21.80/5.80 YES 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 12: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 38-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 4 1 1 3 -> 4 4 5 1 4 0 2 0 3 3 , 22.32/5.96 4 4 1 3 -> 5 1 1 4 5 5 3 3 2 3 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 22.32/5.96 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 1 4 0 0 2 5 0 -> 1 0 3 2 2 2 1 0 5 0 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 2 0 4 0 4 3 0 -> 3 1 3 3 4 5 2 3 0 3 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 37-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 4 1 1 3 -> 4 4 5 1 4 0 2 0 3 3 , 22.32/5.96 4 4 1 3 -> 5 1 1 4 5 5 3 3 2 3 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 22.32/5.96 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 2 0 4 0 4 3 0 -> 3 1 3 3 4 5 2 3 0 3 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 14: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 36-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 4 1 1 3 -> 4 4 5 1 4 0 2 0 3 3 , 22.32/5.96 4 4 1 3 -> 5 1 1 4 5 5 3 3 2 3 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 22.32/5.96 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 16: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 35-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 4 4 1 3 -> 5 1 1 4 5 5 3 3 2 3 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 22.32/5.96 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 16: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 34-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 22.32/5.96 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 33-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 22.32/5.96 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 1 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 32-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 6: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 31-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 30-rule system 22.32/5.96 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 22.32/5.96 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 22.32/5.96 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 4: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 | 22.32/5.96 | 0 1 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 | 22.32/5.96 | 0 1 0 0 | 22.32/5.96 | 0 0 0 1 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 | 22.32/5.96 | 0 1 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 | 0 1 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 | 22.32/5.96 | 0 1 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 | 22.32/5.96 | 0 1 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 | 22.32/5.96 | 0 1 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 | 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 25-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 24-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 7: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 1 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 23-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 13: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 22-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 7: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 1 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 21-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 1 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 20-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 12: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 19-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 18-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 22.32/5.96 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 | 22.32/5.96 | 0 0 1 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 1 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 0 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 3 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 22.32/5.96 Remains to prove termination of the 17-rule system 22.32/5.96 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.96 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.96 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.96 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.96 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.96 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.96 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.96 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.96 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.96 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.96 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.96 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.96 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.96 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 22.32/5.96 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.96 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.96 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.96 22.32/5.96 22.32/5.96 The system was filtered by the following matrix interpretation 22.32/5.96 of type E_J with J = {1,...,2} and dimension 13: 22.32/5.96 22.32/5.96 5 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 4 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 1 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 \ / 22.32/5.96 2 is interpreted by 22.32/5.96 / \ 22.32/5.96 | 1 0 1 1 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.96 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 16-rule system 22.32/5.97 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.97 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.97 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 22.32/5.97 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.97 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 18: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 15-rule system 22.32/5.97 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.97 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.97 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 22.32/5.97 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 18: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 14-rule system 22.32/5.97 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.97 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.97 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 13-rule system 22.32/5.97 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.97 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.97 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 12-rule system 22.32/5.97 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.97 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 22.32/5.97 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 7: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 11-rule system 22.32/5.97 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.97 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 7: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 10-rule system 22.32/5.97 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 22.32/5.97 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 18: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 9-rule system 22.32/5.97 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 8-rule system 22.32/5.97 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 22.32/5.97 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 6: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 7-rule system 22.32/5.97 { 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 22.32/5.97 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 6-rule system 22.32/5.97 { 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 22.32/5.97 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 13: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 5-rule system 22.32/5.97 { 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 22.32/5.97 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 8: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 1 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 1 0 0 | 22.32/5.97 | 0 0 0 0 0 0 1 0 | 22.32/5.97 | 0 0 0 0 0 0 0 1 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 1 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 1 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 0 0 0 0 0 0 0 | 22.32/5.97 | 0 1 0 0 0 0 0 0 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 4-rule system 22.32/5.97 { 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 22.32/5.97 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 22.32/5.97 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 22.32/5.97 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 2: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 1 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 1 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 1-rule system 22.32/5.97 { 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 } 22.32/5.97 22.32/5.97 22.32/5.97 The system was filtered by the following matrix interpretation 22.32/5.97 of type E_J with J = {1,...,2} and dimension 2: 22.32/5.97 22.32/5.97 5 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 4 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 1 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 1 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 2 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 0 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 3 is interpreted by 22.32/5.97 / \ 22.32/5.97 | 1 0 | 22.32/5.97 | 0 1 | 22.32/5.97 \ / 22.32/5.97 22.32/5.97 Remains to prove termination of the 0-rule system 22.32/5.97 { } 22.32/5.97 22.32/5.97 22.32/5.97 The system is trivially terminating. 22.49/6.15 EOF