2 4 4 3 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 6: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 56-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 66.75/17.24 0 0 1 1 3 5 3 -> 1 2 1 5 1 3 0 3 5 3 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 3 5 4 0 5 ->= 3 5 0 4 3 5 0 3 1 5 , 66.75/17.24 5 3 4 5 4 ->= 5 4 4 5 4 1 2 4 4 3 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 11: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 1 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 55-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 1 4 5 3 -> 1 1 1 4 4 3 1 1 5 4 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 66.75/17.24 0 0 1 1 3 5 3 -> 1 2 1 5 1 3 0 3 5 3 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 5 3 4 5 4 ->= 5 4 4 5 4 1 2 4 4 3 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 7: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 54-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 5 1 3 4 5 1 -> 2 0 2 4 4 3 0 1 1 1 , 66.75/17.24 0 0 1 1 3 5 3 -> 1 2 1 5 1 3 0 3 5 3 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 5 3 4 5 4 ->= 5 4 4 5 4 1 2 4 4 3 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 7: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 53-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 0 0 1 1 3 5 3 -> 1 2 1 5 1 3 0 3 5 3 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 5 3 4 5 4 ->= 5 4 4 5 4 1 2 4 4 3 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 8: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 0 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 1 0 0 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 52-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 1 3 5 0 1 -> 1 5 0 4 3 3 5 2 3 5 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 5 3 4 5 4 ->= 5 4 4 5 4 1 2 4 4 3 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 7: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 1 0 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 1 1 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 51-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 3 4 5 4 5 -> 1 4 5 0 4 3 3 3 1 5 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 5 3 4 5 4 ->= 5 4 4 5 4 1 2 4 4 3 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 6: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 1 1 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 49-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 1 2 5 -> 3 3 2 1 1 5 1 5 5 5 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 8: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 4 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 1 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 1 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 2 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 1 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 1 | 66.75/17.24 | 0 0 0 0 0 0 0 1 | 66.75/17.24 \ / 66.75/17.24 66.75/17.24 Remains to prove termination of the 48-rule system 66.75/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.75/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.75/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.75/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.75/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.75/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.75/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.75/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.75/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.75/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.75/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.75/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.75/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.75/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.75/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.75/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.75/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.75/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.75/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.75/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.75/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.75/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.75/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.75/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.75/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.75/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.75/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.75/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.75/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.75/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.75/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.75/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.75/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.75/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.75/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.75/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.75/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.75/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.75/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.75/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.75/17.24 3 4 0 5 3 1 ->= 4 1 4 1 4 4 0 2 1 2 , 66.75/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.75/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.75/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.75/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.75/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.75/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.75/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.75/17.24 66.75/17.24 66.75/17.24 The system was filtered by the following matrix interpretation 66.75/17.24 of type E_J with J = {1,...,2} and dimension 13: 66.75/17.24 66.75/17.24 0 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 1 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 1 0 0 0 0 1 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 5 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 \ / 66.75/17.24 3 is interpreted by 66.75/17.24 / \ 66.75/17.24 | 1 0 1 1 0 0 0 1 0 0 0 0 0 | 66.75/17.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 1 0 0 0 1 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.75/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 4 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 1 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 2 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 66.87/17.24 Remains to prove termination of the 47-rule system 66.87/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.87/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.87/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.87/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.87/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.87/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.87/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.87/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.24 1 0 0 5 5 1 -> 0 3 1 1 1 4 4 4 0 1 , 66.87/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.87/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.87/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.87/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.87/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.87/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.87/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.87/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.87/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.87/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.87/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.87/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.87/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.24 66.87/17.24 66.87/17.24 The system was filtered by the following matrix interpretation 66.87/17.24 of type E_J with J = {1,...,2} and dimension 7: 66.87/17.24 66.87/17.24 0 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 1 0 0 0 | 66.87/17.24 | 0 0 0 0 1 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 1 | 