7.03/2.02 YES 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 17: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 2 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 3 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 24-rule system 7.90/2.25 { 0 1 1 2 -> 0 0 1 , 7.90/2.25 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.25 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.25 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.25 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.25 3 4 3 0 4 0 3 2 -> 5 1 5 4 2 , 7.90/2.25 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.25 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.25 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.25 1 2 4 4 4 5 5 0 2 2 -> 4 4 1 1 0 5 5 5 0 , 7.90/2.25 2 1 3 1 5 5 5 1 1 1 -> 5 4 2 3 5 4 2 2 1 , 7.90/2.25 2 0 3 1 1 0 2 5 3 3 2 3 -> 5 4 0 4 4 4 1 4 0 3 , 7.90/2.25 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.25 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.25 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.25 3 5 0 1 4 0 0 1 3 5 4 1 0 2 -> 1 1 4 1 1 5 0 3 0 0 4 5 0 , 7.90/2.25 3 2 3 4 3 5 5 3 4 0 5 4 3 5 2 -> 3 5 5 0 1 4 3 4 1 1 5 1 0 , 7.90/2.25 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.25 2 1 3 0 5 1 2 2 5 5 1 0 2 1 3 2 -> 5 5 2 3 2 4 5 0 2 0 3 3 4 1 1 , 7.90/2.25 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.25 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.25 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.25 3 1 2 1 3 1 1 4 3 5 2 0 3 3 2 3 1 3 0 1 -> 0 4 3 5 1 4 2 4 0 5 3 2 4 1 5 5 1 , 7.90/2.25 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 16: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 2 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 3 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 23-rule system 7.90/2.25 { 0 1 1 2 -> 0 0 1 , 7.90/2.25 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.25 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.25 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.25 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.25 3 4 3 0 4 0 3 2 -> 5 1 5 4 2 , 7.90/2.25 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.25 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.25 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.25 1 2 4 4 4 5 5 0 2 2 -> 4 4 1 1 0 5 5 5 0 , 7.90/2.25 2 1 3 1 5 5 5 1 1 1 -> 5 4 2 3 5 4 2 2 1 , 7.90/2.25 2 0 3 1 1 0 2 5 3 3 2 3 -> 5 4 0 4 4 4 1 4 0 3 , 7.90/2.25 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.25 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.25 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.25 3 5 0 1 4 0 0 1 3 5 4 1 0 2 -> 1 1 4 1 1 5 0 3 0 0 4 5 0 , 7.90/2.25 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.25 2 1 3 0 5 1 2 2 5 5 1 0 2 1 3 2 -> 5 5 2 3 2 4 5 0 2 0 3 3 4 1 1 , 7.90/2.25 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.25 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.25 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.25 3 1 2 1 3 1 1 4 3 5 2 0 3 3 2 3 1 3 0 1 -> 0 4 3 5 1 4 2 4 0 5 3 2 4 1 5 5 1 , 7.90/2.25 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 18: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 2 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 3 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 22-rule system 7.90/2.25 { 0 1 1 2 -> 0 0 1 , 7.90/2.25 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.25 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.25 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.25 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.25 3 4 3 0 4 0 3 2 -> 5 1 5 4 2 , 7.90/2.25 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.25 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.25 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.25 1 2 4 4 4 5 5 0 2 2 -> 4 4 1 1 0 5 5 5 0 , 7.90/2.25 2 1 3 1 5 5 5 1 1 1 -> 5 4 2 3 5 4 2 2 1 , 7.90/2.25 2 0 3 1 1 0 2 5 3 3 2 3 -> 5 4 0 4 4 4 1 4 0 3 , 7.90/2.25 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.25 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.25 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.25 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.25 2 1 3 0 5 1 2 2 5 5 1 0 2 1 3 2 -> 5 5 2 3 2 4 5 0 2 0 3 3 4 1 1 , 7.90/2.25 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.25 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.25 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.25 3 1 2 1 3 1 1 4 3 5 2 0 3 3 2 3 1 3 0 1 -> 0 4 3 5 1 4 2 4 0 5 3 2 4 1 5 5 1 , 7.90/2.25 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 11: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 1 0 0 0 0 0 0 0 1 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 2 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 3 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 1 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 21-rule system 7.90/2.25 { 0 1 1 2 -> 0 0 1 , 7.90/2.25 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.25 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.25 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.25 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.25 3 4 3 0 4 0 3 2 -> 5 1 5 4 2 , 7.90/2.25 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.25 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.25 