409.03/103.57 YES 409.33/103.72 409.33/103.72 409.33/103.72 The system was filtered by the following matrix interpretation 409.33/103.72 of type E_J with J = {1,...,2} and dimension 7: 409.33/103.72 409.33/103.72 0 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 1 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 1 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 3 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 2 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 1 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 4 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 1 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 1 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 1 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 1 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 1 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 5 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 409.33/103.72 Remains to prove termination of the 59-rule system 409.33/103.72 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.33/103.72 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.33/103.72 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.33/103.72 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.33/103.72 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.33/103.72 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.33/103.72 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.33/103.72 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.33/103.72 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.33/103.72 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.33/103.72 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.33/103.72 0 2 1 0 0 0 -> 0 1 3 1 3 1 3 5 3 2 , 409.33/103.72 0 3 0 3 4 0 -> 1 1 1 3 2 1 2 5 1 5 , 409.33/103.72 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.33/103.72 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.33/103.72 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.33/103.72 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.33/103.72 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.33/103.72 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.33/103.72 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.33/103.72 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.33/103.72 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.33/103.72 0 0 5 4 5 5 0 -> 0 1 1 5 2 2 2 3 4 3 , 409.33/103.72 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.33/103.72 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.33/103.72 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.33/103.72 0 5 1 0 0 5 0 -> 2 2 0 0 3 2 0 1 5 3 , 409.33/103.72 0 5 4 2 4 5 0 -> 2 2 1 1 0 4 3 3 1 3 , 409.33/103.72 1 0 5 5 4 0 4 -> 2 1 5 3 2 2 4 4 0 4 , 409.33/103.72 1 4 5 5 3 0 0 -> 1 1 1 4 2 4 4 4 3 0 , 409.33/103.72 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.33/103.72 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.33/103.72 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.33/103.72 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.33/103.72 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.33/103.72 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.33/103.72 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.33/103.72 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.33/103.72 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.33/103.72 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.33/103.72 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.33/103.72 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.33/103.72 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.33/103.72 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.33/103.72 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.33/103.72 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.33/103.72 5 4 0 0 2 1 4 -> 2 1 1 2 1 3 2 3 0 0 , 409.33/103.72 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.33/103.72 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.33/103.72 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.33/103.72 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.33/103.72 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.33/103.72 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.33/103.72 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.33/103.72 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.33/103.72 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.33/103.72 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.33/103.72 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.33/103.72 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.33/103.72 409.33/103.72 409.33/103.72 The system was filtered by the following matrix interpretation 409.33/103.72 of type E_J with J = {1,...,2} and dimension 7: 409.33/103.72 409.33/103.72 0 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 1 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 1 0 | 409.33/103.72 | 0 0 0 0 0 0 1 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 3 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 2 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 1 0 0 0 | 409.33/103.72 | 0 0 0 1 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 4 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 1 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 1 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 1 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 1 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 1 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 5 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 409.33/103.72 Remains to prove termination of the 58-rule system 409.33/103.72 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.33/103.72 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.33/103.72 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.33/103.72 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.33/103.72 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.33/103.72 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.33/103.72 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.33/103.72 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.33/103.72 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.33/103.72 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.33/103.72 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.33/103.72 0 3 0 3 4 0 -> 1 1 1 3 2 1 2 5 1 5 , 409.33/103.72 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.33/103.72 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.33/103.72 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.33/103.72 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.33/103.72 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.33/103.72 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.33/103.72 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.33/103.72 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.33/103.72 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.33/103.72 0 0 5 4 5 5 0 -> 0 1 1 5 2 2 2 3 4 3 , 409.33/103.72 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.33/103.72 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.33/103.72 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.33/103.72 0 5 1 0 0 5 0 -> 2 2 0 0 3 2 0 1 5 3 , 409.33/103.72 0 5 4 2 4 5 0 -> 2 2 1 1 0 4 3 3 1 3 , 409.33/103.72 1 0 5 5 4 0 4 -> 2 1 5 3 2 2 4 4 0 4 , 409.33/103.72 1 4 5 5 3 0 0 -> 1 1 1 4 2 4 4 4 3 0 , 409.33/103.72 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.33/103.72 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.33/103.72 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.33/103.72 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.33/103.72 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.33/103.72 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.33/103.72 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.33/103.72 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.33/103.72 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.33/103.72 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.33/103.72 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.33/103.72 