3.42/1.06 YES 3.74/1.19 3.74/1.19 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 2: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 1 | 3.74/1.19 | 0 1 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 2 | 3.74/1.19 | 0 1 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 | 3.74/1.19 | 0 1 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 10-rule system 3.74/1.19 { 0 1 0 2 0 0 0 2 1 0 0 2 1 2 2 2 -> 0 2 1 2 2 0 1 2 0 0 0 0 0 1 2 2 , 3.74/1.19 0 2 0 1 0 2 0 0 2 0 0 2 2 0 0 2 2 0 -> 0 2 0 1 0 2 2 2 0 0 0 2 0 0 0 2 2 0 , 3.74/1.19 0 1 2 0 0 1 1 2 0 2 0 2 0 2 2 0 0 0 2 0 1 -> 0 1 2 0 2 0 0 0 1 2 2 2 0 0 2 2 0 1 0 0 1 , 3.74/1.19 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 1 2 1 0 2 2 2 2 1 0 0 2 0 1 0 1 0 1 2 2 2 2 1 0 -> 1 2 0 1 2 2 2 0 2 0 0 2 1 1 2 2 0 1 1 1 2 2 0 0 , 3.74/1.19 0 2 0 0 0 2 2 0 2 0 2 0 2 0 0 1 0 0 2 2 2 1 1 0 0 -> 0 2 0 0 1 0 1 2 2 2 2 0 0 2 0 2 0 1 2 2 0 0 0 0 0 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 , 3.74/1.19 2 2 1 1 2 0 2 1 1 2 0 1 2 0 2 1 1 0 1 2 2 2 1 0 1 0 1 1 0 -> 1 2 1 1 0 0 2 1 2 2 2 0 1 1 1 2 2 0 0 2 2 2 1 1 1 1 1 0 0 , 3.74/1.19 0 2 2 1 0 0 2 2 1 1 0 2 0 1 1 0 0 2 2 2 0 0 0 0 1 0 1 2 2 1 -> 0 2 1 1 1 0 2 0 2 1 2 2 0 2 0 0 0 0 0 1 2 2 0 1 1 0 2 2 0 1 , 3.74/1.19 1 0 2 0 1 1 1 1 1 0 2 0 1 1 0 0 1 2 0 0 0 2 0 0 2 1 1 0 0 0 -> 1 1 0 2 0 1 1 2 2 0 2 1 1 1 1 1 0 0 0 1 0 2 0 1 0 0 0 0 0 0 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 19: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 9-rule system 3.74/1.19 { 0 1 0 2 0 0 0 2 1 0 0 2 1 2 2 2 -> 0 2 1 2 2 0 1 2 0 0 0 0 0 1 2 2 , 3.74/1.19 0 1 2 0 0 1 1 2 0 2 0 2 0 2 2 0 0 0 2 0 1 -> 0 1 2 0 2 0 0 0 1 2 2 2 0 0 2 2 0 1 0 0 1 , 3.74/1.19 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 1 2 1 0 2 2 2 2 1 0 0 2 0 1 0 1 0 1 2 2 2 2 1 0 -> 1 2 0 1 2 2 2 0 2 0 0 2 1 1 2 2 0 1 1 1 2 2 0 0 , 3.74/1.19 0 2 0 0 0 2 2 0 2 0 2 0 2 0 0 1 0 0 2 2 2 1 1 0 0 -> 0 2 0 0 1 0 1 2 2 2 2 0 0 2 0 2 0 1 2 2 0 0 0 0 0 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 , 3.74/1.19 2 2 1 1 2 0 2 1 1 2 0 1 2 0 2 1 1 0 1 2 2 2 1 0 1 0 1 1 0 -> 1 2 1 1 0 0 2 1 2 2 2 0 1 1 1 2 2 0 0 2 2 2 1 1 1 1 1 0 0 , 3.74/1.19 0 2 2 1 0 0 2 2 1 1 0 2 0 1 1 0 0 2 2 2 0 0 0 0 1 0 1 2 2 1 -> 0 2 1 1 1 0 2 0 2 1 2 2 0 2 0 0 0 0 0 1 2 2 0 1 1 0 2 2 0 1 , 3.74/1.19 1 0 2 0 1 1 1 1 1 0 2 0 1 1 0 0 1 2 0 0 0 2 0 0 2 1 1 0 0 0 -> 1 1 0 2 0 1 1 2 2 0 2 1 1 1 1 1 0 0 0 1 0 2 0 1 0 0 0 0 0 0 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 25: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 8-rule system 3.74/1.19 { 