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.25 1 2 4 4 4 5 5 0 2 2 -> 4 4 1 1 0 5 5 5 0 , 7.90/2.25 2 0 3 1 1 0 2 5 3 3 2 3 -> 5 4 0 4 4 4 1 4 0 3 , 7.90/2.25 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.25 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.25 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.25 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.25 2 1 3 0 5 1 2 2 5 5 1 0 2 1 3 2 -> 5 5 2 3 2 4 5 0 2 0 3 3 4 1 1 , 7.90/2.25 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.25 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.25 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.25 3 1 2 1 3 1 1 4 3 5 2 0 3 3 2 3 1 3 0 1 -> 0 4 3 5 1 4 2 4 0 5 3 2 4 1 5 5 1 , 7.90/2.25 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 17: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 2 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 3 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 20-rule system 7.90/2.25 { 0 1 1 2 -> 0 0 1 , 7.90/2.25 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.25 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.25 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.25 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.25 3 4 3 0 4 0 3 2 -> 5 1 5 4 2 , 7.90/2.25 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.25 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.25 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.25 1 2 4 4 4 5 5 0 2 2 -> 4 4 1 1 0 5 5 5 0 , 7.90/2.25 2 0 3 1 1 0 2 5 3 3 2 3 -> 5 4 0 4 4 4 1 4 0 3 , 7.90/2.25 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.25 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.25 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.25 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.25 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.25 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.25 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.25 3 1 2 1 3 1 1 4 3 5 2 0 3 3 2 3 1 3 0 1 -> 0 4 3 5 1 4 2 4 0 5 3 2 4 1 5 5 1 , 7.90/2.25 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 9: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 2 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 3 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 1 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 19-rule system 7.90/2.25 { 0 1 1 2 -> 0 0 1 , 7.90/2.25 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.25 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.25 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.25 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.25 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.25 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.25 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.25 1 2 4 4 4 5 5 0 2 2 -> 4 4 1 1 0 5 5 5 0 , 7.90/2.25 2 0 3 1 1 0 2 5 3 3 2 3 -> 5 4 0 4 4 4 1 4 0 3 , 7.90/2.25 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.25 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.25 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.25 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.25 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.25 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.25 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.25 3 1 2 1 3 1 1 4 3 5 2 0 3 3 2 3 1 3 0 1 -> 0 4 3 5 1 4 2 4 0 5 3 2 4 1 5 5 1 , 7.90/2.25 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 45: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 18-rule system 7.90/2.25 { 0 1 1 2 -> 0 0 1 , 7.90/2.25 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.25 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.25 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.25 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.25 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.25 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.25 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.25 1 2 4 4 4 5 5 0 2 2 -> 4 4 1 1 0 5 5 5 0 , 7.90/2.25 2 0 3 1 1 0 2 5 3 3 2 3 -> 5 4 0 4 4 4 1 4 0 3 , 7.90/2.25 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.25 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.25 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.25 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.25 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.25 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.25 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.25 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 11: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 2 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 1 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 3 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 1 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 17-rule system 7.90/2.25 { 0 1 1 2 -> 0 0 1 , 7.90/2.25 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.25 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.25 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.25 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.25 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.25 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.25 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.25 2 0 3 1 1 0 2 5 3 3 2 3 -> 5 4 0 4 4 4 1 4 0 3 , 