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.33/103.72 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.33/103.72 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.33/103.72 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.33/103.72 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.33/103.72 5 4 0 0 2 1 4 -> 2 1 1 2 1 3 2 3 0 0 , 409.33/103.72 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.33/103.72 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.33/103.72 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.33/103.72 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.33/103.72 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.33/103.72 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.33/103.72 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.33/103.72 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.33/103.72 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.33/103.72 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.33/103.72 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.33/103.72 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.33/103.72 409.33/103.72 409.33/103.72 The system was filtered by the following matrix interpretation 409.33/103.72 of type E_J with J = {1,...,2} and dimension 8: 409.33/103.72 409.33/103.72 0 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 1 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 1 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 3 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 2 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 | 0 0 1 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 4 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 1 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 1 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 1 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 1 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 1 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 5 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 1 0 0 0 | 409.33/103.72 | 0 0 0 0 0 1 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 409.33/103.72 Remains to prove termination of the 57-rule system 409.33/103.72 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.33/103.72 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.33/103.72 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.33/103.72 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.33/103.72 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.33/103.72 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.33/103.72 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.33/103.72 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.33/103.72 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.33/103.72 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.33/103.72 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.33/103.72 0 3 0 3 4 0 -> 1 1 1 3 2 1 2 5 1 5 , 409.33/103.72 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.33/103.72 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.33/103.72 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.33/103.72 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.33/103.72 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.33/103.72 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.33/103.72 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.33/103.72 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.33/103.72 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.33/103.72 0 0 5 4 5 5 0 -> 0 1 1 5 2 2 2 3 4 3 , 409.33/103.72 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.33/103.72 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.33/103.72 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.33/103.72 0 5 1 0 0 5 0 -> 2 2 0 0 3 2 0 1 5 3 , 409.33/103.72 0 5 4 2 4 5 0 -> 2 2 1 1 0 4 3 3 1 3 , 409.33/103.72 1 4 5 5 3 0 0 -> 1 1 1 4 2 4 4 4 3 0 , 409.33/103.72 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.33/103.72 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.33/103.72 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.33/103.72 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.33/103.72 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.33/103.72 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.33/103.72 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.33/103.72 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.33/103.72 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.33/103.72 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.33/103.72 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.33/103.72 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.33/103.72 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.33/103.72 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.33/103.72 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.33/103.72 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.33/103.72 5 4 0 0 2 1 4 -> 2 1 1 2 1 3 2 3 0 0 , 409.33/103.72 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.33/103.72 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.33/103.72 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.33/103.72 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.33/103.72 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.33/103.72 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.33/103.72 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.33/103.72 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.33/103.72 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.33/103.72 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.33/103.72 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.33/103.72 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.33/103.72 409.33/103.72 409.33/103.72 The system was filtered by the following matrix interpretation 409.33/103.72 of type E_J with J = {1,...,2} and dimension 8: 409.33/103.72 409.33/103.72 0 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 1 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 \ / 409.33/103.72 3 is interpreted by 409.33/103.72 / \ 409.33/103.72 | 1 0 0 0 0 0 0 0 | 409.33/103.72 | 0 1 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.33/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 2 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 1 1 0 1 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 4 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 1 1 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 1 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 1 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 1 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 1 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 1 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 5 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 1 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 1 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 1 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 409.58/103.72 Remains to prove termination of the 56-rule system 409.58/103.72 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.72 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.72 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.72 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.72 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.72 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.72 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.72 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.72 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.72 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.72 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.72 0 3 0 3 4 0 -> 1 1 1 3 2 1 2 5 1 5 , 409.58/103.72 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.72 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.72 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.72 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.72 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.72 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.72 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.72 