0 1 0 2 0 0 0 2 1 0 0 2 1 2 2 2 -> 0 2 1 2 2 0 1 2 0 0 0 0 0 1 2 2 , 3.74/1.19 0 1 2 0 0 1 1 2 0 2 0 2 0 2 2 0 0 0 2 0 1 -> 0 1 2 0 2 0 0 0 1 2 2 2 0 0 2 2 0 1 0 0 1 , 3.74/1.19 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 0 2 0 0 0 2 2 0 2 0 2 0 2 0 0 1 0 0 2 2 2 1 1 0 0 -> 0 2 0 0 1 0 1 2 2 2 2 0 0 2 0 2 0 1 2 2 0 0 0 0 0 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 , 3.74/1.19 2 2 1 1 2 0 2 1 1 2 0 1 2 0 2 1 1 0 1 2 2 2 1 0 1 0 1 1 0 -> 1 2 1 1 0 0 2 1 2 2 2 0 1 1 1 2 2 0 0 2 2 2 1 1 1 1 1 0 0 , 3.74/1.19 0 2 2 1 0 0 2 2 1 1 0 2 0 1 1 0 0 2 2 2 0 0 0 0 1 0 1 2 2 1 -> 0 2 1 1 1 0 2 0 2 1 2 2 0 2 0 0 0 0 0 1 2 2 0 1 1 0 2 2 0 1 , 3.74/1.19 1 0 2 0 1 1 1 1 1 0 2 0 1 1 0 0 1 2 0 0 0 2 0 0 2 1 1 0 0 0 -> 1 1 0 2 0 1 1 2 2 0 2 1 1 1 1 1 0 0 0 1 0 2 0 1 0 0 0 0 0 0 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 26: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 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 | 3.74/1.19 | 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 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 7-rule system 3.74/1.19 { 0 1 0 2 0 0 0 2 1 0 0 2 1 2 2 2 -> 0 2 1 2 2 0 1 2 0 0 0 0 0 1 2 2 , 3.74/1.19 0 1 2 0 0 1 1 2 0 2 0 2 0 2 2 0 0 0 2 0 1 -> 0 1 2 0 2 0 0 0 1 2 2 2 0 0 2 2 0 1 0 0 1 , 3.74/1.19 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 , 3.74/1.19 2 2 1 1 2 0 2 1 1 2 0 1 2 0 2 1 1 0 1 2 2 2 1 0 1 0 1 1 0 -> 1 2 1 1 0 0 2 1 2 2 2 0 1 1 1 2 2 0 0 2 2 2 1 1 1 1 1 0 0 , 3.74/1.19 0 2 2 1 0 0 2 2 1 1 0 2 0 1 1 0 0 2 2 2 0 0 0 0 1 0 1 2 2 1 -> 0 2 1 1 1 0 2 0 2 1 2 2 0 2 0 0 0 0 0 1 2 2 0 1 1 0 2 2 0 1 , 3.74/1.19 1 0 2 0 1 1 1 1 1 0 2 0 1 1 0 0 1 2 0 0 0 2 0 0 2 1 1 0 0 0 -> 1 1 0 2 0 1 1 2 2 0 2 1 1 1 1 1 0 0 0 1 0 2 0 1 0 0 0 0 0 0 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 31: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 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 | 3.74/1.19 | 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 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 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 | 3.74/1.19 | 0 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 6-rule system 3.74/1.19 { 0 1 0 2 0 0 0 2 1 0 0 2 1 2 2 2 -> 0 2 1 2 2 0 1 2 0 0 0 0 0 1 2 2 , 3.74/1.19 0 1 2 0 0 1 1 2 0 2 0 2 0 2 2 0 0 0 2 0 1 -> 0 1 2 0 2 0 0 0 1 2 2 2 0 0 2 2 0 1 0 0 1 , 3.74/1.19 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 , 3.74/1.19 2 2 1 1 2 0 2 1 1 2 0 1 2 0 2 1 1 0 1 2 2 2 1 0 1 0 1 1 0 -> 1 2 1 1 0 0 2 1 2 2 2 0 1 1 1 2 2 0 0 2 2 2 1 1 1 1 1 0 0 , 3.74/1.19 0 2 2 