7.90/2.25 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.25 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.25 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.25 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.25 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.25 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.25 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.25 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.25 7.90/2.25 7.90/2.25 The system was filtered by the following matrix interpretation 7.90/2.25 of type E_J with J = {1,...,2} and dimension 31: 7.90/2.25 7.90/2.25 0 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 1 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 2 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 3 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 4 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 5 is interpreted by 7.90/2.25 / \ 7.90/2.25 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7.90/2.25 \ / 7.90/2.25 7.90/2.25 Remains to prove termination of the 16-rule system 7.90/2.26 { 0 1 1 2 -> 0 0 1 , 7.90/2.26 1 2 3 3 4 5 -> 4 0 0 1 5 , 7.90/2.26 4 4 3 4 3 1 3 -> 0 1 3 1 4 4 , 7.90/2.26 5 2 5 2 5 1 1 -> 5 4 5 5 1 , 7.90/2.26 1 0 5 5 5 3 4 1 -> 4 3 0 3 4 3 0 5 0 , 7.90/2.26 0 5 3 2 3 1 5 4 4 -> 0 0 4 4 1 0 3 4 , 7.90/2.26 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.26 5 3 2 1 1 2 1 5 3 -> 5 1 4 3 3 5 0 4 , 7.90/2.26 3 4 1 1 4 0 1 2 2 4 5 3 2 -> 5 3 1 3 4 5 4 0 3 0 1 , 7.90/2.26 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.26 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.26 0 0 2 2 5 0 3 0 4 0 4 0 2 3 1 5 -> 0 4 2 5 2 5 3 0 4 3 2 0 2 4 5 , 7.90/2.26 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.26 4 0 4 4 2 1 4 2 0 3 1 2 5 5 5 5 3 1 2 -> 3 5 4 4 2 0 4 4 4 0 1 0 2 4 0 4 1 5 , 7.90/2.26 1 1 0 1 1 4 5 0 4 1 3 0 4 4 0 5 5 0 2 0 -> 4 0 5 3 5 3 2 2 5 3 5 1 2 4 2 4 5 0 5 5 , 7.90/2.26 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.26 7.90/2.26 7.90/2.26 The system was filtered by the following matrix interpretation 7.90/2.26 of type E_J with J = {1,...,2} and dimension 2: 7.90/2.26 7.90/2.26 0 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 8 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 1 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 11 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 2 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 5 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 3 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 6 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 4 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 9 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 5 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 12 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 7.90/2.26 Remains to prove termination of the 5-rule system 7.90/2.26 { 1 0 4 3 5 2 1 0 1 -> 1 4 2 0 1 1 3 4 1 , 7.90/2.26 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.26 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.26 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 , 7.90/2.26 5 0 1 3 4 2 1 3 1 4 2 0 0 2 3 2 5 2 2 4 -> 5 4 1 5 5 0 1 3 1 2 1 1 2 4 3 2 5 } 7.90/2.26 7.90/2.26 7.90/2.26 The system was filtered by the following matrix interpretation 7.90/2.26 of type E_J with J = {1,...,2} and dimension 2: 7.90/2.26 7.90/2.26 0 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 2 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 1 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 0 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 2 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 0 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 3 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 0 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 4 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 1 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 5 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 1 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 7.90/2.26 Remains to prove termination of the 3-rule system 7.90/2.26 { 1 2 0 3 1 0 4 3 3 0 3 0 5 3 -> 4 2 0 5 3 3 4 4 3 1 5 0 4 , 7.90/2.26 1 5 4 4 3 2 4 0 1 5 2 0 5 2 -> 1 5 5 2 2 2 4 0 0 5 3 3 2 2 2 0 , 7.90/2.26 1 5 0 0 1 4 5 3 5 4 1 0 1 2 1 2 0 -> 1 4 0 1 3 5 3 3 4 1 0 4 3 3 0 5 1 0 } 7.90/2.26 7.90/2.26 7.90/2.26 The system was filtered by the following matrix interpretation 7.90/2.26 of type E_J with J = {1,...,2} and dimension 2: 7.90/2.26 7.90/2.26 0 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 0 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 1 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 1 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 2 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 0 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 3 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 0 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 4 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 0 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 5 is interpreted by 7.90/2.26 / \ 7.90/2.26 | 1 0 | 7.90/2.26 | 0 1 | 7.90/2.26 \ / 7.90/2.26 7.90/2.26 Remains to prove termination of the 0-rule system 7.90/2.26 { } 7.90/2.26 7.90/2.26 7.90/2.26 The system is trivially terminating. 8.11/2.37 EOF