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.72 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.72 0 0 5 4 5 5 0 -> 0 1 1 5 2 2 2 3 4 3 , 409.58/103.72 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.58/103.72 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.72 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.72 0 5 1 0 0 5 0 -> 2 2 0 0 3 2 0 1 5 3 , 409.58/103.72 1 4 5 5 3 0 0 -> 1 1 1 4 2 4 4 4 3 0 , 409.58/103.72 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.58/103.72 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.72 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.72 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.72 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.72 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.72 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.58/103.72 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.72 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.72 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.72 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.72 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.72 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.72 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.72 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.72 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.72 5 4 0 0 2 1 4 -> 2 1 1 2 1 3 2 3 0 0 , 409.58/103.72 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.72 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.72 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.72 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.72 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.72 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.72 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.72 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.72 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.72 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.72 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.72 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.72 409.58/103.72 409.58/103.72 The system was filtered by the following matrix interpretation 409.58/103.72 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.72 409.58/103.72 0 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 1 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 1 0 0 | 409.58/103.72 | 0 0 0 0 0 0 1 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 3 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 2 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 1 1 1 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 4 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 1 1 1 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 1 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 1 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 5 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 0 1 1 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 1 | 409.58/103.72 | 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 409.58/103.72 Remains to prove termination of the 55-rule system 409.58/103.72 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.72 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.72 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.72 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.72 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.72 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.72 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.72 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.72 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.72 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.72 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.72 0 3 0 3 4 0 -> 1 1 1 3 2 1 2 5 1 5 , 409.58/103.72 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.72 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.72 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.72 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.72 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.72 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.72 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.72 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.72 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.72 0 0 5 4 5 5 0 -> 0 1 1 5 2 2 2 3 4 3 , 409.58/103.72 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.58/103.72 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.72 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.72 1 4 5 5 3 0 0 -> 1 1 1 4 2 4 4 4 3 0 , 409.58/103.72 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.58/103.72 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.72 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.72 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.72 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.72 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.72 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.58/103.72 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.72 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.72 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.72 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.72 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.72 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.72 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.72 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.72 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.72 5 4 0 0 2 1 4 -> 2 1 1 2 1 3 2 3 0 0 , 409.58/103.72 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.72 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.72 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.72 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.72 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.72 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.72 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.72 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.72 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.72 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.72 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.72 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.72 409.58/103.72 409.58/103.72 The system was filtered by the following matrix interpretation 409.58/103.72 of type E_J with J = {1,...,2} and dimension 14: 409.58/103.72 409.58/103.72 0 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 3 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 2 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 1 1 0 0 0 0 1 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 4 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 1 1 0 0 0 0 2 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 \ / 409.58/103.72 1 is interpreted by 409.58/103.72 / \ 409.58/103.72 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.72 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 54-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 0 3 4 0 -> 1 1 1 3 2 1 2 5 1 5 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 0 5 4 5 5 0 -> 0 1 1 5 2 2 2 3 4 3 , 409.58/103.73 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 0 0 2 1 4 -> 2 1 1 2 1 3 2 3 0 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 7: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 1 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 1 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 53-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 0 5 4 5 5 0 -> 0 1 1 5 2 2 2 3 4 3 , 409.58/103.73 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 0 0 2 1 4 -> 2 1 1 2 1 3 2 3 0 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 1 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 52-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 0 5 4 5 5 0 -> 0 1 1 5 2 2 2 3 4 3 , 409.58/103.73 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 51-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 3 2 4 4 5 5 -> 1 1 1 3 0 3 1 3 0 5 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 13: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 1 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 