66.87/17.24 \ / 66.87/17.24 5 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 1 0 | 66.87/17.24 | 0 0 0 0 0 0 1 | 66.87/17.24 | 0 0 0 0 0 0 1 | 66.87/17.24 \ / 66.87/17.24 3 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 4 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 1 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 2 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 66.87/17.24 Remains to prove termination of the 46-rule system 66.87/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.87/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.87/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.87/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.87/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.87/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.87/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.87/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.87/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.24 4 0 1 3 4 5 -> 3 0 5 0 4 4 4 3 3 5 , 66.87/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.87/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.87/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.87/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.87/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.87/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.87/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.87/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.87/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.87/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.87/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.24 66.87/17.24 66.87/17.24 The system was filtered by the following matrix interpretation 66.87/17.24 of type E_J with J = {1,...,2} and dimension 7: 66.87/17.24 66.87/17.24 0 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 1 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 5 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 3 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 1 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 4 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 1 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 1 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 1 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 2 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 1 | 66.87/17.24 \ / 66.87/17.24 66.87/17.24 Remains to prove termination of the 45-rule system 66.87/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.87/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.87/17.24 0 1 4 5 4 -> 1 0 3 3 1 0 2 3 1 4 , 66.87/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.87/17.24 1 5 3 5 4 -> 2 0 2 1 4 4 1 0 1 4 , 66.87/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.24 4 5 4 5 3 -> 2 3 0 3 3 4 1 5 2 1 , 66.87/17.24 5 3 3 5 3 -> 5 4 4 5 4 0 2 0 3 3 , 66.87/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.87/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.87/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.87/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.87/17.24 2 5 4 5 4 0 1 -> 5 3 0 4 5 0 4 4 3 1 , 66.87/17.24 3 1 0 5 3 5 3 -> 4 4 0 3 4 5 3 4 2 3 , 66.87/17.24 4 1 5 3 3 5 3 -> 3 1 3 1 1 5 4 3 4 2 , 66.87/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.24 5 1 3 2 5 3 0 -> 5 0 4 3 5 1 3 3 1 0 , 66.87/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.87/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.87/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.24 3 4 5 4 5 3 1 ->= 3 3 1 0 5 4 1 2 2 2 , 66.87/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.24 66.87/17.24 66.87/17.24 The system was filtered by the following matrix interpretation 66.87/17.24 of type E_J with J = {1,...,2} and dimension 6: 66.87/17.24 66.87/17.24 0 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 1 0 | 66.87/17.24 \ / 66.87/17.24 5 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 1 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 1 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 3 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 1 0 | 66.87/17.24 | 0 0 1 0 1 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 4 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 1 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 1 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 1 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 2 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 1 0 1 0 | 66.87/17.24 | 0 0 0 0 0 1 | 66.87/17.24 \ / 66.87/17.24 66.87/17.24 Remains to prove termination of the 36-rule system 66.87/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.87/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.24 0 1 0 2 5 -> 1 0 3 0 2 3 1 1 5 2 , 66.87/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.87/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.87/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.24 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.24 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.24 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.24 0 1 4 0 5 2 4 -> 1 1 0 1 0 3 2 5 1 4 , 66.87/17.24 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.24 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.87/17.24 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.87/17.24 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.24 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.24 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.24 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.87/17.24 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.24 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.24 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.24 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.24 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.24 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.24 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.87/17.24 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.24 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.24 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.24 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.24 66.87/17.24 66.87/17.24 The system was filtered by the following matrix interpretation 66.87/17.24 of type E_J with J = {1,...,2} and dimension 6: 66.87/17.24 66.87/17.24 0 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 1 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 1 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 5 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 3 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 4 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 1 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 1 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 1 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 \ / 66.87/17.24 2 is interpreted by 66.87/17.24 / \ 66.87/17.24 | 1 0 0 0 0 0 | 66.87/17.24 | 0 1 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 0 | 66.87/17.24 | 0 0 0 0 0 1 | 66.87/17.24 | 0 0 0 0 0 1 | 66.87/17.24 \ / 66.87/17.24 66.87/17.24 Remains to prove termination of the 34-rule system 66.87/17.24 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.24 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.24 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.24 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.87/17.24 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.24 1 0 5 4 0 -> 1 1 2 0 4 0 0 3 1 0 , 66.87/17.24 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.24 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.24 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.24 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.24 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.24 1 4 0 5 4 0 -> 1 0 2 5 5 0 3 0 4 0 , 66.87/17.24 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.87/17.25 1 5 1 5 0 5 1 -> 2 2 2 1 1 5 4 5 5 1 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.25 0 0 1 ->= 2 1 1 1 2 3 0 4 4 1 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.25 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 6: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 