9.26/2.60 YES 9.26/2.65 9.26/2.65 9.26/2.65 Applying context closure of depth 1 in the following form: System R over Sigma 9.26/2.65 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 9.26/2.65 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 9.26/2.65 9.26/2.65 Remains to prove termination of the 288-rule system 9.26/2.65 { [b, b] [b, b] [b, b] -> [b, c] [c, d] [d, b] , 9.26/2.65 [b, c] [c, c] [c, b] -> [b, d] [d, d] [d, d] [d, b] , 9.26/2.65 [b, c] [c, b] -> [b, g] [g, b] , 9.26/2.65 [b, d] [d, d] [d, b] -> [b, c] [c, f] [f, b] , 9.26/2.65 [b, d] [d, d] [d, d] [d, b] -> [b, g] [g, c] [c, b] , 9.26/2.65 [b, f] [f, b] -> [b, a] [a, g] [g, b] , 9.26/2.65 [b, g] [g, b] -> [b, d] [d, a] [a, b] [b, b] , 9.26/2.65 [b, g] [g, g] [g, b] -> [b, b] [b, c] [c, b] , 9.26/2.65 [b, b] [b, b] [b, c] -> [b, c] [c, d] [d, c] , 9.26/2.65 [b, c] [c, c] [c, c] -> [b, d] [d, d] [d, d] [d, c] , 9.26/2.65 [b, c] [c, c] -> [b, g] [g, c] , 9.26/2.65 [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.26/2.65 [b, d] [d, d] [d, d] [d, c] -> [b, g] [g, c] [c, c] , 9.26/2.65 [b, f] [f, c] -> [b, a] [a, g] [g, c] , 9.26/2.65 [b, g] [g, c] -> [b, d] [d, a] [a, b] [b, c] , 9.26/2.65 [b, g] [g, g] [g, c] -> [b, b] [b, c] [c, c] , 9.26/2.65 [b, b] [b, b] [b, d] -> [b, c] [c, d] [d, d] , 9.26/2.65 [b, c] [c, c] [c, d] -> [b, d] [d, d] [d, d] [d, d] , 9.26/2.65 [b, c] [c, d] -> [b, g] [g, d] , 9.26/2.65 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.26/2.65 [b, d] [d, d] [d, d] [d, d] -> [b, g] [g, c] [c, d] , 9.26/2.65 [b, f] [f, d] -> [b, a] [a, g] [g, d] , 9.26/2.65 [b, g] [g, d] -> [b, d] [d, a] [a, b] [b, d] , 9.26/2.65 [b, g] [g, g] [g, d] -> [b, b] [b, c] [c, d] , 9.26/2.65 [b, b] [b, b] [b, g] -> [b, c] [c, d] [d, g] , 9.26/2.65 [b, c] [c, c] [c, g] -> [b, d] [d, d] [d, d] [d, g] , 9.26/2.65 [b, c] [c, g] -> [b, g] [g, g] , 9.26/2.65 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.26/2.65 [b, d] [d, d] [d, d] [d, g] -> [b, g] [g, c] [c, g] , 9.26/2.65 [b, f] [f, g] -> [b, a] [a, g] [g, g] , 9.26/2.65 [b, g] [g, g] -> [b, d] [d, a] [a, b] [b, g] , 9.26/2.65 [b, g] [g, g] [g, g] -> [b, b] [b, c] [c, g] , 9.26/2.65 [b, b] [b, b] [b, f] -> [b, c] [c, d] [d, f] , 9.26/2.65 [b, c] [c, c] [c, f] -> [b, d] [d, d] [d, d] [d, f] , 9.26/2.65 [b, c] [c, f] -> [b, g] [g, f] , 9.26/2.65 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.26/2.65 [b, d] [d, d] [d, d] [d, f] -> [b, g] [g, c] [c, f] , 9.26/2.65 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.26/2.65 [b, g] [g, f] -> [b, d] [d, a] [a, b] [b, f] , 9.26/2.65 [b, g] [g, g] [g, f] -> [b, b] [b, c] [c, f] , 9.26/2.65 [b, b] [b, b] [b, a] -> [b, c] [c, d] [d, a] , 9.26/2.65 [b, c] [c, c] [c, a] -> [b, d] [d, d] [d, d] [d, a] , 9.26/2.65 [b, c] [c, a] -> [b, g] [g, a] , 9.26/2.65 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.26/2.65 [b, d] [d, d] [d, d] [d, a] -> [b, g] [g, c] [c, a] , 9.26/2.65 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.26/2.65 [b, g] [g, a] -> [b, d] [d, a] [a, b] [b, a] , 9.26/2.65 [b, g] [g, g] [g, a] -> [b, b] [b, c] [c, a] , 9.26/2.65 [c, b] [b, b] [b, b] -> [c, c] [c, d] [d, b] , 9.26/2.65 [c, c] [c, c] [c, b] -> [c, d] [d, d] [d, d] [d, b] , 9.26/2.65 [c, c] [c, b] -> [c, g] [g, b] , 9.26/2.65 [c, d] [d, d] [d, b] -> [c, c] [c, f] [f, b] , 9.26/2.65 [c, d] [d, d] [d, d] [d, b] -> [c, g] [g, c] [c, b] , 9.26/2.65 [c, f] [f, b] -> [c, a] [a, g] [g, b] , 9.26/2.65 [c, g] [g, b] -> [c, d] [d, a] [a, b] [b, b] , 9.26/2.65 [c, g] [g, g] [g, b] -> [c, b] [b, c] [c, b] , 9.26/2.65 [c, b] [b, b] [b, c] -> [c, c] [c, d] [d, c] , 9.26/2.65 [c, c] [c, c] [c, c] -> [c, d] [d, d] [d, d] [d, c] , 9.26/2.65 [c, c] [c, c] -> [c, g] [g, c] , 9.26/2.65 [c, d] [d, d] [d, c] -> [c, c] [c, f] [f, c] , 9.26/2.65 [c, d] [d, d] [d, d] [d, c] -> [c, g] [g, c] [c, c] , 9.26/2.65 [c, f] [f, c] -> [c, a] [a, g] [g, c] , 9.26/2.65 [c, g] [g, c] -> [c, d] [d, a] [a, b] [b, c] , 9.26/2.65 [c, g] [g, g] [g, c] -> [c, b] [b, c] [c, c] , 9.26/2.65 [c, b] [b, b] [b, d] -> [c, c] [c, d] [d, d] , 9.26/2.65 [c, c] [c, c] [c, d] -> [c, d] [d, d] [d, d] [d, d] , 9.26/2.65 [c, c] [c, d] -> [c, g] [g, d] , 9.26/2.65 [c, d] [d, d] [d, d] -> [c, c] [c, f] [f, d] , 9.26/2.65 [c, d] [d, d] [d, d] [d, d] -> [c, g] [g, c] [c, d] , 9.26/2.65 [c, f] [f, d] -> [c, a] [a, g] [g, d] , 9.26/2.65 [c, g] [g, d] -> [c, d] [d, a] [a, b] [b, d] , 9.26/2.65 [c, g] [g, g] [g, d] -> [c, b] [b, c] [c, d] , 9.26/2.65 [c, b] [b, b] [b, g] -> [c, c] [c, d] [d, g] , 9.26/2.65 [c, c] [c, c] [c, g] -> [c, d] [d, d] [d, d] [d, g] , 9.26/2.65 [c, c] [c, g] -> [c, g] [g, g] , 9.26/2.65 [c, d] [d, d] [d, g] -> [c, c] [c, f] [f, g] , 9.26/2.65 [c, d] [d, d] [d, d] [d, g] -> [c, g] [g, c] [c, g] , 9.26/2.65 [c, f] [f, g] -> [c, a] [a, g] [g, g] , 9.26/2.65 [c, g] [g, g] -> [c, d] [d, a] [a, b] [b, g] , 9.26/2.65 [c, g] [g, g] [g, g] -> [c, b] [b, c] [c, g] , 9.26/2.65 [c, b] [b, b] [b, f] -> [c, c] [c, d] [d, f] , 9.26/2.65 [c, c] [c, c] [c, f] -> [c, d] [d, d] [d, d] [d, f] , 9.26/2.65 [c, c] [c, f] -> [c, g] [g, f] , 9.26/2.65 [c, d] [d, d] [d, f] -> [c, c] [c, f] [f, f] , 9.26/2.65 [c, d] [d, d] [d, d] [d, f] -> [c, g] [g, c] [c, f] , 9.26/2.65 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.26/2.65 [c, g] [g, f] -> [c, d] [d, a] [a, b] [b, f] , 9.26/2.65 [c, g] [g, g] [g, f] -> [c, b] [b, c] [c, f] , 9.26/2.65 [c, b] [b, b] [b, a] -> [c, c] [c, d] [d, a] , 9.26/2.65 [c, c] [c, c] [c, a] -> [c, d] [d, d] [d, d] [d, a] , 9.26/2.65 [c, c] [c, a] -> [c, g] [g, a] , 9.26/2.65 [c, d] [d, d] [d, a] -> [c, c] [c, f] [f, a] , 9.26/2.65 [c, d] [d, d] [d, d] [d, a] -> [c, g] [g, c] [c, a] , 9.26/2.65 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.26/2.65 [c, g] [g, a] -> [c, d] [d, a] [a, b] [b, a] , 9.26/2.65 [c, g] [g, g] [g, a] -> [c, b] [b, c] [c, a] , 9.26/2.65 [d, b] [b, b] [b, b] -> [d, c] [c, d] [d, b] , 9.26/2.65 [d, c] [c, c] [c, b] -> [d, d] [d, d] [d, d] [d, b] , 9.26/2.65 [d, c] [c, b] -> [d, g] [g, b] , 9.26/2.65 [d, d] [d, d] [d, b] -> [d, c] [c, f] [f, b] , 9.26/2.65 [d, d] [d, d] [d, d] [d, b] -> [d, g] [g, c] [c, b] , 9.26/2.65 [d, f] [f, b] -> [d, a] [a, g] [g, b] , 9.26/2.65 [d, g] [g, b] -> [d, d] [d, a] [a, b] [b, b] , 9.26/2.65 [d, g] [g, g] [g, b] -> [d, b] [b, c] [c, b] , 9.26/2.65 [d, b] [b, b] [b, c] -> [d, c] [c, d] [d, c] , 9.26/2.65 [d, c] [c, c] [c, c] -> [d, d] [d, d] [d, d] [d, c] , 9.26/2.65 [d, c] [c, c] -> [d, g] [g, c] , 9.26/2.65 [d, d] [d, d] [d, c] -> [d, c] [c, f] [f, c] , 9.26/2.65 [d, d] [d, d] [d, d] [d, c] -> [d, g] [g, c] [c, c] , 9.26/2.65 [d, f] [f, c] -> [d, a] [a, g] [g, c] , 9.26/2.65 [d, g] [g, c] -> [d, d] [d, a] [a, b] [b, c] , 9.26/2.65 [d, g] [g, g] [g, c] -> [d, b] [b, c] [c, c] , 9.26/2.65 [d, b] [b, b] [b, d] -> [d, c] [c, d] [d, d] , 9.26/2.65 [d, c] [c, c] [c, d] -> [d, d] [d, d] [d, d] [d, d] , 9.26/2.65 [d, c] [c, d] -> [d, g] [g, d] , 9.26/2.65 [d, d] [d, d] [d, d] -> [d, c] [c, f] [f, d] , 9.26/2.65 [d, d] [d, d] [d, d] [d, d] -> [d, g] [g, c] [c, d] , 9.26/2.65 [d, f] [f, d] -> [d, a] [a, g] [g, d] , 9.26/2.65 [d, g] [g, d] -> [d, d] [d, a] [a, b] [b, d] , 9.26/2.65 [d, g] [g, g] [g, d] -> [d, b] [b, c] [c, d] , 9.26/2.65 [d, b] [b, b] [b, g] -> [d, c] [c, d] [d, g] , 9.26/2.65 [d, c] [c, c] [c, g] -> [d, d] [d, d] [d, d] [d, g] , 9.26/2.65 [d, c] [c, g] -> [d, g] [g, g] , 9.26/2.65 [d, d] [d, d] [d, g] -> [d, c] [c, f] [f, g] , 9.26/2.65 [d, d] [d, d] [d, d] [d, g] -> [d, g] [g, c] [c, g] , 9.26/2.65 [d, f] [f, g] -> [d, a] [a, g] [g, g] , 9.26/2.65 [d, g] [g, g] -> [d, d] [d, a] [a, b] [b, g] , 9.26/2.65 [d, g] [g, g] [g, g] -> [d, b] [b, c] [c, g] , 9.26/2.65 [d, b] [b, b] [b, f] -> [d, c] [c, d] [d, f] , 9.26/2.65 [d, c] [c, c] [c, f] -> [d, d] [d, d] [d, d] [d, f] , 9.26/2.65 [d, c] [c, f] -> [d, g] [g, f] , 9.26/2.65 [d, d] [d, d] [d, f] -> [d, c] [c, f] [f, f] , 9.26/2.65 [d, d] [d, d] [d, d] [d, f] -> [d, g] [g, c] [c, f] , 9.26/2.65 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.26/2.65 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.26/2.65 [d, g] [g, g] [g, f] -> [d, b] [b, c] [c, f] , 9.26/2.65 [d, b] [b, b] [b, a] -> [d, c] [c, d] [d, a] , 9.26/2.65 [d, c] [c, c] [c, a] -> [d, d] [d, d] [d, d] [d, a] , 9.26/2.65 [d, c] [c, a] -> [d, g] [g, a] , 9.26/2.65 [d, d] [d, d] [d, a] -> [d, c] [c, f] [f, a] , 9.26/2.65 [d, d] [d, d] [d, d] [d, a] -> [d, g] [g, c] [c, a] , 9.26/2.65 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.26/2.65 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.26/2.65 [d, g] [g, g] [g, a] -> [d, b] [b, c] [c, a] , 9.26/2.65 [g, b] [b, b] [b, b] -> [g, c] [c, d] [d, b] , 9.26/2.65 [g, c] [c, c] [c, b] -> [g, d] [d, d] [d, d] [d, b] , 9.26/2.65 [g, c] [c, b] -> [g, g] [g, b] , 9.26/2.65 [g, d] [d, d] [d, b] -> [g, c] [c, f] [f, b] , 9.26/2.65 [g, d] [d, d] [d, d] [d, b] -> [g, g] [g, c] [c, b] , 9.26/2.65 [g, f] [f, b] -> [g, a] [a, g] [g, b] , 9.26/2.65 [g, g] [g, b] -> [g, d] [d, a] [a, b] [b, b] , 9.26/2.65 [g, g] [g, g] [g, b] -> [g, b] [b, c] [c, b] , 9.26/2.65 [g, b] [b, b] [b, c] -> [g, c] [c, d] [d, c] , 9.26/2.65 [g, c] [c, c] [c, c] -> [g, d] [d, d] [d, d] [d, c] , 9.26/2.65 [g, c] [c, c] -> [g, g] [g, c] , 9.26/2.65 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.26/2.65 [g, d] [d, d] [d, d] [d, c] -> [g, g] [g, c] [c, c] , 9.26/2.65 [g, f] [f, c] -> [g, a] [a, g] [g, c] , 9.26/2.65 [g, g] [g, c] -> [g, d] [d, a] [a, b] [b, c] , 9.26/2.65 [g, g] [g, g] [g, c] -> [g, b] [b, c] [c, c] , 9.26/2.65 [g, b] [b, b] [b, d] -> [g, c] [c, d] [d, d] , 9.26/2.65 [g, c] [c, c] [c, d] -> [g, d] [d, d] [d, d] [d, d] , 9.26/2.65 [g, c] [c, d] -> [g, g] [g, d] , 9.26/2.65 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.26/2.65 [g, d] [d, d] [d, d] [d, d] -> [g, g] [g, c] [c, d] , 9.26/2.65 [g, f] [f, d] -> [g, a] [a, g] [g, d] , 9.26/2.65 [g, g] [g, d] -> [g, d] [d, a] [a, b] [b, d] , 9.26/2.65 [g, g] [g, g] [g, d] -> [g, b] [b, c] [c, d] , 9.26/2.65 [g, b] [b, b] [b, g] -> [g, c] [c, d] [d, g] , 9.26/2.65 [g, c] [c, c] [c, g] -> [g, d] [d, d] [d, d] [d, g] , 9.26/2.65 [g, c] [c, g] -> [g, g] [g, g] , 9.26/2.65 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.26/2.65 [g, d] [d, d] [d, d] [d, g] -> [g, g] [g, c] [c, g] , 9.26/2.65 [g, f] [f, g] -> [g, a] [a, g] [g, g] , 9.26/2.65 [g, g] [g, g] -> [g, d] [d, a] [a, b] [b, g] , 9.26/2.65 [g, g] [g, g] [g, g] -> [g, b] [b, c] [c, g] , 9.26/2.65 [g, b] [b, b] [b, f] -> [g, c] [c, d] [d, f] , 9.26/2.65 [g, c] [c, c] [c, f] -> [g, d] [d, d] [d, d] [d, f] , 9.26/2.65 [g, c] [c, f] -> [g, g] [g, f] , 9.26/2.65 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.26/2.65 [g, d] [d, d] [d, d] [d, f] -> [g, g] [g, c] [c, f] , 9.26/2.65 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.26/2.65 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.26/2.65 [g, g] [g, g] [g, f] -> [g, b] [b, c] [c, f] , 9.26/2.65 [g, b] [b, b] [b, a] -> [g, c] [c, d] [d, a] , 9.26/2.65 [g, c] [c, c] [c, a] -> [g, d] [d, d] [d, d] [d, a] , 9.26/2.66 [g, c] [c, a] -> [g, g] [g, a] , 9.26/2.66 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.26/2.66 [g, d] [d, d] [d, d] [d, a] -> [g, g] [g, c] [c, a] , 9.26/2.66 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.26/2.66 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.26/2.66 [g, g] [g, g] [g, a] -> [g, b] [b, c] [c, a] , 9.26/2.66 [f, b] [b, b] [b, b] -> [f, c] [c, d] [d, b] , 9.26/2.66 [f, c] [c, c] [c, b] -> [f, d] [d, d] [d, d] [d, b] , 9.26/2.66 [f, c] [c, b] -> [f, g] [g, b] , 9.26/2.66 [f, d] [d, d] [d, b] -> [f, c] [c, f] [f, b] , 9.26/2.66 [f, d] [d, d] [d, d] [d, b] -> [f, g] [g, c] [c, b] , 9.26/2.66 [f, f] [f, b] -> [f, a] [a, g] [g, b] , 9.26/2.66 [f, g] [g, b] -> [f, d] [d, a] [a, b] [b, b] , 9.26/2.66 [f, g] [g, g] [g, b] -> [f, b] [b, c] [c, b] , 9.26/2.66 [f, b] [b, b] [b, c] -> [f, c] [c, d] [d, c] , 9.26/2.66 [f, c] [c, c] [c, c] -> [f, d] [d, d] [d, d] [d, c] , 9.26/2.66 [f, c] [c, c] -> [f, g] [g, c] , 9.26/2.66 [f, d] [d, d] [d, c] -> [f, c] [c, f] [f, c] , 9.26/2.66 [f, d] [d, d] [d, d] [d, c] -> [f, g] [g, c] [c, c] , 9.26/2.66 [f, f] [f, c] -> [f, a] [a, g] [g, c] , 9.26/2.66 [f, g] [g, c] -> [f, d] [d, a] [a, b] [b, c] , 9.26/2.66 [f, g] [g, g] [g, c] -> [f, b] [b, c] [c, c] , 9.26/2.66 [f, b] [b, b] [b, d] -> [f, c] [c, d] [d, d] , 9.26/2.66 [f, c] [c, c] [c, d] -> [f, d] [d, d] [d, d] [d, d] , 9.26/2.66 [f, c] [c, d] -> [f, g] [g, d] , 9.26/2.66 [f, d] [d, d] [d, d] -> [f, c] [c, f] [f, d] , 9.26/2.66 [f, d] [d, d] [d, d] [d, d] -> [f, g] [g, c] [c, d] , 9.26/2.66 [f, f] [f, d] -> [f, a] [a, g] [g, d] , 9.26/2.66 [f, g] [g, d] -> [f, d] [d, a] [a, b] [b, d] , 9.26/2.66 [f, g] [g, g] [g, d] -> [f, b] [b, c] [c, d] , 9.26/2.66 [f, b] [b, b] [b, g] -> [f, c] [c, d] [d, g] , 9.26/2.66 [f, c] [c, c] [c, g] -> [f, d] [d, d] [d, d] [d, g] , 9.26/2.66 [f, c] [c, g] -> [f, g] [g, g] , 9.26/2.66 [f, d] [d, d] [d, g] -> [f, c] [c, f] [f, g] , 9.26/2.66 [f, d] [d, d] [d, d] [d, g] -> [f, g] [g, c] [c, g] , 9.26/2.66 [f, f] [f, g] -> [f, a] [a, g] [g, g] , 9.26/2.66 [f, g] [g, g] -> [f, d] [d, a] [a, b] [b, g] , 9.26/2.66 [f, g] [g, g] [g, g] -> [f, b] [b, c] [c, g] , 9.26/2.66 [f, b] [b, b] [b, f] -> [f, c] [c, d] [d, f] , 9.26/2.66 [f, c] [c, c] [c, f] -> [f, d] [d, d] [d, d] [d, f] , 9.26/2.66 [f, c] [c, f] -> [f, g] [g, f] , 9.26/2.66 [f, d] [d, d] [d, f] -> [f, c] [c, f] [f, f] , 9.26/2.66 [f, d] [d, d] [d, d] [d, f] -> [f, g] [g, c] [c, f] , 9.26/2.66 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.26/2.66 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.26/2.66 [f, g] [g, g] [g, f] -> [f, b] [b, c] [c, f] , 9.26/2.66 [f, b] [b, b] [b, a] -> [f, c] [c, d] [d, a] , 9.26/2.66 [f, c] [c, c] [c, a] -> [f, d] [d, d] [d, d] [d, a] , 9.26/2.66 [f, c] [c, a] -> [f, g] [g, a] , 9.26/2.66 [f, d] [d, d] [d, a] -> [f, c] [c, f] [f, a] , 9.26/2.66 [f, d] [d, d] [d, d] [d, a] -> [f, g] [g, c] [c, a] , 9.26/2.66 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.26/2.66 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.26/2.66 [f, g] [g, g] [g, a] -> [f, b] [b, c] [c, a] , 9.26/2.66 [a, b] [b, b] [b, b] -> [a, c] [c, d] [d, b] , 9.26/2.66 [a, c] [c, c] [c, b] -> [a, d] [d, d] [d, d] [d, b] , 9.26/2.66 [a, c] [c, b] -> [a, g] [g, b] , 9.26/2.66 [a, d] [d, d] [d, b] -> [a, c] [c, f] [f, b] , 9.26/2.66 [a, d] [d, d] [d, d] [d, b] -> [a, g] [g, c] [c, b] , 9.26/2.66 [a, f] [f, b] -> [a, a] [a, g] [g, b] , 9.26/2.66 [a, g] [g, b] -> [a, d] [d, a] [a, b] [b, b] , 9.26/2.66 [a, g] [g, g] [g, b] -> [a, b] [b, c] [c, b] , 9.26/2.66 [a, b] [b, b] [b, c] -> [a, c] [c, d] [d, c] , 9.26/2.66 [a, c] [c, c] [c, c] -> [a, d] [d, d] [d, d] [d, c] , 9.26/2.66 [a, c] [c, c] -> [a, g] [g, c] , 9.26/2.66 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.26/2.66 [a, d] [d, d] [d, d] [d, c] -> [a, g] [g, c] [c, c] , 9.26/2.66 [a, f] [f, c] -> [a, a] [a, g] [g, c] , 9.26/2.66 [a, g] [g, c] -> [a, d] [d, a] [a, b] [b, c] , 9.26/2.66 [a, g] [g, g] [g, c] -> [a, b] [b, c] [c, c] , 9.26/2.66 [a, b] [b, b] [b, d] -> [a, c] [c, d] [d, d] , 9.26/2.66 [a, c] [c, c] [c, d] -> [a, d] [d, d] [d, d] [d, d] , 9.26/2.66 [a, c] [c, d] -> [a, g] [g, d] , 9.26/2.66 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.26/2.66 [a, d] [d, d] [d, d] [d, d] -> [a, g] [g, c] [c, d] , 9.26/2.66 [a, f] [f, d] -> [a, a] [a, g] [g, d] , 9.26/2.66 [a, g] [g, d] -> [a, d] [d, a] [a, b] [b, d] , 9.26/2.66 [a, g] [g, g] [g, d] -> [a, b] [b, c] [c, d] , 9.26/2.66 [a, b] [b, b] [b, g] -> [a, c] [c, d] [d, g] , 9.26/2.66 [a, c] [c, c] [c, g] -> [a, d] [d, d] [d, d] [d, g] , 9.26/2.66 [a, c] [c, g] -> [a, g] [g, g] , 9.26/2.66 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.26/2.66 [a, d] [d, d] [d, d] [d, g] -> [a, g] [g, c] [c, g] , 9.26/2.66 [a, f] [f, g] -> [a, a] [a, g] [g, g] , 9.26/2.66 [a, g] [g, g] -> [a, d] [d, a] [a, b] [b, g] , 9.26/2.66 [a, g] [g, g] [g, g] -> [a, b] [b, c] [c, g] , 9.26/2.66 [a, b] [b, b] [b, f] -> [a, c] [c, d] [d, f] , 9.26/2.66 [a, c] [c, c] [c, f] -> [a, d] [d, d] [d, d] [d, f] , 9.26/2.66 [a, c] [c, f] -> [a, g] [g, f] , 9.26/2.66 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.26/2.66 [a, d] [d, d] [d, d] [d, f] -> [a, g] [g, c] [c, f] , 9.26/2.66 [a, f] [f, f] -> [a, a] [a, g] [g, f] , 9.26/2.66 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.26/2.66 [a, g] [g, g] [g, f] -> [a, b] [b, c] [c, f] , 9.26/2.66 [a, b] [b, b] [b, a] -> [a, c] [c, d] [d, a] , 9.26/2.66 [a, c] [c, c] [c, a] -> [a, d] [d, d] [d, d] [d, a] , 9.26/2.66 [a, c] [c, a] -> [a, g] [g, a] , 9.26/2.66 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.26/2.66 [a, d] [d, d] [d, d] [d, a] -> [a, g] [g, c] [c, a] , 9.26/2.66 [a, f] [f, a] -> [a, a] [a, g] [g, a] , 9.26/2.66 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] , 9.26/2.66 [a, g] [g, g] [g, a] -> [a, b] [b, c] [c, a] } 9.26/2.66 9.26/2.66 9.26/2.66 9.26/2.66 The system was filtered by the following matrix interpretation 9.26/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.26/2.66 9.26/2.66 [f, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 1 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 9.26/2.66 Remains to prove termination of the 282-rule system 9.26/2.66 { [b, b] [b, b] [b, b] -> [b, c] [c, d] [d, b] , 9.26/2.66 [b, c] [c, c] [c, b] -> [b, d] [d, d] [d, d] [d, b] , 9.26/2.66 [b, c] [c, b] -> [b, g] [g, b] , 9.26/2.66 [b, d] [d, d] [d, b] -> [b, c] [c, f] [f, b] , 9.26/2.66 [b, d] [d, d] [d, d] [d, b] -> [b, g] [g, c] [c, b] , 9.26/2.66 [b, f] [f, b] -> [b, a] [a, g] [g, b] , 9.26/2.66 [b, g] [g, b] -> [b, d] [d, a] [a, b] [b, b] , 9.26/2.66 [b, g] [g, g] [g, b] -> [b, b] [b, c] [c, b] , 9.26/2.66 [b, b] [b, b] [b, c] -> [b, c] [c, d] [d, c] , 9.26/2.66 [b, c] [c, c] [c, c] -> [b, d] [d, d] [d, d] [d, c] , 9.26/2.66 [b, c] [c, c] -> [b, g] [g, c] , 9.26/2.66 [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.26/2.66 [b, d] [d, d] [d, d] [d, c] -> [b, g] [g, c] [c, c] , 9.26/2.66 [b, f] [f, c] -> [b, a] [a, g] [g, c] , 9.26/2.66 [b, g] [g, c] -> [b, d] [d, a] [a, b] [b, c] , 9.26/2.66 [b, g] [g, g] [g, c] -> [b, b] [b, c] [c, c] , 9.26/2.66 [b, b] [b, b] [b, d] -> [b, c] [c, d] [d, d] , 9.26/2.66 [b, c] [c, c] [c, d] -> [b, d] [d, d] [d, d] [d, d] , 9.26/2.66 [b, c] [c, d] -> [b, g] [g, d] , 9.26/2.66 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.26/2.66 [b, d] [d, d] [d, d] [d, d] -> [b, g] [g, c] [c, d] , 9.26/2.66 [b, f] [f, d] -> [b, a] [a, g] [g, d] , 9.26/2.66 [b, g] [g, d] -> [b, d] [d, a] [a, b] [b, d] , 9.26/2.66 [b, g] [g, g] [g, d] -> [b, b] [b, c] [c, d] , 9.26/2.66 [b, b] [b, b] [b, g] -> [b, c] [c, d] [d, g] , 9.26/2.66 [b, c] [c, c] [c, g] -> [b, d] [d, d] [d, d] [d, g] , 9.26/2.66 [b, c] [c, g] -> [b, g] [g, g] , 9.26/2.66 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.26/2.66 [b, d] [d, d] [d, d] [d, g] -> [b, g] [g, c] [c, g] , 9.26/2.66 [b, f] [f, g] -> [b, a] [a, g] [g, g] , 9.26/2.66 [b, g] [g, g] -> [b, d] [d, a] [a, b] [b, g] , 9.26/2.66 [b, g] [g, g] [g, g] -> [b, b] [b, c] [c, g] , 9.26/2.66 [b, b] [b, b] [b, f] -> [b, c] [c, d] [d, f] , 9.26/2.66 [b, c] [c, c] [c, f] -> [b, d] [d, d] [d, d] [d, f] , 9.26/2.66 [b, c] [c, f] -> [b, g] [g, f] , 9.26/2.66 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.26/2.66 [b, d] [d, d] [d, d] [d, f] -> [b, g] [g, c] [c, f] , 9.26/2.66 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.26/2.66 [b, g] [g, f] -> [b, d] [d, a] [a, b] [b, f] , 9.26/2.66 [b, g] [g, g] [g, f] -> [b, b] [b, c] [c, f] , 9.26/2.66 [b, b] [b, b] [b, a] -> [b, c] [c, d] [d, a] , 9.26/2.66 [b, c] [c, c] [c, a] -> [b, d] [d, d] [d, d] [d, a] , 9.26/2.66 [b, c] [c, a] -> [b, g] [g, a] , 9.26/2.66 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.26/2.66 [b, d] [d, d] [d, d] [d, a] -> [b, g] [g, c] [c, a] , 9.26/2.66 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.26/2.66 [b, g] [g, a] -> [b, d] [d, a] [a, b] [b, a] , 9.26/2.66 [b, g] [g, g] [g, a] -> [b, b] [b, c] [c, a] , 9.26/2.66 [c, b] [b, b] [b, b] -> [c, c] [c, d] [d, b] , 9.26/2.66 [c, c] [c, c] [c, b] -> [c, d] [d, d] [d, d] [d, b] , 9.26/2.66 [c, c] [c, b] -> [c, g] [g, b] , 9.26/2.66 [c, d] [d, d] [d, b] -> [c, c] [c, f] [f, b] , 9.26/2.66 [c, d] [d, d] [d, d] [d, b] -> [c, g] [g, c] [c, b] , 9.26/2.66 [c, f] [f, b] -> [c, a] [a, g] [g, b] , 9.26/2.66 [c, g] [g, b] -> [c, d] [d, a] [a, b] [b, b] , 9.26/2.66 [c, g] [g, g] [g, b] -> [c, b] [b, c] [c, b] , 9.26/2.66 [c, b] [b, b] [b, c] -> [c, c] [c, d] [d, c] , 9.26/2.66 [c, c] [c, c] [c, c] -> [c, d] [d, d] [d, d] [d, c] , 9.26/2.66 [c, c] [c, c] -> [c, g] [g, c] , 9.26/2.66 [c, d] [d, d] [d, c] -> [c, c] [c, f] [f, c] , 9.26/2.66 [c, d] [d, d] [d, d] [d, c] -> [c, g] [g, c] [c, c] , 9.26/2.66 [c, f] [f, c] -> [c, a] [a, g] [g, c] , 9.26/2.66 [c, g] [g, c] -> [c, d] [d, a] [a, b] [b, c] , 9.26/2.66 [c, g] [g, g] [g, c] -> [c, b] [b, c] [c, c] , 9.26/2.66 [c, b] [b, b] [b, d] -> [c, c] [c, d] [d, d] , 9.26/2.66 [c, c] [c, c] [c, d] -> [c, d] [d, d] [d, d] [d, d] , 9.26/2.66 [c, c] [c, d] -> [c, g] [g, d] , 9.26/2.66 [c, d] [d, d] [d, d] -> [c, c] [c, f] [f, d] , 9.26/2.66 [c, d] [d, d] [d, d] [d, d] -> [c, g] [g, c] [c, d] , 9.26/2.66 [c, f] [f, d] -> [c, a] [a, g] [g, d] , 9.26/2.66 [c, g] [g, d] -> [c, d] [d, a] [a, b] [b, d] , 9.26/2.66 [c, g] [g, g] [g, d] -> [c, b] [b, c] [c, d] , 9.26/2.66 [c, b] [b, b] [b, g] -> [c, c] [c, d] [d, g] , 9.26/2.66 [c, c] [c, c] [c, g] -> [c, d] [d, d] [d, d] [d, g] , 9.26/2.66 [c, c] [c, g] -> [c, g] [g, g] , 9.26/2.66 [c, d] [d, d] [d, g] -> [c, c] [c, f] [f, g] , 9.26/2.66 [c, d] [d, d] [d, d] [d, g] -> [c, g] [g, c] [c, g] , 9.26/2.66 [c, f] [f, g] -> [c, a] [a, g] [g, g] , 9.26/2.66 [c, g] [g, g] -> [c, d] [d, a] [a, b] [b, g] , 9.26/2.66 [c, g] [g, g] [g, g] -> [c, b] [b, c] [c, g] , 9.26/2.66 [c, b] [b, b] [b, f] -> [c, c] [c, d] [d, f] , 9.26/2.66 [c, c] [c, c] [c, f] -> [c, d] [d, d] [d, d] [d, f] , 9.26/2.66 [c, c] [c, f] -> [c, g] [g, f] , 9.26/2.66 [c, d] [d, d] [d, f] -> [c, c] [c, f] [f, f] , 9.26/2.66 [c, d] [d, d] [d, d] [d, f] -> [c, g] [g, c] [c, f] , 9.26/2.66 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.26/2.66 [c, g] [g, f] -> [c, d] [d, a] [a, b] [b, f] , 