50-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 0 4 5 0 -> 4 4 0 2 5 1 3 1 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 49-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 1 4 5 5 4 5 4 -> 2 3 0 1 3 5 5 4 3 5 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 1 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 48-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 0 5 0 5 4 0 -> 5 3 2 5 5 0 2 1 1 3 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 47-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 2 0 0 0 4 -> 5 5 3 2 2 5 2 3 0 4 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 9: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 46-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 0 1 4 -> 2 2 4 2 5 1 0 1 4 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 45-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 2 3 0 5 0 -> 3 5 0 2 1 3 1 1 3 3 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 1 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 44-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 3 3 2 0 0 -> 2 5 0 2 1 3 1 2 3 2 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 1 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 43-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 0 5 0 0 0 4 4 -> 2 2 3 1 1 3 5 0 5 1 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 14: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 42-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 0 5 1 4 1 4 -> 4 0 0 2 0 3 1 3 0 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 41-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 5 4 5 0 0 -> 3 2 2 1 3 5 5 1 3 0 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 0 5 4 2 0 0 -> 3 0 2 3 4 2 0 2 3 0 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 39-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.73 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.73 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.73 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.73 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.73 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.73 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.73 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.73 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.73 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.73 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.73 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.73 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.73 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.73 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.73 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.73 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.73 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.73 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.73 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.73 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.73 5 5 0 5 0 5 4 -> 2 5 4 5 5 3 2 3 4 2 , 409.58/103.73 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.73 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.73 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.73 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.73 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.73 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.73 409.58/103.73 409.58/103.73 The system was filtered by the following matrix interpretation 409.58/103.73 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.73 409.58/103.73 0 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 1 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 3 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 2 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 4 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 1 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 5 is interpreted by 409.58/103.73 / \ 409.58/103.73 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.73 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.73 \ / 409.58/103.73 409.58/103.73 Remains to prove termination of the 38-rule system 409.58/103.73 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.73 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.73 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.73 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.73 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.73 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.73 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.73 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.73 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.73 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.73 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.73 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.74 5 3 4 0 0 0 -> 5 3 3 1 2 2 5 1 3 0 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.74 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 9: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 37-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.74 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 1 2 5 0 0 -> 2 3 4 0 2 2 4 2 5 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 36-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 5 0 3 3 5 0 -> 5 2 2 0 2 5 1 2 1 3 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.74 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 9: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 35-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.74 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 3 5 1 5 4 5 4 -> 5 1 4 0 1 5 0 3 2 5 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 1 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 1 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 34-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.74 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 3 5 5 5 0 0 -> 4 4 3 1 2 4 5 1 3 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 16: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 33-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 2 0 5 4 0 3 5 -> 2 1 2 0 4 3 4 3 2 2 , 409.58/103.74 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 14: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 32-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 3 4 3 3 4 4 -> 5 1 4 1 3 3 3 3 0 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 31-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 0 5 2 4 1 4 -> 1 5 3 2 1 3 1 4 1 4 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 7: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 1 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 1 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 1 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 30-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 3 4 2 0 4 2 -> 4 3 2 5 5 2 5 2 0 2 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 4 5 0 0 3 4 1 -> 4 1 0 2 3 3 5 2 5 1 , 409.58/103.74 5 0 4 4 2 0 4 -> 3 1 3 5 5 1 4 1 0 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 4 ->= 1 2 1 3 3 1 0 0 0 4 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 7: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 1 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 26-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 0 5 3 1 4 -> 2 5 1 0 1 4 2 2 4 4 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 6: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 25-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 4 4 1 0 5 4 5 -> 4 1 5 5 5 2 1 3 2 5 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 1 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 24-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 3 3 4 5 5 -> 3 1 2 0 1 3 0 0 5 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 6: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 | 409.58/103.74 | 0 1 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 23-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 0 5 0 1 -> 5 1 3 0 0 3 3 1 5 1 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 5 5 0 0 5 0 3 -> 2 4 0 1 0 0 1 5 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 3 5 0 ->= 3 3 5 3 2 1 1 0 