30-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 1 5 3 1 -> 2 1 0 1 1 1 5 1 1 2 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.25 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 5: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 | 66.87/17.25 | 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 | 66.87/17.25 | 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 | 66.87/17.25 | 0 0 1 0 1 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 29-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 1 4 0 5 4 2 1 -> 0 0 1 5 4 3 3 3 3 5 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.25 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 8: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 28-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 0 4 5 0 3 0 1 ->= 0 2 4 3 3 1 1 2 0 1 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.25 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 8: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 27-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 0 2 5 4 ->= 0 0 3 3 2 5 4 0 4 4 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.25 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 11: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 26-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 , 66.87/17.25 5 3 2 3 3 3 5 ->= 5 5 3 1 2 4 0 2 2 5 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 13: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 1 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 25-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 0 5 3 0 2 3 -> 0 0 3 2 3 5 5 0 4 3 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 7: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 24-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 5 1 4 5 2 4 2 -> 2 5 0 1 5 1 5 2 0 2 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 8: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 1 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 23-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 2 5 ->= 2 3 3 0 3 3 1 5 2 2 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 7: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 1 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 1 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 22-rule system 66.87/17.25 { 0 5 3 -> 3 0 4 3 0 4 1 4 4 4 , 66.87/17.25 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 3 5 0 5 3 -> 3 2 2 2 0 0 2 2 0 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 2 5 4 0 5 3 -> 5 3 4 3 2 4 3 2 5 2 , 66.87/17.25 4 1 0 5 3 1 -> 2 0 3 4 1 5 0 2 5 1 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 4: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 1 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 1 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 1 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 18-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 2 1 3 3 5 ->= 2 3 1 5 5 0 1 5 5 2 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 8: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 17-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 2 3 5 1 3 2 ->= 2 2 3 3 0 4 4 5 4 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 7: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 16-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 1 5 4 1 ->= 1 1 2 0 1 5 5 4 3 1 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 10: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 15-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 1 3 4 0 0 0 0 -> 0 1 0 2 3 2 4 3 3 3 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 10: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 14-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 , 66.87/17.25 3 2 3 1 2 4 0 ->= 3 5 5 0 3 3 0 0 3 0 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 13: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 13-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 1 3 5 -> 3 0 3 4 4 2 5 5 2 2 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 4 5 3 5 5 0 1 -> 4 3 2 2 0 2 2 4 5 1 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 2 3 5 ->= 2 4 4 4 4 5 5 5 5 5 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 , 66.87/17.25 2 3 5 3 1 1 3 ->= 3 0 4 4 0 3 0 1 5 3 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 4: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 1 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 9-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 5 1 4 2 4 5 3 -> 0 1 0 2 3 2 1 0 0 3 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 8: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 8-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 5 1 2 4 5 3 -> 0 2 1 1 1 0 1 1 5 4 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 7: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 7-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 3 3 5 -> 3 3 4 1 0 1 5 2 5 5 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 6: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 6-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 0 0 5 1 3 3 -> 0 2 0 1 4 4 5 5 4 4 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 7: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 1 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 5-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 , 66.87/17.25 3 4 2 5 5 3 ->= 3 4 2 2 5 2 0 3 1 4 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 7: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 1 0 | 66.87/17.25 | 0 0 0 0 0 0 1 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 1 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 1 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 0 0 0 | 66.87/17.25 | 0 1 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 1 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 | 0 0 0 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 4-rule system 66.87/17.25 { 1 3 4 -> 0 4 3 5 5 1 0 3 4 4 , 66.87/17.25 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.25 of type E_J with J = {1,...,2} and dimension 4: 66.87/17.25 66.87/17.25 0 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 5 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 3 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 1 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 4 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 \ / 66.87/17.25 1 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 1 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 2 is interpreted by 66.87/17.25 / \ 66.87/17.25 | 1 0 0 0 | 66.87/17.25 | 0 1 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 | 0 0 0 0 | 66.87/17.25 \ / 66.87/17.25 66.87/17.25 Remains to prove termination of the 3-rule system 66.87/17.25 { 4 5 3 -> 3 4 3 2 2 3 0 3 3 4 , 66.87/17.25 4 5 3 1 3 -> 2 0 3 5 5 5 0 2 4 3 , 66.87/17.25 4 5 4 5 3 2 -> 0 3 5 3 4 4 4 2 1 2 } 66.87/17.25 66.87/17.25 66.87/17.25 The system was filtered by the following matrix interpretation 66.87/17.26 of type E_J with J = {1,...,2} and dimension 4: 66.87/17.26 66.87/17.26 0 is interpreted by 66.87/17.26 / \ 66.87/17.26 | 1 0 0 0 | 66.87/17.26 | 0 1 0 0 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 \ / 66.87/17.26 5 is interpreted by 66.87/17.26 / \ 66.87/17.26 | 1 0 0 0 | 66.87/17.26 | 0 1 0 0 | 66.87/17.26 | 0 0 0 1 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 \ / 66.87/17.26 3 is interpreted by 66.87/17.26 / \ 66.87/17.26 | 1 0 1 0 | 66.87/17.26 | 0 1 0 0 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 | 0 1 0 0 | 66.87/17.26 \ / 66.87/17.26 4 is interpreted by 66.87/17.26 / \ 66.87/17.26 | 1 0 1 0 | 66.87/17.26 | 0 1 0 0 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 | 0 1 0 0 | 66.87/17.26 \ / 66.87/17.26 1 is interpreted by 66.87/17.26 / \ 66.87/17.26 | 1 0 0 0 | 66.87/17.26 | 0 1 0 0 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 \ / 66.87/17.26 2 is interpreted by 66.87/17.26 / \ 66.87/17.26 | 1 0 0 0 | 66.87/17.26 | 0 1 0 0 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 | 0 0 0 0 | 66.87/17.26 \ / 66.87/17.26 66.87/17.26 Remains to prove termination of the 0-rule system 66.87/17.26 { } 66.87/17.26 66.87/17.26 66.87/17.26 The system is trivially terminating. 95.94/44.53 EOF