8.46/2.42 YES 8.96/2.51 8.96/2.51 8.96/2.51 Applying context closure of depth 1 in the following form: System R over Sigma 8.96/2.51 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 8.96/2.51 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 8.96/2.51 8.96/2.51 Remains to prove termination of the 99-rule system 8.96/2.51 { [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [0, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [0, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.51 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.51 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] } 8.96/2.52 8.96/2.52 8.96/2.52 8.96/2.52 The system was filtered by the following matrix interpretation 8.96/2.52 of type E_J with J = {1,...,2} and dimension 2: 8.96/2.52 8.96/2.52 [0, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 1 | 8.96/2.52 | 0 1 | 8.96/2.52 \ / 8.96/2.52 [0, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 | 8.96/2.52 | 0 1 | 8.96/2.52 \ / 8.96/2.52 [1, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 | 8.96/2.52 | 0 1 | 8.96/2.52 \ / 8.96/2.52 [2, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 | 8.96/2.52 | 0 1 | 8.96/2.52 \ / 8.96/2.52 [1, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 | 8.96/2.52 | 0 1 | 8.96/2.52 \ / 8.96/2.52 [1, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 | 8.96/2.52 | 0 1 | 8.96/2.52 \ / 8.96/2.52 [2, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 | 8.96/2.52 | 0 1 | 8.96/2.52 \ / 8.96/2.52 [2, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 | 8.96/2.52 | 0 1 | 8.96/2.52 \ / 8.96/2.52 8.96/2.52 Remains to prove termination of the 66-rule system 8.96/2.52 { [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] } 8.96/2.52 8.96/2.52 8.96/2.52 The system was filtered by the following matrix interpretation 8.96/2.52 of type E_J with J = {1,...,2} and dimension 6: 8.96/2.52 8.96/2.52 [0, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [0, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 1 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 1 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 1 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 1 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 8.96/2.52 Remains to prove termination of the 55-rule system 8.96/2.52 { [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] } 8.96/2.52 8.96/2.52 8.96/2.52 The system was filtered by the following matrix interpretation 8.96/2.52 of type E_J with J = {1,...,2} and dimension 6: 8.96/2.52 8.96/2.52 [0, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [0, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 1 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 1 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 1 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 1 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 8.96/2.52 Remains to prove termination of the 44-rule system 8.96/2.52 { [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 0] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] } 8.96/2.52 8.96/2.52 8.96/2.52 The system was filtered by the following matrix interpretation 8.96/2.52 of type E_J with J = {1,...,2} and dimension 6: 8.96/2.52 8.96/2.52 [0, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [0, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 1 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 1 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 1 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 1 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 1 | 8.96/2.52 \ / 8.96/2.52 [2, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 1 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 8.96/2.52 Remains to prove termination of the 33-rule system 8.96/2.52 { [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 1] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 1] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] } 8.96/2.52 8.96/2.52 8.96/2.52 The system was filtered by the following matrix interpretation 8.96/2.52 of type E_J with J = {1,...,2} and dimension 6: 8.96/2.52 8.96/2.52 [0, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [0, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 1 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 1 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 1 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 1 | 8.96/2.52 \ / 8.96/2.52 [2, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 1 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 8.96/2.52 Remains to prove termination of the 22-rule system 8.96/2.52 { [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [1, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [1, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] } 8.96/2.52 8.96/2.52 8.96/2.52 The system was filtered by the following matrix interpretation 8.96/2.52 of type E_J with J = {1,...,2} and dimension 6: 8.96/2.52 8.96/2.52 [0, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [0, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 1 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 1 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 1 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 1 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 1 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 8.96/2.52 Remains to prove termination of the 11-rule system 8.96/2.52 { [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] , 8.96/2.52 [2, 0] [0, 1] [1, 2] [2, 1] [1, 2] -> [2, 1] [1, 2] [2, 1] [1, 1] [1, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 0] [0, 1] [1, 2] [2, 2] } 8.96/2.52 8.96/2.52 8.96/2.52 The system was filtered by the following matrix interpretation 8.96/2.52 of type E_J with J = {1,...,2} and dimension 6: 8.96/2.52 8.96/2.52 [0, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [0, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 1 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 1 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 1 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [1, 1] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 0] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 1 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 1 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 [2, 2] is interpreted by 8.96/2.52 / \ 8.96/2.52 | 1 0 0 0 0 0 | 8.96/2.52 | 0 1 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 | 0 0 0 0 0 0 | 8.96/2.52 \ / 8.96/2.52 8.96/2.52 Remains to prove termination of the 0-rule system 8.96/2.52 { } 8.96/2.52 8.96/2.52 8.96/2.52 The system is trivially terminating. 9.11/2.60 EOF