9.26/2.66 [c, g] [g, g] [g, f] -> [c, b] [b, c] [c, f] , 9.26/2.66 [c, b] [b, b] [b, a] -> [c, c] [c, d] [d, a] , 9.26/2.66 [c, c] [c, c] [c, a] -> [c, d] [d, d] [d, d] [d, a] , 9.26/2.66 [c, c] [c, a] -> [c, g] [g, a] , 9.26/2.66 [c, d] [d, d] [d, a] -> [c, c] [c, f] [f, a] , 9.26/2.66 [c, d] [d, d] [d, d] [d, a] -> [c, g] [g, c] [c, a] , 9.26/2.66 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.26/2.66 [c, g] [g, a] -> [c, d] [d, a] [a, b] [b, a] , 9.26/2.66 [c, g] [g, g] [g, a] -> [c, b] [b, c] [c, a] , 9.26/2.66 [d, b] [b, b] [b, b] -> [d, c] [c, d] [d, b] , 9.26/2.66 [d, c] [c, c] [c, b] -> [d, d] [d, d] [d, d] [d, b] , 9.26/2.66 [d, c] [c, b] -> [d, g] [g, b] , 9.26/2.66 [d, d] [d, d] [d, b] -> [d, c] [c, f] [f, b] , 9.26/2.66 [d, d] [d, d] [d, d] [d, b] -> [d, g] [g, c] [c, b] , 9.26/2.66 [d, f] [f, b] -> [d, a] [a, g] [g, b] , 9.26/2.66 [d, g] [g, b] -> [d, d] [d, a] [a, b] [b, b] , 9.26/2.66 [d, g] [g, g] [g, b] -> [d, b] [b, c] [c, b] , 9.26/2.66 [d, b] [b, b] [b, c] -> [d, c] [c, d] [d, c] , 9.26/2.66 [d, c] [c, c] [c, c] -> [d, d] [d, d] [d, d] [d, c] , 9.26/2.66 [d, c] [c, c] -> [d, g] [g, c] , 9.26/2.66 [d, d] [d, d] [d, c] -> [d, c] [c, f] [f, c] , 9.26/2.66 [d, d] [d, d] [d, d] [d, c] -> [d, g] [g, c] [c, c] , 9.26/2.66 [d, f] [f, c] -> [d, a] [a, g] [g, c] , 9.26/2.66 [d, g] [g, c] -> [d, d] [d, a] [a, b] [b, c] , 9.26/2.66 [d, g] [g, g] [g, c] -> [d, b] [b, c] [c, c] , 9.26/2.66 [d, b] [b, b] [b, d] -> [d, c] [c, d] [d, d] , 9.26/2.66 [d, c] [c, c] [c, d] -> [d, d] [d, d] [d, d] [d, d] , 9.26/2.66 [d, c] [c, d] -> [d, g] [g, d] , 9.26/2.66 [d, d] [d, d] [d, d] -> [d, c] [c, f] [f, d] , 9.26/2.66 [d, d] [d, d] [d, d] [d, d] -> [d, g] [g, c] [c, d] , 9.26/2.66 [d, f] [f, d] -> [d, a] [a, g] [g, d] , 9.26/2.66 [d, g] [g, d] -> [d, d] [d, a] [a, b] [b, d] , 9.26/2.66 [d, g] [g, g] [g, d] -> [d, b] [b, c] [c, d] , 9.26/2.66 [d, b] [b, b] [b, g] -> [d, c] [c, d] [d, g] , 9.26/2.66 [d, c] [c, c] [c, g] -> [d, d] [d, d] [d, d] [d, g] , 9.26/2.66 [d, c] [c, g] -> [d, g] [g, g] , 9.26/2.66 [d, d] [d, d] [d, g] -> [d, c] [c, f] [f, g] , 9.26/2.66 [d, d] [d, d] [d, d] [d, g] -> [d, g] [g, c] [c, g] , 9.26/2.66 [d, f] [f, g] -> [d, a] [a, g] [g, g] , 9.26/2.66 [d, g] [g, g] -> [d, d] [d, a] [a, b] [b, g] , 9.26/2.66 [d, g] [g, g] [g, g] -> [d, b] [b, c] [c, g] , 9.26/2.66 [d, b] [b, b] [b, f] -> [d, c] [c, d] [d, f] , 9.26/2.66 [d, c] [c, c] [c, f] -> [d, d] [d, d] [d, d] [d, f] , 9.26/2.66 [d, c] [c, f] -> [d, g] [g, f] , 9.26/2.66 [d, d] [d, d] [d, f] -> [d, c] [c, f] [f, f] , 9.26/2.66 [d, d] [d, d] [d, d] [d, f] -> [d, g] [g, c] [c, f] , 9.26/2.66 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.26/2.66 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.26/2.66 [d, g] [g, g] [g, f] -> [d, b] [b, c] [c, f] , 9.26/2.66 [d, b] [b, b] [b, a] -> [d, c] [c, d] [d, a] , 9.26/2.66 [d, c] [c, c] [c, a] -> [d, d] [d, d] [d, d] [d, a] , 9.26/2.66 [d, c] [c, a] -> [d, g] [g, a] , 9.26/2.66 [d, d] [d, d] [d, a] -> [d, c] [c, f] [f, a] , 9.26/2.66 [d, d] [d, d] [d, d] [d, a] -> [d, g] [g, c] [c, a] , 9.26/2.66 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.26/2.66 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.26/2.66 [d, g] [g, g] [g, a] -> [d, b] [b, c] [c, a] , 9.26/2.66 [g, b] [b, b] [b, b] -> [g, c] [c, d] [d, b] , 9.26/2.66 [g, c] [c, c] [c, b] -> [g, d] [d, d] [d, d] [d, b] , 9.26/2.66 [g, c] [c, b] -> [g, g] [g, b] , 9.26/2.66 [g, d] [d, d] [d, b] -> [g, c] [c, f] [f, b] , 9.26/2.66 [g, d] [d, d] [d, d] [d, b] -> [g, g] [g, c] [c, b] , 9.26/2.66 [g, f] [f, b] -> [g, a] [a, g] [g, b] , 9.26/2.66 [g, g] [g, b] -> [g, d] [d, a] [a, b] [b, b] , 9.26/2.66 [g, g] [g, g] [g, b] -> [g, b] [b, c] [c, b] , 9.26/2.66 [g, b] [b, b] [b, c] -> [g, c] [c, d] [d, c] , 9.26/2.66 [g, c] [c, c] [c, c] -> [g, d] [d, d] [d, d] [d, c] , 9.26/2.66 [g, c] [c, c] -> [g, g] [g, c] , 9.26/2.66 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.26/2.66 [g, d] [d, d] [d, d] [d, c] -> [g, g] [g, c] [c, c] , 9.26/2.66 [g, f] [f, c] -> [g, a] [a, g] [g, c] , 9.26/2.66 [g, g] [g, c] -> [g, d] [d, a] [a, b] [b, c] , 9.26/2.66 [g, g] [g, g] [g, c] -> [g, b] [b, c] [c, c] , 9.26/2.66 [g, b] [b, b] [b, d] -> [g, c] [c, d] [d, d] , 9.26/2.66 [g, c] [c, c] [c, d] -> [g, d] [d, d] [d, d] [d, d] , 9.26/2.66 [g, c] [c, d] -> [g, g] [g, d] , 9.26/2.66 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.26/2.66 [g, d] [d, d] [d, d] [d, d] -> [g, g] [g, c] [c, d] , 9.26/2.66 [g, f] [f, d] -> [g, a] [a, g] [g, d] , 9.26/2.66 [g, g] [g, d] -> [g, d] [d, a] [a, b] [b, d] , 9.26/2.66 [g, g] [g, g] [g, d] -> [g, b] [b, c] [c, d] , 9.26/2.66 [g, b] [b, b] [b, g] -> [g, c] [c, d] [d, g] , 9.26/2.66 [g, c] [c, c] [c, g] -> [g, d] [d, d] [d, d] [d, g] , 9.26/2.66 [g, c] [c, g] -> [g, g] [g, g] , 9.26/2.66 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.26/2.66 [g, d] [d, d] [d, d] [d, g] -> [g, g] [g, c] [c, g] , 9.26/2.66 [g, f] [f, g] -> [g, a] [a, g] [g, g] , 9.26/2.66 [g, g] [g, g] -> [g, d] [d, a] [a, b] [b, g] , 9.26/2.66 [g, g] [g, g] [g, g] -> [g, b] [b, c] [c, g] , 9.26/2.66 [g, b] [b, b] [b, f] -> [g, c] [c, d] [d, f] , 9.26/2.66 [g, c] [c, c] [c, f] -> [g, d] [d, d] [d, d] [d, f] , 9.26/2.66 [g, c] [c, f] -> [g, g] [g, f] , 9.26/2.66 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.26/2.66 [g, d] [d, d] [d, d] [d, f] -> [g, g] [g, c] [c, f] , 9.26/2.66 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.26/2.66 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.26/2.66 [g, g] [g, g] [g, f] -> [g, b] [b, c] [c, f] , 9.26/2.66 [g, b] [b, b] [b, a] -> [g, c] [c, d] [d, a] , 9.26/2.66 [g, c] [c, c] [c, a] -> [g, d] [d, d] [d, d] [d, a] , 9.26/2.66 [g, c] [c, a] -> [g, g] [g, a] , 9.26/2.66 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.26/2.66 [g, d] [d, d] [d, d] [d, a] -> [g, g] [g, c] [c, a] , 9.26/2.66 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.26/2.66 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.26/2.66 [g, g] [g, g] [g, a] -> [g, b] [b, c] [c, a] , 9.26/2.66 [f, b] [b, b] [b, b] -> [f, c] [c, d] [d, b] , 9.26/2.66 [f, c] [c, c] [c, b] -> [f, d] [d, d] [d, d] [d, b] , 9.26/2.66 [f, c] [c, b] -> [f, g] [g, b] , 9.26/2.66 [f, d] [d, d] [d, b] -> [f, c] [c, f] [f, b] , 9.26/2.66 [f, d] [d, d] [d, d] [d, b] -> [f, g] [g, c] [c, b] , 9.26/2.66 [f, f] [f, b] -> [f, a] [a, g] [g, b] , 9.26/2.66 [f, g] [g, b] -> [f, d] [d, a] [a, b] [b, b] , 9.26/2.66 [f, g] [g, g] [g, b] -> [f, b] [b, c] [c, b] , 9.26/2.66 [f, b] [b, b] [b, c] -> [f, c] [c, d] [d, c] , 9.26/2.66 [f, c] [c, c] [c, c] -> [f, d] [d, d] [d, d] [d, c] , 9.26/2.66 [f, c] [c, c] -> [f, g] [g, c] , 9.26/2.66 [f, d] [d, d] [d, c] -> [f, c] [c, f] [f, c] , 9.26/2.66 [f, d] [d, d] [d, d] [d, c] -> [f, g] [g, c] [c, c] , 9.26/2.66 [f, f] [f, c] -> [f, a] [a, g] [g, c] , 9.26/2.66 [f, g] [g, c] -> [f, d] [d, a] [a, b] [b, c] , 9.26/2.66 [f, g] [g, g] [g, c] -> [f, b] [b, c] [c, c] , 9.26/2.66 [f, b] [b, b] [b, d] -> [f, c] [c, d] [d, d] , 9.26/2.66 [f, c] [c, c] [c, d] -> [f, d] [d, d] [d, d] [d, d] , 9.26/2.66 [f, c] [c, d] -> [f, g] [g, d] , 9.26/2.66 [f, d] [d, d] [d, d] -> [f, c] [c, f] [f, d] , 9.26/2.66 [f, d] [d, d] [d, d] [d, d] -> [f, g] [g, c] [c, d] , 9.26/2.66 [f, f] [f, d] -> [f, a] [a, g] [g, d] , 9.26/2.66 [f, g] [g, d] -> [f, d] [d, a] [a, b] [b, d] , 9.26/2.66 [f, g] [g, g] [g, d] -> [f, b] [b, c] [c, d] , 9.26/2.66 [f, b] [b, b] [b, g] -> [f, c] [c, d] [d, g] , 9.26/2.66 [f, c] [c, c] [c, g] -> [f, d] [d, d] [d, d] [d, g] , 9.26/2.66 [f, c] [c, g] -> [f, g] [g, g] , 9.26/2.66 [f, d] [d, d] [d, g] -> [f, c] [c, f] [f, g] , 9.26/2.66 [f, d] [d, d] [d, d] [d, g] -> [f, g] [g, c] [c, g] , 9.26/2.66 [f, f] [f, g] -> [f, a] [a, g] [g, g] , 9.26/2.66 [f, g] [g, g] -> [f, d] [d, a] [a, b] [b, g] , 9.26/2.66 [f, g] [g, g] [g, g] -> [f, b] [b, c] [c, g] , 9.26/2.66 [f, b] [b, b] [b, f] -> [f, c] [c, d] [d, f] , 9.26/2.66 [f, c] [c, c] [c, f] -> [f, d] [d, d] [d, d] [d, f] , 9.26/2.66 [f, c] [c, f] -> [f, g] [g, f] , 9.26/2.66 [f, d] [d, d] [d, f] -> [f, c] [c, f] [f, f] , 9.26/2.66 [f, d] [d, d] [d, d] [d, f] -> [f, g] [g, c] [c, f] , 9.26/2.66 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.26/2.66 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.26/2.66 [f, g] [g, g] [g, f] -> [f, b] [b, c] [c, f] , 9.26/2.66 [f, b] [b, b] [b, a] -> [f, c] [c, d] [d, a] , 9.26/2.66 [f, c] [c, c] [c, a] -> [f, d] [d, d] [d, d] [d, a] , 9.26/2.66 [f, c] [c, a] -> [f, g] [g, a] , 9.26/2.66 [f, d] [d, d] [d, a] -> [f, c] [c, f] [f, a] , 9.26/2.66 [f, d] [d, d] [d, d] [d, a] -> [f, g] [g, c] [c, a] , 9.26/2.66 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.26/2.66 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.26/2.66 [f, g] [g, g] [g, a] -> [f, b] [b, c] [c, a] , 9.26/2.66 [a, b] [b, b] [b, b] -> [a, c] [c, d] [d, b] , 9.26/2.66 [a, c] [c, c] [c, b] -> [a, d] [d, d] [d, d] [d, b] , 9.26/2.66 [a, c] [c, b] -> [a, g] [g, b] , 9.26/2.66 [a, d] [d, d] [d, b] -> [a, c] [c, f] [f, b] , 9.26/2.66 [a, d] [d, d] [d, d] [d, b] -> [a, g] [g, c] [c, b] , 9.26/2.66 [a, g] [g, b] -> [a, d] [d, a] [a, b] [b, b] , 9.26/2.66 [a, g] [g, g] [g, b] -> [a, b] [b, c] [c, b] , 9.26/2.66 [a, b] [b, b] [b, c] -> [a, c] [c, d] [d, c] , 9.26/2.66 [a, c] [c, c] [c, c] -> [a, d] [d, d] [d, d] [d, c] , 9.26/2.66 [a, c] [c, c] -> [a, g] [g, c] , 9.26/2.66 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.26/2.66 [a, d] [d, d] [d, d] [d, c] -> [a, g] [g, c] [c, c] , 9.26/2.66 [a, g] [g, c] -> [a, d] [d, a] [a, b] [b, c] , 9.26/2.66 [a, g] [g, g] [g, c] -> [a, b] [b, c] [c, c] , 9.26/2.66 [a, b] [b, b] [b, d] -> [a, c] [c, d] [d, d] , 9.26/2.66 [a, c] [c, c] [c, d] -> [a, d] [d, d] [d, d] [d, d] , 9.26/2.66 [a, c] [c, d] -> [a, g] [g, d] , 9.26/2.66 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.26/2.66 [a, d] [d, d] [d, d] [d, d] -> [a, g] [g, c] [c, d] , 9.26/2.66 [a, g] [g, d] -> [a, d] [d, a] [a, b] [b, d] , 9.26/2.66 [a, g] [g, g] [g, d] -> [a, b] [b, c] [c, d] , 9.26/2.66 [a, b] [b, b] [b, g] -> [a, c] [c, d] [d, g] , 9.26/2.66 [a, c] [c, c] [c, g] -> [a, d] [d, d] [d, d] [d, g] , 9.26/2.66 [a, c] [c, g] -> [a, g] [g, g] , 9.26/2.66 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.26/2.66 [a, d] [d, d] [d, d] [d, g] -> [a, g] [g, c] [c, g] , 9.26/2.66 [a, g] [g, g] -> [a, d] [d, a] [a, b] [b, g] , 9.26/2.66 [a, g] [g, g] [g, g] -> [a, b] [b, c] [c, g] , 9.26/2.66 [a, b] [b, b] [b, f] -> [a, c] [c, d] [d, f] , 9.26/2.66 [a, c] [c, c] [c, f] -> [a, d] [d, d] [d, d] [d, f] , 9.26/2.66 [a, c] [c, f] -> [a, g] [g, f] , 9.26/2.66 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.26/2.66 [a, d] [d, d] [d, d] [d, f] -> [a, g] [g, c] [c, f] , 9.26/2.66 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.26/2.66 [a, g] [g, g] [g, f] -> [a, b] [b, c] [c, f] , 9.26/2.66 [a, b] [b, b] [b, a] -> [a, c] [c, d] [d, a] , 9.26/2.66 [a, c] [c, c] [c, a] -> [a, d] [d, d] [d, d] [d, a] , 9.26/2.66 [a, c] [c, a] -> [a, g] [g, a] , 9.26/2.66 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.26/2.66 [a, d] [d, d] [d, d] [d, a] -> [a, g] [g, c] [c, a] , 9.26/2.66 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] , 9.26/2.66 [a, g] [g, g] [g, a] -> [a, b] [b, c] [c, a] } 9.26/2.66 9.26/2.66 9.26/2.66 The system was filtered by the following matrix interpretation 9.26/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.26/2.66 9.26/2.66 [f, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 2 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 2 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 5 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 5 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 4 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 3 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 4 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 5 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 8 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 2 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 2 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 8 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 4 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 6 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 8 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 2 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 9.26/2.66 Remains to prove termination of the 210-rule system 9.26/2.66 { [b, b] [b, b] [b, b] -> [b, c] [c, d] [d, b] , 9.26/2.66 [b, c] [c, c] [c, b] -> [b, d] [d, d] [d, d] [d, b] , 9.26/2.66 [b, c] [c, b] -> [b, g] [g, b] , 9.26/2.66 [b, d] [d, d] [d, b] -> [b, c] [c, f] [f, b] , 9.26/2.66 [b, d] [d, d] [d, d] [d, b] -> [b, g] [g, c] [c, b] , 9.26/2.66 [b, f] [f, b] -> [b, a] [a, g] [g, b] , 9.26/2.66 [b, b] [b, b] [b, c] -> [b, c] [c, d] [d, c] , 9.26/2.66 [b, c] [c, c] [c, c] -> [b, d] [d, d] [d, d] [d, c] , 9.26/2.66 [b, c] [c, c] -> [b, g] [g, c] , 9.26/2.66 [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.26/2.66 [b, d] [d, d] [d, d] [d, c] -> [b, g] [g, c] [c, c] , 9.26/2.66 [b, f] [f, c] -> [b, a] [a, g] [g, c] , 9.26/2.66 [b, b] [b, b] [b, d] -> [b, c] [c, d] [d, d] , 9.26/2.66 [b, c] [c, c] [c, d] -> [b, d] [d, d] [d, d] [d, d] , 9.26/2.66 [b, c] [c, d] -> [b, g] [g, d] , 9.26/2.66 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.26/2.66 [b, d] [d, d] [d, d] [d, d] -> [b, g] [g, c] [c, d] , 9.26/2.66 [b, f] [f, d] -> [b, a] [a, g] [g, d] , 9.26/2.66 [b, b] [b, b] [b, g] -> [b, c] [c, d] [d, g] , 9.26/2.66 [b, c] [c, c] [c, g] -> [b, d] [d, d] [d, d] [d, g] , 9.26/2.66 [b, c] [c, g] -> [b, g] [g, g] , 9.26/2.66 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.26/2.66 [b, d] [d, d] [d, d] [d, g] -> [b, g] [g, c] [c, g] , 9.26/2.66 [b, f] [f, g] -> [b, a] [a, g] [g, g] , 9.26/2.66 [b, c] [c, c] [c, f] -> [b, d] [d, d] [d, d] [d, f] , 9.26/2.66 [b, c] [c, f] -> [b, g] [g, f] , 9.26/2.66 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.26/2.66 [b, d] [d, d] [d, d] [d, f] -> [b, g] [g, c] [c, f] , 9.26/2.66 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.26/2.66 [b, g] [g, f] -> [b, d] [d, a] [a, b] [b, f] , 9.26/2.66 [b, c] [c, c] [c, a] -> [b, d] [d, d] [d, d] [d, a] , 9.26/2.66 [b, c] [c, a] -> [b, g] [g, a] , 9.26/2.66 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.26/2.66 [b, d] [d, d] [d, d] [d, a] -> [b, g] [g, c] [c, a] , 9.26/2.66 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.26/2.66 [b, g] [g, a] -> [b, d] [d, a] [a, b] [b, a] , 9.26/2.66 [c, b] [b, b] [b, b] -> [c, c] [c, d] [d, b] , 9.26/2.66 [c, c] [c, c] [c, b] -> [c, d] [d, d] [d, d] [d, b] , 9.26/2.66 [c, c] [c, b] -> [c, g] [g, b] , 9.26/2.66 [c, d] [d, d] [d, b] -> [c, c] [c, f] [f, b] , 9.26/2.66 [c, d] [d, d] [d, d] [d, b] -> [c, g] [g, c] [c, b] , 9.26/2.66 [c, f] [f, b] -> [c, a] [a, g] [g, b] , 9.26/2.66 [c, b] [b, b] [b, c] -> [c, c] [c, d] [d, c] , 9.26/2.66 [c, c] [c, c] [c, c] -> [c, d] [d, d] [d, d] [d, c] , 9.26/2.66 [c, c] [c, c] -> [c, g] [g, c] , 9.26/2.66 [c, d] [d, d] [d, c] -> [c, c] [c, f] [f, c] , 9.26/2.66 [c, d] [d, d] [d, d] [d, c] -> [c, g] [g, c] [c, c] , 9.26/2.66 [c, f] [f, c] -> [c, a] [a, g] [g, c] , 9.26/2.66 [c, b] [b, b] [b, d] -> [c, c] [c, d] [d, d] , 9.26/2.66 [c, c] [c, c] [c, d] -> [c, d] [d, d] [d, d] [d, d] , 9.26/2.66 [c, c] [c, d] -> [c, g] [g, d] , 9.26/2.66 [c, d] [d, d] [d, d] -> [c, c] [c, f] [f, d] , 9.26/2.66 [c, d] [d, d] [d, d] [d, d] -> [c, g] [g, c] [c, d] , 9.26/2.66 [c, f] [f, d] -> [c, a] [a, g] [g, d] , 9.26/2.66 [c, b] [b, b] [b, g] -> [c, c] [c, d] [d, g] , 9.26/2.66 [c, c] [c, c] [c, g] -> [c, d] [d, d] [d, d] [d, g] , 9.26/2.66 [c, c] [c, g] -> [c, g] [g, g] , 9.26/2.66 [c, d] [d, d] [d, g] -> [c, c] [c, f] [f, g] , 9.26/2.66 [c, d] [d, d] [d, d] [d, g] -> [c, g] [g, c] [c, g] , 9.26/2.66 [c, f] [f, g] -> [c, a] [a, g] [g, g] , 9.26/2.66 [c, c] [c, c] [c, f] -> [c, d] [d, d] [d, d] [d, f] , 9.26/2.66 [c, c] [c, f] -> [c, g] [g, f] , 9.26/2.66 [c, d] [d, d] [d, f] -> [c, c] [c, f] [f, f] , 9.26/2.66 [c, d] [d, d] [d, d] [d, f] -> [c, g] [g, c] [c, f] , 9.26/2.66 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.26/2.66 [c, g] [g, f] -> [c, d] [d, a] [a, b] [b, f] , 9.26/2.66 [c, c] [c, c] [c, a] -> [c, d] [d, d] [d, d] [d, a] , 9.26/2.66 [c, c] [c, a] -> [c, g] [g, a] , 9.26/2.66 [c, d] [d, d] [d, a] -> [c, c] [c, f] [f, a] , 9.26/2.66 [c, d] [d, d] [d, d] [d, a] -> [c, g] [g, c] [c, a] , 9.26/2.66 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.26/2.66 [c, g] [g, a] -> [c, d] [d, a] [a, b] [b, a] , 9.26/2.66 [d, b] [b, b] [b, b] -> [d, c] [c, d] [d, b] , 9.26/2.66 [d, c] [c, c] [c, b] -> [d, d] [d, d] [d, d] [d, b] , 9.26/2.66 [d, c] [c, b] -> [d, g] [g, b] , 9.26/2.66 [d, d] [d, d] [d, b] -> [d, c] [c, f] [f, b] , 9.26/2.66 [d, d] [d, d] [d, d] [d, b] -> [d, g] [g, c] [c, b] , 9.26/2.66 [d, f] [f, b] -> [d, a] [a, g] [g, b] , 9.26/2.66 [d, b] [b, b] [b, c] -> [d, c] [c, d] [d, c] , 9.26/2.66 [d, c] [c, c] [c, c] -> [d, d] [d, d] [d, d] [d, c] , 9.26/2.66 [d, c] [c, c] -> [d, g] [g, c] , 9.26/2.66 [d, d] [d, d] [d, c] -> [d, c] [c, f] [f, c] , 9.26/2.66 [d, d] [d, d] [d, d] [d, c] -> [d, g] [g, c] [c, c] , 9.26/2.66 [d, f] [f, c] -> [d, a] [a, g] [g, c] , 9.26/2.66 [d, b] [b, b] [b, d] -> [d, c] [c, d] [d, d] , 9.26/2.66 [d, c] [c, c] [c, d] -> [d, d] [d, d] [d, d] [d, d] , 9.26/2.66 [d, c] [c, d] -> [d, g] [g, d] , 9.26/2.66 [d, d] [d, d] [d, d] -> [d, c] [c, f] [f, d] , 9.26/2.66 [d, d] [d, d] [d, d] [d, d] -> [d, g] [g, c] [c, d] , 9.26/2.66 [d, f] [f, d] -> [d, a] [a, g] [g, d] , 9.26/2.66 [d, b] [b, b] [b, g] -> [d, c] [c, d] [d, g] , 9.26/2.66 [d, c] [c, c] [c, g] -> [d, d] [d, d] [d, d] [d, g] , 9.26/2.66 [d, c] [c, g] -> [d, g] [g, g] , 9.26/2.66 [d, d] [d, d] [d, g] -> [d, c] [c, f] [f, g] , 9.26/2.66 [d, d] [d, d] [d, d] [d, g] -> [d, g] [g, c] [c, g] , 9.26/2.66 [d, f] [f, g] -> [d, a] [a, g] [g, g] , 9.26/2.66 [d, c] [c, c] [c, f] -> [d, d] [d, d] [d, d] [d, f] , 9.26/2.66 [d, c] [c, f] -> [d, g] [g, f] , 9.26/2.66 [d, d] [d, d] [d, f] -> [d, c] [c, f] [f, f] , 9.26/2.66 [d, d] [d, d] [d, d] [d, f] -> [d, g] [g, c] [c, f] , 9.26/2.66 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.26/2.66 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.26/2.66 [d, c] [c, c] [c, a] -> [d, d] [d, d] [d, d] [d, a] , 9.26/2.66 [d, c] [c, a] -> [d, g] [g, a] , 9.26/2.66 [d, d] [d, d] [d, a] -> [d, c] [c, f] [f, a] , 9.26/2.66 [d, d] [d, d] [d, d] [d, a] -> [d, g] [g, c] [c, a] , 9.26/2.66 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.26/2.66 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.26/2.66 [g, b] [b, b] [b, b] -> [g, c] [c, d] [d, b] , 9.26/2.66 [g, c] [c, c] [c, b] -> [g, d] [d, d] [d, d] [d, b] , 9.26/2.66 [g, c] [c, b] -> [g, g] [g, b] , 9.26/2.66 [g, d] [d, d] [d, b] -> [g, c] [c, f] [f, b] , 9.26/2.66 [g, d] [d, d] [d, d] [d, b] -> [g, g] [g, c] [c, b] , 9.26/2.66 [g, f] [f, b] -> [g, a] [a, g] [g, b] , 9.26/2.66 [g, b] [b, b] [b, c] -> [g, c] [c, d] [d, c] , 9.26/2.66 [g, c] [c, c] [c, c] -> [g, d] [d, d] [d, d] [d, c] , 9.26/2.66 [g, c] [c, c] -> [g, g] [g, c] , 9.26/2.66 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.26/2.66 [g, d] [d, d] [d, d] [d, c] -> [g, g] [g, c] [c, c] , 9.26/2.66 [g, f] [f, c] -> [g, a] [a, g] [g, c] , 9.26/2.66 [g, b] [b, b] [b, d] -> [g, c] [c, d] [d, d] , 9.26/2.66 [g, c] [c, c] [c, d] -> [g, d] [d, d] [d, d] [d, d] , 9.26/2.66 [g, c] [c, d] -> [g, g] [g, d] , 9.26/2.66 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.26/2.66 [g, d] [d, d] [d, d] [d, d] -> [g, g] [g, c] [c, d] , 9.26/2.66 [g, f] [f, d] -> [g, a] [a, g] [g, d] , 9.26/2.66 [g, b] [b, b] [b, g] -> [g, c] [c, d] [d, g] , 9.26/2.66 [g, c] [c, c] [c, g] -> [g, d] [d, d] [d, d] [d, g] , 9.26/2.66 [g, c] [c, g] -> [g, g] [g, g] , 9.26/2.66 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.26/2.66 [g, d] [d, d] [d, d] [d, g] -> [g, g] [g, c] [c, g] , 9.26/2.66 [g, f] [f, g] -> [g, a] [a, g] [g, g] , 9.26/2.66 [g, c] [c, c] [c, f] -> [g, d] [d, d] [d, d] [d, f] , 9.26/2.66 [g, c] [c, f] -> [g, g] [g, f] , 9.26/2.66 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.26/2.66 [g, d] [d, d] [d, d] [d, f] -> [g, g] [g, c] [c, f] , 9.26/2.66 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.26/2.66 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.26/2.66 [g, c] [c, c] [c, a] -> [g, d] [d, d] [d, d] [d, a] , 9.26/2.66 [g, c] [c, a] -> [g, g] [g, a] , 9.26/2.66 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.26/2.66 [g, d] [d, d] [d, d] [d, a] -> [g, g] [g, c] [c, a] , 9.26/2.66 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.26/2.66 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.26/2.66 [f, b] [b, b] [b, b] -> [f, c] [c, d] [d, b] , 9.26/2.66 [f, c] [c, c] [c, b] -> [f, d] [d, d] [d, d] [d, b] , 9.26/2.66 [f, c] [c, b] -> [f, g] [g, b] , 9.26/2.66 [f, d] [d, d] [d, b] -> [f, c] [c, f] [f, b] , 9.26/2.66 [f, d] [d, d] [d, d] [d, b] -> [f, g] [g, c] [c, b] , 9.26/2.66 [f, f] [f, b] -> [f, a] [a, g] [g, b] , 9.26/2.66 [f, b] [b, b] [b, c] -> [f, c] [c, d] [d, c] , 9.26/2.66 [f, c] [c, c] [c, c] -> [f, d] [d, d] [d, d] [d, c] , 9.26/2.66 [f, c] [c, c] -> [f, g] [g, c] , 9.26/2.66 [f, d] [d, d] [d, c] -> [f, c] [c, f] [f, c] , 9.26/2.66 [f, d] [d, d] [d, d] [d, c] -> [f, g] [g, c] [c, c] , 9.26/2.66 [f, f] [f, c] -> [f, a] [a, g] [g, c] , 9.26/2.66 [f, b] [b, b] [b, d] -> [f, c] [c, d] [d, d] , 9.26/2.66 [f, c] [c, c] [c, d] -> [f, d] [d, d] [d, d] [d, d] , 9.26/2.66 [f, c] [c, d] -> [f, g] [g, d] , 9.26/2.66 [f, d] [d, d] [d, d] -> [f, c] [c, f] [f, d] , 9.26/2.66 [f, d] [d, d] [d, d] [d, d] -> [f, g] [g, c] [c, d] , 9.26/2.66 [f, f] [f, d] -> [f, a] [a, g] [g, d] , 9.26/2.66 [f, b] [b, b] [b, g] -> [f, c] [c, d] [d, g] , 9.26/2.66 [f, c] [c, c] [c, g] -> [f, d] [d, d] [d, d] [d, g] , 9.26/2.66 [f, c] [c, g] -> [f, g] [g, g] , 9.26/2.66 [f, d] [d, d] [d, g] -> [f, c] [c, f] [f, g] , 9.26/2.66 [f, d] [d, d] [d, d] [d, g] -> [f, g] [g, c] [c, g] , 9.26/2.66 [f, f] [f, g] -> [f, a] [a, g] [g, g] , 9.26/2.66 [f, c] [c, c] [c, f] -> [f, d] [d, d] [d, d] [d, f] , 9.26/2.66 [f, c] [c, f] -> [f, g] [g, f] , 