1 0 0 2 2 1 1 0 2 0 1 1 0 0 2 2 2 0 0 0 0 1 0 1 2 2 1 -> 0 2 1 1 1 0 2 0 2 1 2 2 0 2 0 0 0 0 0 1 2 2 0 1 1 0 2 2 0 1 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 30: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 5-rule system 3.74/1.19 { 0 1 0 2 0 0 0 2 1 0 0 2 1 2 2 2 -> 0 2 1 2 2 0 1 2 0 0 0 0 0 1 2 2 , 3.74/1.19 0 1 2 0 0 1 1 2 0 2 0 2 0 2 2 0 0 0 2 0 1 -> 0 1 2 0 2 0 0 0 1 2 2 2 0 0 2 2 0 1 0 0 1 , 3.74/1.19 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 , 3.74/1.19 0 2 2 1 0 0 2 2 1 1 0 2 0 1 1 0 0 2 2 2 0 0 0 0 1 0 1 2 2 1 -> 0 2 1 1 1 0 2 0 2 1 2 2 0 2 0 0 0 0 0 1 2 2 0 1 1 0 2 2 0 1 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 31: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 4-rule system 3.74/1.19 { 0 1 0 2 0 0 0 2 1 0 0 2 1 2 2 2 -> 0 2 1 2 2 0 1 2 0 0 0 0 0 1 2 2 , 3.74/1.19 0 1 2 0 0 1 1 2 0 2 0 2 0 2 2 0 0 0 2 0 1 -> 0 1 2 0 2 0 0 0 1 2 2 2 0 0 2 2 0 1 0 0 1 , 3.74/1.19 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 17: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 3-rule system 3.74/1.19 { 0 1 2 0 0 1 1 2 0 2 0 2 0 2 2 0 0 0 2 0 1 -> 0 1 2 0 2 0 0 0 1 2 2 2 0 0 2 2 0 1 0 0 1 , 3.74/1.19 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 22: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 2-rule system 3.74/1.19 { 1 1 0 2 0 0 0 2 2 2 2 1 2 1 0 2 2 1 0 0 0 2 0 2 -> 1 1 2 2 0 0 0 2 2 2 2 2 0 0 0 1 2 1 0 1 0 2 0 2 , 3.74/1.19 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 25: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 1-rule system 3.74/1.19 { 2 2 2 2 2 2 0 2 1 0 0 1 1 0 1 1 2 1 0 1 1 0 0 0 2 1 1 2 -> 2 2 2 1 2 2 0 1 2 0 1 1 2 0 1 0 1 0 1 0 1 2 0 0 2 1 1 2 } 3.74/1.19 3.74/1.19 3.74/1.19 The system was filtered by the following matrix interpretation 3.74/1.19 of type E_J with J = {1,...,2} and dimension 29: 3.74/1.19 3.74/1.19 0 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 1 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 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 | 3.74/1.19 | 0 0 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 \ / 3.74/1.19 2 is interpreted by 3.74/1.19 / \ 3.74/1.19 | 1 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 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 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3.74/1.19 | 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 | 3.74/1.19 \ / 3.74/1.19 3.74/1.19 Remains to prove termination of the 0-rule system 3.74/1.19 { } 3.74/1.19 3.74/1.19 3.74/1.19 The system is trivially terminating. 3.95/1.28 EOF