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 4: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 1 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 20-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 5 1 5 5 4 -> 2 4 2 0 2 3 1 5 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 19-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 , 409.58/103.74 5 0 0 3 4 2 4 ->= 5 0 1 2 3 2 3 2 0 4 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 18-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 5 0 4 5 4 -> 1 1 2 3 1 2 3 4 5 4 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 8: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 17-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 5 3 3 4 0 3 0 -> 3 1 5 2 4 5 3 0 3 0 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 10: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 1 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 16-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 3 4 0 -> 2 1 2 2 4 4 1 3 2 3 , 409.58/103.74 3 4 0 4 -> 1 3 1 3 2 4 2 2 4 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 3 4 4 1 0 4 0 -> 1 2 2 0 0 4 3 0 1 0 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 4: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 1 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 13-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 5 4 5 4 5 1 2 -> 3 1 1 4 3 4 2 4 2 4 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 0 4 ->= 1 2 2 4 3 1 3 3 0 4 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 4: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 1 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 1 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 1 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 11-rule system 409.58/103.74 { 0 0 3 -> 2 2 4 4 0 2 3 3 1 5 , 409.58/103.74 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 4: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 1 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 1 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 5 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 | 409.58/103.74 | 0 1 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 | 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 409.58/103.74 Remains to prove termination of the 10-rule system 409.58/103.74 { 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.74 0 3 3 4 4 2 -> 0 2 1 2 2 2 0 0 1 2 , 409.58/103.74 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.74 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.74 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.74 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.74 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.74 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.74 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.74 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.74 409.58/103.74 409.58/103.74 The system was filtered by the following matrix interpretation 409.58/103.74 of type E_J with J = {1,...,2} and dimension 7: 409.58/103.74 409.58/103.74 0 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 1 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 3 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 1 0 0 0 | 409.58/103.74 | 0 0 0 0 1 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 2 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 4 is interpreted by 409.58/103.74 / \ 409.58/103.74 | 1 0 0 0 0 0 0 | 409.58/103.74 | 0 1 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 | 0 0 0 0 0 1 0 | 409.58/103.74 | 0 0 0 0 0 0 1 | 409.58/103.74 | 0 0 0 0 0 0 0 | 409.58/103.74 \ / 409.58/103.74 1 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 5 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 409.58/103.75 Remains to prove termination of the 9-rule system 409.58/103.75 { 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.75 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.75 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.75 3 5 4 5 5 0 -> 3 1 0 0 4 3 1 4 1 3 , 409.58/103.75 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.75 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.75 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.75 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.75 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.75 409.58/103.75 409.58/103.75 The system was filtered by the following matrix interpretation 409.58/103.75 of type E_J with J = {1,...,2} and dimension 7: 409.58/103.75 409.58/103.75 0 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 1 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 3 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 1 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 2 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 4 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 1 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 1 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 5 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 1 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 1 0 | 409.58/103.75 | 0 0 0 0 0 0 1 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 409.58/103.75 Remains to prove termination of the 8-rule system 409.58/103.75 { 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.75 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.75 3 4 0 4 4 2 -> 1 2 3 2 2 4 0 4 0 1 , 409.58/103.75 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.75 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.75 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.75 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.75 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.75 409.58/103.75 409.58/103.75 The system was filtered by the following matrix interpretation 409.58/103.75 of type E_J with J = {1,...,2} and dimension 7: 409.58/103.75 409.58/103.75 0 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 1 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 1 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 3 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 1 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 2 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 4 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 1 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 1 0 | 409.58/103.75 | 0 0 0 0 0 0 1 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 1 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 5 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 0 0 0 0 0 | 409.58/103.75 | 0 1 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 | 0 0 0 0 0 0 0 | 409.58/103.75 \ / 409.58/103.75 409.58/103.75 Remains to prove termination of the 7-rule system 409.58/103.75 { 5 0 0 5 1 -> 5 3 1 3 4 2 0 1 5 1 , 409.58/103.75 1 4 5 5 0 1 -> 1 4 1 2 4 2 1 3 3 1 , 409.58/103.75 4 0 0 1 1 1 -> 3 1 2 1 1 2 1 3 1 1 , 409.58/103.75 0 4 1 4 1 1 2 -> 3 2 1 3 5 2 1 1 2 2 , 409.58/103.75 4 1 0 2 1 0 3 -> 1 3 1 0 5 2 2 3 2 3 , 409.58/103.75 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.75 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.75 409.58/103.75 409.58/103.75 The system was filtered by the following matrix interpretation 409.58/103.75 of type E_J with J = {1,...,2} and dimension 2: 409.58/103.75 409.58/103.75 0 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 1 | 409.58/103.75 | 0 1 | 409.58/103.75 \ / 409.58/103.75 3 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 | 409.58/103.75 | 0 1 | 409.58/103.75 \ / 409.58/103.75 2 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 | 409.58/103.75 | 0 1 | 409.58/103.75 \ / 409.58/103.75 4 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 | 409.58/103.75 | 0 1 | 409.58/103.75 \ / 409.58/103.75 1 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 | 409.58/103.75 | 0 1 | 409.58/103.75 \ / 409.58/103.75 5 is interpreted by 409.58/103.75 / \ 409.58/103.75 | 1 0 | 409.58/103.75 | 0 1 | 409.58/103.75 \ / 409.58/103.75 409.58/103.75 Remains to prove termination of the 2-rule system 409.58/103.75 { 0 ->= 1 2 2 3 2 3 0 3 1 3 , 409.58/103.75 0 3 5 1 ->= 2 1 1 3 1 4 5 1 0 1 } 409.58/103.75 409.58/103.75 409.58/103.75 The system is trivially terminating. 409.65/103.81 EOF