9.26/2.66 [f, d] [d, d] [d, f] -> [f, c] [c, f] [f, f] , 9.26/2.66 [f, d] [d, d] [d, d] [d, f] -> [f, g] [g, c] [c, f] , 9.26/2.66 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.26/2.66 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.26/2.66 [f, c] [c, c] [c, a] -> [f, d] [d, d] [d, d] [d, a] , 9.26/2.66 [f, c] [c, a] -> [f, g] [g, a] , 9.26/2.66 [f, d] [d, d] [d, a] -> [f, c] [c, f] [f, a] , 9.26/2.66 [f, d] [d, d] [d, d] [d, a] -> [f, g] [g, c] [c, a] , 9.26/2.66 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.26/2.66 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.26/2.66 [a, b] [b, b] [b, b] -> [a, c] [c, d] [d, b] , 9.26/2.66 [a, c] [c, c] [c, b] -> [a, d] [d, d] [d, d] [d, b] , 9.26/2.66 [a, c] [c, b] -> [a, g] [g, b] , 9.26/2.66 [a, d] [d, d] [d, b] -> [a, c] [c, f] [f, b] , 9.26/2.66 [a, d] [d, d] [d, d] [d, b] -> [a, g] [g, c] [c, b] , 9.26/2.66 [a, b] [b, b] [b, c] -> [a, c] [c, d] [d, c] , 9.26/2.66 [a, c] [c, c] [c, c] -> [a, d] [d, d] [d, d] [d, c] , 9.26/2.66 [a, c] [c, c] -> [a, g] [g, c] , 9.26/2.66 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.26/2.66 [a, d] [d, d] [d, d] [d, c] -> [a, g] [g, c] [c, c] , 9.26/2.66 [a, b] [b, b] [b, d] -> [a, c] [c, d] [d, d] , 9.26/2.66 [a, c] [c, c] [c, d] -> [a, d] [d, d] [d, d] [d, d] , 9.26/2.66 [a, c] [c, d] -> [a, g] [g, d] , 9.26/2.66 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.26/2.66 [a, d] [d, d] [d, d] [d, d] -> [a, g] [g, c] [c, d] , 9.26/2.66 [a, b] [b, b] [b, g] -> [a, c] [c, d] [d, g] , 9.26/2.66 [a, c] [c, c] [c, g] -> [a, d] [d, d] [d, d] [d, g] , 9.26/2.66 [a, c] [c, g] -> [a, g] [g, g] , 9.26/2.66 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.26/2.66 [a, d] [d, d] [d, d] [d, g] -> [a, g] [g, c] [c, g] , 9.26/2.66 [a, c] [c, c] [c, f] -> [a, d] [d, d] [d, d] [d, f] , 9.26/2.66 [a, c] [c, f] -> [a, g] [g, f] , 9.26/2.66 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.26/2.66 [a, d] [d, d] [d, d] [d, f] -> [a, g] [g, c] [c, f] , 9.26/2.66 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.26/2.66 [a, c] [c, c] [c, a] -> [a, d] [d, d] [d, d] [d, a] , 9.26/2.66 [a, c] [c, a] -> [a, g] [g, a] , 9.26/2.66 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.26/2.66 [a, d] [d, d] [d, d] [d, a] -> [a, g] [g, c] [c, a] , 9.26/2.66 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.26/2.66 9.26/2.66 9.26/2.66 The system was filtered by the following matrix interpretation 9.26/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.26/2.66 9.26/2.66 [f, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 1 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 9.26/2.66 Remains to prove termination of the 186-rule system 9.26/2.66 { [b, c] [c, c] [c, b] -> [b, d] [d, d] [d, d] [d, b] , 9.26/2.66 [b, c] [c, b] -> [b, g] [g, b] , 9.26/2.66 [b, d] [d, d] [d, b] -> [b, c] [c, f] [f, b] , 9.26/2.66 [b, d] [d, d] [d, d] [d, b] -> [b, g] [g, c] [c, b] , 9.26/2.66 [b, f] [f, b] -> [b, a] [a, g] [g, b] , 9.26/2.66 [b, c] [c, c] [c, c] -> [b, d] [d, d] [d, d] [d, c] , 9.26/2.66 [b, c] [c, c] -> [b, g] [g, c] , 9.26/2.66 [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.26/2.66 [b, d] [d, d] [d, d] [d, c] -> [b, g] [g, c] [c, c] , 9.26/2.66 [b, f] [f, c] -> [b, a] [a, g] [g, c] , 9.26/2.66 [b, c] [c, c] [c, d] -> [b, d] [d, d] [d, d] [d, d] , 9.26/2.66 [b, c] [c, d] -> [b, g] [g, d] , 9.26/2.66 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.26/2.66 [b, d] [d, d] [d, d] [d, d] -> [b, g] [g, c] [c, d] , 9.26/2.66 [b, f] [f, d] -> [b, a] [a, g] [g, d] , 9.26/2.66 [b, c] [c, c] [c, g] -> [b, d] [d, d] [d, d] [d, g] , 9.26/2.66 [b, c] [c, g] -> [b, g] [g, g] , 9.26/2.66 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.26/2.66 [b, d] [d, d] [d, d] [d, g] -> [b, g] [g, c] [c, g] , 9.26/2.66 [b, f] [f, g] -> [b, a] [a, g] [g, g] , 9.26/2.66 [b, c] [c, c] [c, f] -> [b, d] [d, d] [d, d] [d, f] , 9.26/2.66 [b, c] [c, f] -> [b, g] [g, f] , 9.26/2.66 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.26/2.66 [b, d] [d, d] [d, d] [d, f] -> [b, g] [g, c] [c, f] , 9.26/2.66 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.26/2.66 [b, g] [g, f] -> [b, d] [d, a] [a, b] [b, f] , 9.26/2.66 [b, c] [c, c] [c, a] -> [b, d] [d, d] [d, d] [d, a] , 9.26/2.66 [b, c] [c, a] -> [b, g] [g, a] , 9.26/2.66 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.26/2.66 [b, d] [d, d] [d, d] [d, a] -> [b, g] [g, c] [c, a] , 9.26/2.66 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.26/2.66 [b, g] [g, a] -> [b, d] [d, a] [a, b] [b, a] , 9.26/2.66 [c, c] [c, c] [c, b] -> [c, d] [d, d] [d, d] [d, b] , 9.26/2.66 [c, c] [c, b] -> [c, g] [g, b] , 9.26/2.66 [c, d] [d, d] [d, b] -> [c, c] [c, f] [f, b] , 9.26/2.66 [c, d] [d, d] [d, d] [d, b] -> [c, g] [g, c] [c, b] , 9.26/2.66 [c, f] [f, b] -> [c, a] [a, g] [g, b] , 9.26/2.66 [c, c] [c, c] [c, c] -> [c, d] [d, d] [d, d] [d, c] , 9.26/2.66 [c, c] [c, c] -> [c, g] [g, c] , 9.26/2.66 [c, d] [d, d] [d, c] -> [c, c] [c, f] [f, c] , 9.26/2.66 [c, d] [d, d] [d, d] [d, c] -> [c, g] [g, c] [c, c] , 9.26/2.66 [c, f] [f, c] -> [c, a] [a, g] [g, c] , 9.26/2.66 [c, c] [c, c] [c, d] -> [c, d] [d, d] [d, d] [d, d] , 9.26/2.66 [c, c] [c, d] -> [c, g] [g, d] , 9.26/2.66 [c, d] [d, d] [d, d] -> [c, c] [c, f] [f, d] , 9.26/2.66 [c, d] [d, d] [d, d] [d, d] -> [c, g] [g, c] [c, d] , 9.26/2.66 [c, f] [f, d] -> [c, a] [a, g] [g, d] , 9.26/2.66 [c, c] [c, c] [c, g] -> [c, d] [d, d] [d, d] [d, g] , 9.26/2.66 [c, c] [c, g] -> [c, g] [g, g] , 9.26/2.66 [c, d] [d, d] [d, g] -> [c, c] [c, f] [f, g] , 9.26/2.66 [c, d] [d, d] [d, d] [d, g] -> [c, g] [g, c] [c, g] , 9.26/2.66 [c, f] [f, g] -> [c, a] [a, g] [g, g] , 9.26/2.66 [c, c] [c, c] [c, f] -> [c, d] [d, d] [d, d] [d, f] , 9.26/2.66 [c, c] [c, f] -> [c, g] [g, f] , 9.26/2.66 [c, d] [d, d] [d, f] -> [c, c] [c, f] [f, f] , 9.26/2.66 [c, d] [d, d] [d, d] [d, f] -> [c, g] [g, c] [c, f] , 9.26/2.66 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.26/2.66 [c, g] [g, f] -> [c, d] [d, a] [a, b] [b, f] , 9.26/2.66 [c, c] [c, c] [c, a] -> [c, d] [d, d] [d, d] [d, a] , 9.26/2.66 [c, c] [c, a] -> [c, g] [g, a] , 9.26/2.66 [c, d] [d, d] [d, a] -> [c, c] [c, f] [f, a] , 9.26/2.66 [c, d] [d, d] [d, d] [d, a] -> [c, g] [g, c] [c, a] , 9.26/2.66 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.26/2.66 [c, g] [g, a] -> [c, d] [d, a] [a, b] [b, a] , 9.26/2.66 [d, c] [c, c] [c, b] -> [d, d] [d, d] [d, d] [d, b] , 9.26/2.66 [d, c] [c, b] -> [d, g] [g, b] , 9.26/2.66 [d, d] [d, d] [d, b] -> [d, c] [c, f] [f, b] , 9.26/2.66 [d, d] [d, d] [d, d] [d, b] -> [d, g] [g, c] [c, b] , 9.26/2.66 [d, f] [f, b] -> [d, a] [a, g] [g, b] , 9.26/2.66 [d, c] [c, c] [c, c] -> [d, d] [d, d] [d, d] [d, c] , 9.26/2.66 [d, c] [c, c] -> [d, g] [g, c] , 9.26/2.66 [d, d] [d, d] [d, c] -> [d, c] [c, f] [f, c] , 9.26/2.66 [d, d] [d, d] [d, d] [d, c] -> [d, g] [g, c] [c, c] , 9.26/2.66 [d, f] [f, c] -> [d, a] [a, g] [g, c] , 9.26/2.66 [d, c] [c, c] [c, d] -> [d, d] [d, d] [d, d] [d, d] , 9.26/2.66 [d, c] [c, d] -> [d, g] [g, d] , 9.26/2.66 [d, d] [d, d] [d, d] -> [d, c] [c, f] [f, d] , 9.26/2.66 [d, d] [d, d] [d, d] [d, d] -> [d, g] [g, c] [c, d] , 9.26/2.66 [d, f] [f, d] -> [d, a] [a, g] [g, d] , 9.26/2.66 [d, c] [c, c] [c, g] -> [d, d] [d, d] [d, d] [d, g] , 9.26/2.66 [d, c] [c, g] -> [d, g] [g, g] , 9.26/2.66 [d, d] [d, d] [d, g] -> [d, c] [c, f] [f, g] , 9.26/2.66 [d, d] [d, d] [d, d] [d, g] -> [d, g] [g, c] [c, g] , 9.26/2.66 [d, f] [f, g] -> [d, a] [a, g] [g, g] , 9.26/2.66 [d, c] [c, c] [c, f] -> [d, d] [d, d] [d, d] [d, f] , 9.26/2.66 [d, c] [c, f] -> [d, g] [g, f] , 9.26/2.66 [d, d] [d, d] [d, f] -> [d, c] [c, f] [f, f] , 9.26/2.66 [d, d] [d, d] [d, d] [d, f] -> [d, g] [g, c] [c, f] , 9.26/2.66 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.26/2.66 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.26/2.66 [d, c] [c, c] [c, a] -> [d, d] [d, d] [d, d] [d, a] , 9.26/2.66 [d, c] [c, a] -> [d, g] [g, a] , 9.26/2.66 [d, d] [d, d] [d, a] -> [d, c] [c, f] [f, a] , 9.26/2.66 [d, d] [d, d] [d, d] [d, a] -> [d, g] [g, c] [c, a] , 9.26/2.66 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.26/2.66 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.26/2.66 [g, c] [c, c] [c, b] -> [g, d] [d, d] [d, d] [d, b] , 9.26/2.66 [g, c] [c, b] -> [g, g] [g, b] , 9.26/2.66 [g, d] [d, d] [d, b] -> [g, c] [c, f] [f, b] , 9.26/2.66 [g, d] [d, d] [d, d] [d, b] -> [g, g] [g, c] [c, b] , 9.26/2.66 [g, f] [f, b] -> [g, a] [a, g] [g, b] , 9.26/2.66 [g, c] [c, c] [c, c] -> [g, d] [d, d] [d, d] [d, c] , 9.26/2.66 [g, c] [c, c] -> [g, g] [g, c] , 9.26/2.66 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.26/2.66 [g, d] [d, d] [d, d] [d, c] -> [g, g] [g, c] [c, c] , 9.26/2.66 [g, f] [f, c] -> [g, a] [a, g] [g, c] , 9.26/2.66 [g, c] [c, c] [c, d] -> [g, d] [d, d] [d, d] [d, d] , 9.26/2.66 [g, c] [c, d] -> [g, g] [g, d] , 9.26/2.66 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.26/2.66 [g, d] [d, d] [d, d] [d, d] -> [g, g] [g, c] [c, d] , 9.26/2.66 [g, f] [f, d] -> [g, a] [a, g] [g, d] , 9.26/2.66 [g, c] [c, c] [c, g] -> [g, d] [d, d] [d, d] [d, g] , 9.26/2.66 [g, c] [c, g] -> [g, g] [g, g] , 9.26/2.66 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.26/2.66 [g, d] [d, d] [d, d] [d, g] -> [g, g] [g, c] [c, g] , 9.26/2.66 [g, f] [f, g] -> [g, a] [a, g] [g, g] , 9.26/2.66 [g, c] [c, c] [c, f] -> [g, d] [d, d] [d, d] [d, f] , 9.26/2.66 [g, c] [c, f] -> [g, g] [g, f] , 9.26/2.66 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.26/2.66 [g, d] [d, d] [d, d] [d, f] -> [g, g] [g, c] [c, f] , 9.26/2.66 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.26/2.66 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.26/2.66 [g, c] [c, c] [c, a] -> [g, d] [d, d] [d, d] [d, a] , 9.26/2.66 [g, c] [c, a] -> [g, g] [g, a] , 9.26/2.66 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.26/2.66 [g, d] [d, d] [d, d] [d, a] -> [g, g] [g, c] [c, a] , 9.26/2.66 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.26/2.66 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.26/2.66 [f, c] [c, c] [c, b] -> [f, d] [d, d] [d, d] [d, b] , 9.26/2.66 [f, c] [c, b] -> [f, g] [g, b] , 9.26/2.66 [f, d] [d, d] [d, b] -> [f, c] [c, f] [f, b] , 9.26/2.66 [f, d] [d, d] [d, d] [d, b] -> [f, g] [g, c] [c, b] , 9.26/2.66 [f, f] [f, b] -> [f, a] [a, g] [g, b] , 9.26/2.66 [f, c] [c, c] [c, c] -> [f, d] [d, d] [d, d] [d, c] , 9.26/2.66 [f, c] [c, c] -> [f, g] [g, c] , 9.26/2.66 [f, d] [d, d] [d, c] -> [f, c] [c, f] [f, c] , 9.26/2.66 [f, d] [d, d] [d, d] [d, c] -> [f, g] [g, c] [c, c] , 9.26/2.66 [f, f] [f, c] -> [f, a] [a, g] [g, c] , 9.26/2.66 [f, c] [c, c] [c, d] -> [f, d] [d, d] [d, d] [d, d] , 9.26/2.66 [f, c] [c, d] -> [f, g] [g, d] , 9.26/2.66 [f, d] [d, d] [d, d] -> [f, c] [c, f] [f, d] , 9.26/2.66 [f, d] [d, d] [d, d] [d, d] -> [f, g] [g, c] [c, d] , 9.26/2.66 [f, f] [f, d] -> [f, a] [a, g] [g, d] , 9.26/2.66 [f, c] [c, c] [c, g] -> [f, d] [d, d] [d, d] [d, g] , 9.26/2.66 [f, c] [c, g] -> [f, g] [g, g] , 9.26/2.66 [f, d] [d, d] [d, g] -> [f, c] [c, f] [f, g] , 9.26/2.66 [f, d] [d, d] [d, d] [d, g] -> [f, g] [g, c] [c, g] , 9.26/2.66 [f, f] [f, g] -> [f, a] [a, g] [g, g] , 9.26/2.66 [f, c] [c, c] [c, f] -> [f, d] [d, d] [d, d] [d, f] , 9.26/2.66 [f, c] [c, f] -> [f, g] [g, f] , 9.26/2.66 [f, d] [d, d] [d, f] -> [f, c] [c, f] [f, f] , 9.26/2.66 [f, d] [d, d] [d, d] [d, f] -> [f, g] [g, c] [c, f] , 9.26/2.66 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.26/2.66 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.26/2.66 [f, c] [c, c] [c, a] -> [f, d] [d, d] [d, d] [d, a] , 9.26/2.66 [f, c] [c, a] -> [f, g] [g, a] , 9.26/2.66 [f, d] [d, d] [d, a] -> [f, c] [c, f] [f, a] , 9.26/2.66 [f, d] [d, d] [d, d] [d, a] -> [f, g] [g, c] [c, a] , 9.26/2.66 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.26/2.66 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.26/2.66 [a, c] [c, c] [c, b] -> [a, d] [d, d] [d, d] [d, b] , 9.26/2.66 [a, c] [c, b] -> [a, g] [g, b] , 9.26/2.66 [a, d] [d, d] [d, b] -> [a, c] [c, f] [f, b] , 9.26/2.66 [a, d] [d, d] [d, d] [d, b] -> [a, g] [g, c] [c, b] , 9.26/2.66 [a, c] [c, c] [c, c] -> [a, d] [d, d] [d, d] [d, c] , 9.26/2.66 [a, c] [c, c] -> [a, g] [g, c] , 9.26/2.66 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.26/2.66 [a, d] [d, d] [d, d] [d, c] -> [a, g] [g, c] [c, c] , 9.26/2.66 [a, c] [c, c] [c, d] -> [a, d] [d, d] [d, d] [d, d] , 9.26/2.66 [a, c] [c, d] -> [a, g] [g, d] , 9.26/2.66 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.26/2.66 [a, d] [d, d] [d, d] [d, d] -> [a, g] [g, c] [c, d] , 9.26/2.66 [a, c] [c, c] [c, g] -> [a, d] [d, d] [d, d] [d, g] , 9.26/2.66 [a, c] [c, g] -> [a, g] [g, g] , 9.26/2.66 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.26/2.66 [a, d] [d, d] [d, d] [d, g] -> [a, g] [g, c] [c, g] , 9.26/2.66 [a, c] [c, c] [c, f] -> [a, d] [d, d] [d, d] [d, f] , 9.26/2.66 [a, c] [c, f] -> [a, g] [g, f] , 9.26/2.66 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.26/2.66 [a, d] [d, d] [d, d] [d, f] -> [a, g] [g, c] [c, f] , 9.26/2.66 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.26/2.66 [a, c] [c, c] [c, a] -> [a, d] [d, d] [d, d] [d, a] , 9.26/2.66 [a, c] [c, a] -> [a, g] [g, a] , 9.26/2.66 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.26/2.66 [a, d] [d, d] [d, d] [d, a] -> [a, g] [g, c] [c, a] , 9.26/2.66 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.26/2.66 9.26/2.66 9.26/2.66 The system was filtered by the following matrix interpretation 9.26/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.26/2.66 9.26/2.66 [f, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 1 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 1 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, d] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [c, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [f, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 1 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, c] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, f] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [b, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, g] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [d, a] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [a, b] is interpreted by 9.26/2.66 / \ 9.26/2.66 | 1 0 | 9.26/2.66 | 0 1 | 9.26/2.66 \ / 9.26/2.66 [g, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 9.54/2.66 Remains to prove termination of the 175-rule system 9.54/2.66 { [b, c] [c, c] [c, b] -> [b, d] [d, d] [d, d] [d, b] , 9.54/2.66 [b, d] [d, d] [d, b] -> [b, c] [c, f] [f, b] , 9.54/2.66 [b, d] [d, d] [d, d] [d, b] -> [b, g] [g, c] [c, b] , 9.54/2.66 [b, c] [c, c] [c, c] -> [b, d] [d, d] [d, d] [d, c] , 9.54/2.66 [b, c] [c, c] -> [b, g] [g, c] , 9.54/2.66 [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.54/2.66 [b, d] [d, d] [d, d] [d, c] -> [b, g] [g, c] [c, c] , 9.54/2.66 [b, f] [f, c] -> [b, a] [a, g] [g, c] , 9.54/2.66 [b, c] [c, c] [c, d] -> [b, d] [d, d] [d, d] [d, d] , 9.54/2.66 [b, c] [c, d] -> [b, g] [g, d] , 9.54/2.66 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.54/2.66 [b, d] [d, d] [d, d] [d, d] -> [b, g] [g, c] [c, d] , 9.54/2.66 [b, f] [f, d] -> [b, a] [a, g] [g, d] , 9.54/2.66 [b, c] [c, c] [c, g] -> [b, d] [d, d] [d, d] [d, g] , 9.54/2.66 [b, c] [c, g] -> [b, g] [g, g] , 9.54/2.66 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.54/2.66 [b, d] [d, d] [d, d] [d, g] -> [b, g] [g, c] [c, g] , 9.54/2.66 [b, f] [f, g] -> [b, a] [a, g] [g, g] , 9.54/2.66 [b, c] [c, c] [c, f] -> [b, d] [d, d] [d, d] [d, f] , 9.54/2.66 [b, c] [c, f] -> [b, g] [g, f] , 9.54/2.66 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.54/2.66 [b, d] [d, d] [d, d] [d, f] -> [b, g] [g, c] [c, f] , 9.54/2.66 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.66 [b, g] [g, f] -> [b, d] [d, a] [a, b] [b, f] , 9.54/2.66 [b, c] [c, c] [c, a] -> [b, d] [d, d] [d, d] [d, a] , 9.54/2.66 [b, c] [c, a] -> [b, g] [g, a] , 9.54/2.66 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.54/2.66 [b, d] [d, d] [d, d] [d, a] -> [b, g] [g, c] [c, a] , 9.54/2.66 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.66 [b, g] [g, a] -> [b, d] [d, a] [a, b] [b, a] , 9.54/2.66 [c, c] [c, c] [c, b] -> [c, d] [d, d] [d, d] [d, b] , 9.54/2.66 [c, d] [d, d] [d, b] -> [c, c] [c, f] [f, b] , 9.54/2.66 [c, d] [d, d] [d, d] [d, b] -> [c, g] [g, c] [c, b] , 9.54/2.66 [c, c] [c, c] [c, c] -> [c, d] [d, d] [d, d] [d, c] , 9.54/2.66 [c, c] [c, c] -> [c, g] [g, c] , 9.54/2.66 [c, d] [d, d] [d, c] -> [c, c] [c, f] [f, c] , 9.54/2.66 [c, d] [d, d] [d, d] [d, c] -> [c, g] [g, c] [c, c] , 9.54/2.66 [c, f] [f, c] -> [c, a] [a, g] [g, c] , 9.54/2.66 [c, c] [c, c] [c, d] -> [c, d] [d, d] [d, d] [d, d] , 9.54/2.66 [c, c] [c, d] -> [c, g] [g, d] , 9.54/2.66 [c, d] [d, d] [d, d] -> [c, c] [c, f] [f, d] , 9.54/2.66 [c, d] [d, d] [d, d] [d, d] -> [c, g] [g, c] [c, d] , 9.54/2.66 [c, f] [f, d] -> [c, a] [a, g] [g, d] , 9.54/2.66 [c, c] [c, c] [c, g] -> [c, d] [d, d] [d, d] [d, g] , 9.54/2.66 [c, c] [c, g] -> [c, g] [g, g] , 9.54/2.66 [c, d] [d, d] [d, g] -> [c, c] [c, f] [f, g] , 9.54/2.66 [c, d] [d, d] [d, d] [d, g] -> [c, g] [g, c] [c, g] , 9.54/2.66 [c, f] [f, g] -> [c, a] [a, g] [g, g] , 9.54/2.66 [c, c] [c, c] [c, f] -> [c, d] [d, d] [d, d] [d, f] , 9.54/2.66 [c, c] [c, f] -> [c, g] [g, f] , 9.54/2.66 [c, d] [d, d] [d, f] -> [c, c] [c, f] [f, f] , 9.54/2.66 [c, d] [d, d] [d, d] [d, f] -> [c, g] [g, c] [c, f] , 9.54/2.66 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.66 [c, g] [g, f] -> [c, d] [d, a] [a, b] [b, f] , 9.54/2.66 [c, c] [c, c] [c, a] -> [c, d] [d, d] [d, d] [d, a] , 9.54/2.66 [c, c] [c, a] -> [c, g] [g, a] , 9.54/2.66 [c, d] [d, d] [d, a] -> [c, c] [c, f] [f, a] , 9.54/2.66 [c, d] [d, d] [d, d] [d, a] -> [c, g] [g, c] [c, a] , 9.54/2.66 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.66 [c, g] [g, a] -> [c, d] [d, a] [a, b] [b, a] , 9.54/2.66 [d, c] [c, c] [c, b] -> [d, d] [d, d] [d, d] [d, b] , 9.54/2.66 [d, d] [d, d] [d, b] -> [d, c] [c, f] [f, b] , 9.54/2.66 [d, d] [d, d] [d, d] [d, b] -> [d, g] [g, c] [c, b] , 9.54/2.66 [d, c] [c, c] [c, c] -> [d, d] [d, d] [d, d] [d, c] , 9.54/2.66 [d, c] [c, c] -> [d, g] [g, c] , 9.54/2.66 [d, d] [d, d] [d, c] -> [d, c] [c, f] [f, c] , 9.54/2.66 [d, d] [d, d] [d, d] [d, c] -> [d, g] [g, c] [c, c] , 9.54/2.66 [d, f] [f, c] -> [d, a] [a, g] [g, c] , 9.54/2.66 [d, c] [c, c] [c, d] -> [d, d] [d, d] [d, d] [d, d] , 9.54/2.66 [d, c] [c, d] -> [d, g] [g, d] , 9.54/2.66 [d, d] [d, d] [d, d] -> [d, c] [c, f] [f, d] , 9.54/2.66 [d, d] [d, d] [d, d] [d, d] -> [d, g] [g, c] [c, d] , 9.54/2.66 [d, f] [f, d] -> [d, a] [a, g] [g, d] , 9.54/2.66 [d, c] [c, c] [c, g] -> [d, d] [d, d] [d, d] [d, g] , 9.54/2.66 [d, c] [c, g] -> [d, g] [g, g] , 9.54/2.66 [d, d] [d, d] [d, g] -> [d, c] [c, f] [f, g] , 9.54/2.66 [d, d] [d, d] [d, d] [d, g] -> [d, g] [g, c] [c, g] , 9.54/2.66 [d, f] [f, g] -> [d, a] [a, g] [g, g] , 9.54/2.66 [d, c] [c, c] [c, f] -> [d, d] [d, d] [d, d] [d, f] , 9.54/2.66 [d, c] [c, f] -> [d, g] [g, f] , 9.54/2.66 [d, d] [d, d] [d, f] -> [d, c] [c, f] [f, f] , 9.54/2.66 [d, d] [d, d] [d, d] [d, f] -> [d, g] [g, c] [c, f] , 9.54/2.66 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.66 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.66 [d, c] [c, c] [c, a] -> [d, d] [d, d] [d, d] [d, a] , 9.54/2.66 [d, c] [c, a] -> [d, g] [g, a] , 9.54/2.66 [d, d] [d, d] [d, a] -> [d, c] [c, f] [f, a] , 9.54/2.66 [d, d] [d, d] [d, d] [d, a] -> [d, g] [g, c] [c, a] , 9.54/2.66 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.66 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.66 [g, c] [c, c] [c, b] -> [g, d] [d, d] [d, d] [d, b] , 9.54/2.66 [g, d] [d, d] [d, b] -> [g, c] [c, f] [f, b] , 9.54/2.66 [g, d] [d, d] [d, d] [d, b] -> [g, g] [g, c] [c, b] , 9.54/2.66 [g, c] [c, c] [c, c] -> [g, d] [d, d] [d, d] [d, c] , 9.54/2.66 [g, c] [c, c] -> [g, g] [g, c] , 9.54/2.66 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.54/2.66 [g, d] [d, d] [d, d] [d, c] -> [g, g] [g, c] [c, c] , 9.54/2.66 [g, f] [f, c] -> [g, a] [a, g] [g, c] , 9.54/2.66 [g, c] [c, c] [c, d] -> [g, d] [d, d] [d, d] [d, d] , 9.54/2.66 [g, c] [c, d] -> [g, g] [g, d] , 9.54/2.66 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.66 [g, d] [d, d] [d, d] [d, d] -> [g, g] [g, c] [c, d] , 9.54/2.66 [g, f] [f, d] -> [g, a] [a, g] [g, d] , 9.54/2.66 [g, c] [c, c] [c, g] -> [g, d] [d, d] [d, d] [d, g] , 9.54/2.66 [g, c] [c, g] -> [g, g] [g, g] , 9.54/2.66 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.66 [g, d] [d, d] [d, d] [d, g] -> [g, g] [g, c] [c, g] , 9.54/2.66 [g, f] [f, g] -> [g, a] [a, g] [g, g] , 9.54/2.66 [g, c] [c, c] [c, f] -> [g, d] [d, d] [d, d] [d, f] , 9.54/2.66 [g, c] [c, f] -> [g, g] [g, f] , 9.54/2.66 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.66 [g, d] [d, d] [d, d] [d, f] -> [g, g] [g, c] [c, f] , 9.54/2.66 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.66 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.54/2.66 [g, c] [c, c] [c, a] -> [g, d] [d, d] [d, d] [d, a] , 9.54/2.66 [g, c] [c, a] -> [g, g] [g, a] , 9.54/2.66 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.66 [g, d] [d, d] [d, d] [d, a] -> [g, g] [g, c] [c, a] , 9.54/2.66 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.66 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.54/2.66 [f, c] [c, c] [c, b] -> [f, d] [d, d] [d, d] [d, b] , 9.54/2.66 [f, d] [d, d] [d, b] -> [f, c] [c, f] [f, b] , 9.54/2.66 [f, d] [d, d] [d, d] [d, b] -> [f, g] [g, c] [c, b] , 9.54/2.66 [f, c] [c, c] [c, c] -> [f, d] [d, d] [d, d] [d, c] , 9.54/2.66 [f, c] [c, c] -> [f, g] [g, c] , 9.54/2.66 [f, d] [d, d] [d, c] -> [f, c] [c, f] [f, c] , 9.54/2.66 [f, d] [d, d] [d, d] [d, c] -> [f, g] [g, c] [c, c] , 9.54/2.66 [f, f] [f, c] -> [f, a] [a, g] [g, c] , 9.54/2.66 [f, c] [c, c] [c, d] -> [f, d] [d, d] [d, d] [d, d] , 9.54/2.66 [f, c] [c, d] -> [f, g] [g, d] , 9.54/2.66 [f, d] [d, d] [d, d] -> [f, c] [c, f] [f, d] , 9.54/2.66 [f, d] [d, d] [d, d] [d, d] -> [f, g] [g, c] [c, d] , 9.54/2.66 [f, f] [f, d] -> [f, a] [a, g] [g, d] , 9.54/2.66 [f, c] [c, c] [c, g] -> [f, d] [d, d] [d, d] [d, g] , 9.54/2.66 [f, c] [c, g] -> [f, g] [g, g] , 9.54/2.66 [f, d] [d, d] [d, g] -> [f, c] [c, f] [f, g] , 9.54/2.66 [f, d] [d, d] [d, d] [d, g] -> [f, g] [g, c] [c, g] , 9.54/2.66 [f, f] [f, g] -> [f, a] [a, g] [g, g] , 9.54/2.66 [f, c] [c, c] [c, f] -> [f, d] [d, d] [d, d] [d, f] , 9.54/2.66 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.66 [f, d] [d, d] [d, f] -> [f, c] [c, f] [f, f] , 9.54/2.66 [f, d] [d, d] [d, d] [d, f] -> [f, g] [g, c] [c, f] , 9.54/2.66 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.66 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.66 [f, c] [c, c] [c, a] -> [f, d] [d, d] [d, d] [d, a] , 9.54/2.66 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.66 [f, d] [d, d] [d, a] -> [f, c] [c, f] [f, a] , 9.54/2.66 [f, d] [d, d] [d, d] [d, a] -> [f, g] [g, c] [c, a] , 9.54/2.66 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.66 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.66 [a, c] [c, c] [c, b] -> [a, d] [d, d] [d, d] [d, b] , 9.54/2.66 [a, d] [d, d] [d, b] -> [a, c] [c, f] [f, b] , 9.54/2.66 [a, d] [d, d] [d, d] [d, b] -> [a, g] [g, c] [c, b] , 9.54/2.66 [a, c] [c, c] [c, c] -> [a, d] [d, d] [d, d] [d, c] , 9.54/2.66 [a, c] [c, c] -> [a, g] [g, c] , 9.54/2.66 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.54/2.66 [a, d] [d, d] [d, d] [d, c] -> [a, g] [g, c] [c, c] , 9.54/2.66 [a, c] [c, c] [c, d] -> [a, d] [d, d] [d, d] [d, d] , 9.54/2.66 [a, c] [c, d] -> [a, g] [g, d] , 9.54/2.66 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.66 [a, d] [d, d] [d, d] [d, d] -> [a, g] [g, c] [c, d] , 9.54/2.66 [a, c] [c, c] [c, g] -> [a, d] [d, d] [d, d] [d, g] , 9.54/2.66 [a, c] [c, g] -> [a, g] [g, g] , 9.54/2.66 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.66 [a, d] [d, d] [d, d] [d, g] -> [a, g] [g, c] [c, g] , 9.54/2.66 [a, c] [c, c] [c, f] -> [a, d] [d, d] [d, d] [d, f] , 9.54/2.66 [a, c] [c, f] -> [a, g] [g, f] , 9.54/2.66 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.66 [a, d] [d, d] [d, d] [d, f] -> [a, g] [g, c] [c, f] , 9.54/2.66 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.66 [a, c] [c, c] [c, a] -> [a, d] [d, d] [d, d] [d, a] , 9.54/2.66 [a, c] [c, a] -> [a, g] [g, a] , 9.54/2.66 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.66 [a, d] [d, d] [d, d] [d, a] -> [a, g] [g, c] [c, a] , 9.54/2.66 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.66 9.54/2.66 9.54/2.66 The system was filtered by the following matrix interpretation 9.54/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.66 9.54/2.66 [f, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [a, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [a, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, b] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 1 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, b] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 1 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, b] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [a, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [a, b] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [f, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 9.54/2.66 Remains to prove termination of the 169-rule system 9.54/2.66 { [b, c] [c, c] [c, b] -> [b, d] [d, d] [d, d] [d, b] , 9.54/2.66 [b, d] [d, d] [d, d] [d, b] -> [b, g] [g, c] [c, b] , 9.54/2.66 [b, c] [c, c] [c, c] -> [b, d] [d, d] [d, d] [d, c] , 9.54/2.66 [b, c] [c, c] -> [b, g] [g, c] , 9.54/2.66 [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.54/2.66 [b, d] [d, d] [d, d] [d, c] -> [b, g] [g, c] [c, c] , 9.54/2.66 [b, f] [f, c] -> [b, a] [a, g] [g, c] , 9.54/2.66 [b, c] [c, c] [c, d] -> [b, d] [d, d] [d, d] [d, d] , 9.54/2.66 [b, c] [c, d] -> [b, g] [g, d] , 9.54/2.66 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.54/2.66 [b, d] [d, d] [d, d] [d, d] -> [b, g] [g, c] [c, d] , 9.54/2.66 [b, f] [f, d] -> [b, a] [a, g] [g, d] , 9.54/2.66 [b, c] [c, c] [c, g] -> [b, d] [d, d] [d, d] [d, g] , 9.54/2.66 [b, c] [c, g] -> [b, g] [g, g] , 9.54/2.66 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.54/2.66 [b, d] [d, d] [d, d] [d, g] -> [b, g] [g, c] [c, g] , 9.54/2.66 [b, f] [f, g] -> [b, a] [a, g] [g, g] , 9.54/2.66 [b, c] [c, c] [c, f] -> [b, d] [d, d] [d, d] [d, f] , 9.54/2.66 [b, c] [c, f] -> [b, g] [g, f] , 9.54/2.66 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.54/2.66 [b, d] [d, d] [d, d] [d, f] -> [b, g] [g, c] [c, f] , 9.54/2.66 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.66 [b, g] [g, f] -> [b, d] [d, a] [a, b] [b, f] , 9.54/2.66 [b, c] [c, c] [c, a] -> [b, d] [d, d] [d, d] [d, a] , 9.54/2.66 [b, c] [c, a] -> [b, g] [g, a] , 9.54/2.66 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.54/2.66 [b, d] [d, d] [d, d] [d, a] -> [b, g] [g, c] [c, a] , 9.54/2.66 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.66 [b, g] [g, a] -> [b, d] [d, a] [a, b] [b, a] , 9.54/2.66 [c, c] [c, c] [c, b] -> [c, d] [d, d] [d, d] [d, b] , 9.54/2.66 [c, d] [d, d] [d, d] [d, b] -> [c, g] [g, c] [c, b] , 9.54/2.66 [c, c] [c, c] [c, c] -> [c, d] [d, d] [d, d] [d, c] , 9.54/2.66 [c, c] [c, c] -> [c, g] [g, c] , 9.54/2.66 [c, d] [d, d] [d, c] -> [c, c] [c, f] [f, c] , 9.54/2.66 [c, d] [d, d] [d, d] [d, c] -> [c, g] [g, c] [c, c] , 9.54/2.66 [c, f] [f, c] -> [c, a] [a, g] [g, c] , 9.54/2.66 [c, c] [c, c] [c, d] -> [c, d] [d, d] [d, d] [d, d] , 9.54/2.66 [c, c] [c, d] -> [c, g] [g, d] , 9.54/2.66 [c, d] [d, d] [d, d] -> [c, c] [c, f] [f, d] , 9.54/2.66 [c, d] [d, d] [d, d] [d, d] -> [c, g] [g, c] [c, d] , 9.54/2.66 [c, f] [f, d] -> [c, a] [a, g] [g, d] , 9.54/2.66 [c, c] [c, c] [c, g] -> [c, d] [d, d] [d, d] [d, g] , 9.54/2.66 [c, c] [c, g] -> [c, g] [g, g] , 9.54/2.66 [c, d] [d, d] [d, g] -> [c, c] [c, f] [f, g] , 9.54/2.66 [c, d] [d, d] [d, d] [d, g] -> [c, g] [g, c] [c, g] , 9.54/2.66 [c, f] [f, g] -> [c, a] [a, g] [g, g] , 9.54/2.66 [c, c] [c, c] [c, f] -> [c, d] [d, d] [d, d] [d, f] , 9.54/2.66 [c, c] [c, f] -> [c, g] [g, f] , 9.54/2.66 [c, d] [d, d] [d, f] -> [c, c] [c, f] [f, f] , 9.54/2.66 [c, d] [d, d] [d, d] [d, f] -> [c, g] [g, c] [c, f] , 9.54/2.66 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.66 [c, g] [g, f] -> [c, d] [d, a] [a, b] [b, f] , 9.54/2.66 [c, c] [c, c] [c, a] -> [c, d] [d, d] [d, d] [d, a] , 9.54/2.66 [c, c] [c, a] -> [c, g] [g, a] , 9.54/2.66 [c, d] [d, d] [d, a] -> [c, c] [c, f] [f, a] , 9.54/2.66 [c, d] [d, d] [d, d] [d, a] -> [c, g] [g, c] [c, a] , 9.54/2.66 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.66 [c, g] [g, a] -> [c, d] [d, a] [a, b] [b, a] , 9.54/2.66 [d, c] [c, c] [c, b] -> [d, d] [d, d] [d, d] [d, b] , 9.54/2.66 [d, d] [d, d] [d, d] [d, b] -> [d, g] [g, c] [c, b] , 9.54/2.66 [d, c] [c, c] [c, c] -> [d, d] [d, d] [d, d] [d, c] , 9.54/2.66 [d, c] [c, c] -> [d, g] [g, c] , 9.54/2.66 [d, d] [d, d] [d, c] -> [d, c] [c, f] [f, c] , 9.54/2.66 [d, d] [d, d] [d, d] [d, c] -> [d, g] [g, c] [c, c] , 9.54/2.66 [d, f] [f, c] -> [d, a] [a, g] [g, c] , 9.54/2.66 [d, c] [c, c] [c, d] -> [d, d] [d, d] [d, d] [d, d] , 9.54/2.66 [d, c] [c, d] -> [d, g] [g, d] , 9.54/2.66 [d, d] [d, d] [d, d] -> [d, c] [c, f] [f, d] , 9.54/2.66 [d, d] [d, d] [d, d] [d, d] -> [d, g] [g, c] [c, d] , 9.54/2.66 [d, f] [f, d] -> [d, a] [a, g] [g, d] , 9.54/2.66 [d, c] [c, c] [c, g] -> [d, d] [d, d] [d, d] [d, g] , 9.54/2.66 [d, c] [c, g] -> [d, g] [g, g] , 9.54/2.66 [d, d] [d, d] [d, g] -> [d, c] [c, f] [f, g] , 9.54/2.66 [d, d] [d, d] [d, d] [d, g] -> [d, g] [g, c] [c, g] , 9.54/2.66 [d, f] [f, g] -> [d, a] [a, g] [g, g] , 9.54/2.66 [d, c] [c, c] [c, f] -> [d, d] [d, d] [d, d] [d, f] , 9.54/2.66 [d, c] [c, f] -> [d, g] [g, f] , 9.54/2.66 [d, d] [d, d] [d, f] -> [d, c] [c, f] [f, f] , 9.54/2.66 [d, d] [d, d] [d, d] [d, f] -> [d, g] [g, c] [c, f] , 9.54/2.66 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.66 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.66 [d, c] [c, c] [c, a] -> [d, d] [d, d] [d, d] [d, a] , 9.54/2.66 [d, c] [c, a] -> [d, g] [g, a] , 9.54/2.66 [d, d] [d, d] [d, a] -> [d, c] [c, f] [f, a] , 9.54/2.66 [d, d] [d, d] [d, d] [d, a] -> [d, g] [g, c] [c, a] , 9.54/2.66 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.66 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.66 [g, c] [c, c] [c, b] -> [g, d] [d, d] [d, d] [d, b] , 9.54/2.66 [g, d] [d, d] [d, d] [d, b] -> [g, g] [g, c] [c, b] , 9.54/2.66 [g, c] [c, c] [c, c] -> [g, d] [d, d] [d, d] [d, c] , 9.54/2.66 [g, c] [c, c] -> [g, g] [g, c] , 9.54/2.66 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.54/2.66 [g, d] [d, d] [d, d] [d, c] -> [g, g] [g, c] [c, c] , 9.54/2.66 [g, f] [f, c] -> [g, a] [a, g] [g, c] , 9.54/2.66 [g, c] [c, c] [c, d] -> [g, d] [d, d] [d, d] [d, d] , 9.54/2.66 [g, c] [c, d] -> [g, g] [g, d] , 9.54/2.66 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.66 [g, d] [d, d] [d, d] [d, d] -> [g, g] [g, c] [c, d] , 9.54/2.66 [g, f] [f, d] -> [g, a] [a, g] [g, d] , 9.54/2.66 [g, c] [c, c] [c, g] -> [g, d] [d, d] [d, d] [d, g] , 9.54/2.66 [g, c] [c, g] -> [g, g] [g, g] , 9.54/2.66 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.66 [g, d] [d, d] [d, d] [d, g] -> [g, g] [g, c] [c, g] , 9.54/2.66 [g, f] [f, g] -> [g, a] [a, g] [g, g] , 9.54/2.66 [g, c] [c, c] [c, f] -> [g, d] [d, d] [d, d] [d, f] , 9.54/2.66 [g, c] [c, f] -> [g, g] [g, f] , 9.54/2.66 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.66 [g, d] [d, d] [d, d] [d, f] -> [g, g] [g, c] [c, f] , 9.54/2.66 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.66 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.54/2.66 [g, c] [c, c] [c, a] -> [g, d] [d, d] [d, d] [d, a] , 9.54/2.66 [g, c] [c, a] -> [g, g] [g, a] , 9.54/2.66 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.66 [g, d] [d, d] [d, d] [d, a] -> [g, g] [g, c] [c, a] , 9.54/2.66 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.66 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.54/2.66 [f, c] [c, c] [c, b] -> [f, d] [d, d] [d, d] [d, b] , 9.54/2.66 [f, d] [d, d] [d, d] [d, b] -> [f, g] [g, c] [c, b] , 9.54/2.66 [f, c] [c, c] [c, c] -> [f, d] [d, d] [d, d] [d, c] , 9.54/2.66 [f, c] [c, c] -> [f, g] [g, c] , 9.54/2.66 [f, d] [d, d] [d, c] -> [f, c] [c, f] [f, c] , 9.54/2.66 [f, d] [d, d] [d, d] [d, c] -> [f, g] [g, c] [c, c] , 9.54/2.66 [f, f] [f, c] -> [f, a] [a, g] [g, c] , 9.54/2.66 [f, c] [c, c] [c, d] -> [f, d] [d, d] [d, d] [d, d] , 9.54/2.66 [f, c] [c, d] -> [f, g] [g, d] , 9.54/2.66 [f, d] [d, d] [d, d] -> [f, c] [c, f] [f, d] , 9.54/2.66 [f, d] [d, d] [d, d] [d, d] -> [f, g] [g, c] [c, d] , 9.54/2.66 [f, f] [f, d] -> [f, a] [a, g] [g, d] , 9.54/2.66 [f, c] [c, c] [c, g] -> [f, d] [d, d] [d, d] [d, g] , 9.54/2.66 [f, c] [c, g] -> [f, g] [g, g] , 9.54/2.66 [f, d] [d, d] [d, g] -> [f, c] [c, f] [f, g] , 9.54/2.66 [f, d] [d, d] [d, d] [d, g] -> [f, g] [g, c] [c, g] , 9.54/2.66 [f, f] [f, g] -> [f, a] [a, g] [g, g] , 9.54/2.66 [f, c] [c, c] [c, f] -> [f, d] [d, d] [d, d] [d, f] , 9.54/2.66 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.66 [f, d] [d, d] [d, f] -> [f, c] [c, f] [f, f] , 9.54/2.66 [f, d] [d, d] [d, d] [d, f] -> [f, g] [g, c] [c, f] , 9.54/2.66 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.66 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.66 [f, c] [c, c] [c, a] -> [f, d] [d, d] [d, d] [d, a] , 9.54/2.66 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.66 [f, d] [d, d] [d, a] -> [f, c] [c, f] [f, a] , 9.54/2.66 [f, d] [d, d] [d, d] [d, a] -> [f, g] [g, c] [c, a] , 9.54/2.66 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.66 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.66 [a, c] [c, c] [c, b] -> [a, d] [d, d] [d, d] [d, b] , 9.54/2.66 [a, d] [d, d] [d, d] [d, b] -> [a, g] [g, c] [c, b] , 9.54/2.66 [a, c] [c, c] [c, c] -> [a, d] [d, d] [d, d] [d, c] , 9.54/2.66 [a, c] [c, c] -> [a, g] [g, c] , 9.54/2.66 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.54/2.66 [a, d] [d, d] [d, d] [d, c] -> [a, g] [g, c] [c, c] , 9.54/2.66 [a, c] [c, c] [c, d] -> [a, d] [d, d] [d, d] [d, d] , 9.54/2.66 [a, c] [c, d] -> [a, g] [g, d] , 9.54/2.66 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.66 [a, d] [d, d] [d, d] [d, d] -> [a, g] [g, c] [c, d] , 9.54/2.66 [a, c] [c, c] [c, g] -> [a, d] [d, d] [d, d] [d, g] , 9.54/2.66 [a, c] [c, g] -> [a, g] [g, g] , 9.54/2.66 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.66 [a, d] [d, d] [d, d] [d, g] -> [a, g] [g, c] [c, g] , 9.54/2.66 [a, c] [c, c] [c, f] -> [a, d] [d, d] [d, d] [d, f] , 9.54/2.66 [a, c] [c, f] -> [a, g] [g, f] , 9.54/2.66 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.66 [a, d] [d, d] [d, d] [d, f] -> [a, g] [g, c] [c, f] , 9.54/2.66 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.66 [a, c] [c, c] [c, a] -> [a, d] [d, d] [d, d] [d, a] , 9.54/2.66 [a, c] [c, a] -> [a, g] [g, a] , 9.54/2.66 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.66 [a, d] [d, d] [d, d] [d, a] -> [a, g] [g, c] [c, a] , 9.54/2.66 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.66 9.54/2.66 9.54/2.66 The system was filtered by the following matrix interpretation 9.54/2.66 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.66 9.54/2.66 [f, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [a, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [a, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 5 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, b] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 5 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, b] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 2 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, d] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 3 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 2 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [c, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 3 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, c] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, f] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 2 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [b, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 1 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [a, g] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 1 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [d, a] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [a, b] is interpreted by 9.54/2.66 / \ 9.54/2.66 | 1 0 | 9.54/2.66 | 0 1 | 9.54/2.66 \ / 9.54/2.66 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 2 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 2 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 3 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 4 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 7 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 4 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 2 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 54-rule system 9.54/2.67 { [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.54/2.67 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.54/2.67 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.54/2.67 [b, c] [c, f] -> [b, g] [g, f] , 9.54/2.67 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.54/2.67 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, c] [c, a] -> [b, g] [g, a] , 9.54/2.67 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, d] [d, d] [d, c] -> [c, c] [c, f] [f, c] , 9.54/2.67 [c, d] [d, d] [d, d] -> [c, c] [c, f] [f, d] , 9.54/2.67 [c, d] [d, d] [d, g] -> [c, c] [c, f] [f, g] , 9.54/2.67 [c, c] [c, f] -> [c, g] [g, f] , 9.54/2.67 [c, d] [d, d] [d, f] -> [c, c] [c, f] [f, f] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, c] [c, a] -> [c, g] [g, a] , 9.54/2.67 [c, d] [d, d] [d, a] -> [c, c] [c, f] [f, a] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, c] [c, c] [c, b] -> [d, d] [d, d] [d, d] [d, b] , 9.54/2.67 [d, c] [c, c] [c, d] -> [d, d] [d, d] [d, d] [d, d] , 9.54/2.67 [d, c] [c, c] [c, f] -> [d, d] [d, d] [d, d] [d, f] , 9.54/2.67 [d, c] [c, f] -> [d, g] [g, f] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, c] [c, c] [c, a] -> [d, d] [d, d] [d, d] [d, a] , 9.54/2.67 [d, c] [c, a] -> [d, g] [g, a] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.54/2.67 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.67 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.67 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.54/2.67 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.54/2.67 [f, c] [c, c] [c, b] -> [f, d] [d, d] [d, d] [d, b] , 9.54/2.67 [f, c] [c, c] [c, d] -> [f, d] [d, d] [d, d] [d, d] , 9.54/2.67 [f, c] [c, c] [c, f] -> [f, d] [d, d] [d, d] [d, f] , 9.54/2.67 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, c] [c, c] [c, a] -> [f, d] [d, d] [d, d] [d, a] , 9.54/2.67 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 47-rule system 9.54/2.67 { [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.54/2.67 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.54/2.67 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.54/2.67 [b, c] [c, f] -> [b, g] [g, f] , 9.54/2.67 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.54/2.67 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, c] [c, a] -> [b, g] [g, a] , 9.54/2.67 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, c] [c, f] -> [c, g] [g, f] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, c] [c, a] -> [c, g] [g, a] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, c] [c, c] [c, b] -> [d, d] [d, d] [d, d] [d, b] , 9.54/2.67 [d, c] [c, c] [c, f] -> [d, d] [d, d] [d, d] [d, f] , 9.54/2.67 [d, c] [c, f] -> [d, g] [g, f] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, c] [c, c] [c, a] -> [d, d] [d, d] [d, d] [d, a] , 9.54/2.67 [d, c] [c, a] -> [d, g] [g, a] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.54/2.67 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.67 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.67 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.54/2.67 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.54/2.67 [f, c] [c, c] [c, b] -> [f, d] [d, d] [d, d] [d, b] , 9.54/2.67 [f, c] [c, c] [c, f] -> [f, d] [d, d] [d, d] [d, f] , 9.54/2.67 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, c] [c, c] [c, a] -> [f, d] [d, d] [d, d] [d, a] , 9.54/2.67 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 39-rule system 9.54/2.67 { [b, d] [d, d] [d, c] -> [b, c] [c, f] [f, c] , 9.54/2.67 [b, d] [d, d] [d, d] -> [b, c] [c, f] [f, d] , 9.54/2.67 [b, d] [d, d] [d, g] -> [b, c] [c, f] [f, g] , 9.54/2.67 [b, c] [c, f] -> [b, g] [g, f] , 9.54/2.67 [b, d] [d, d] [d, f] -> [b, c] [c, f] [f, f] , 9.54/2.67 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, c] [c, a] -> [b, g] [g, a] , 9.54/2.67 [b, d] [d, d] [d, a] -> [b, c] [c, f] [f, a] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, c] [c, f] -> [d, g] [g, f] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, c] [c, a] -> [d, g] [g, a] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.54/2.67 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.67 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.67 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.54/2.67 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.54/2.67 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 34-rule system 9.54/2.67 { [b, c] [c, f] -> [b, g] [g, f] , 9.54/2.67 [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, c] [c, a] -> [b, g] [g, a] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, c] [c, f] -> [d, g] [g, f] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, c] [c, a] -> [d, g] [g, a] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.54/2.67 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.67 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.67 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.54/2.67 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.54/2.67 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 32-rule system 9.54/2.67 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, c] [c, f] -> [d, g] [g, f] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, c] [c, a] -> [d, g] [g, a] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.54/2.67 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.67 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.67 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, g] [g, f] -> [g, d] [d, a] [a, b] [b, f] , 9.54/2.67 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [g, g] [g, a] -> [g, d] [d, a] [a, b] [b, a] , 9.54/2.67 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 30-rule system 9.54/2.67 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, c] [c, f] -> [d, g] [g, f] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, c] [c, a] -> [d, g] [g, a] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, d] [d, d] [d, c] -> [g, c] [c, f] [f, c] , 9.54/2.67 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.67 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.67 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, c] -> [a, c] [c, f] [f, c] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 26-rule system 9.54/2.67 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.67 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.67 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [f, c] [c, f] -> [f, g] [g, f] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, c] [c, a] -> [f, g] [g, a] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 24-rule system 9.54/2.67 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, d] [d, d] [d, d] -> [g, c] [c, f] [f, d] , 9.54/2.67 [g, d] [d, d] [d, g] -> [g, c] [c, f] [f, g] , 9.54/2.67 [g, d] [d, d] [d, f] -> [g, c] [c, f] [f, f] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, d] [d, d] [d, a] -> [g, c] [c, f] [f, a] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 20-rule system 9.54/2.67 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, g] [g, f] -> [d, d] [d, a] [a, b] [b, f] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [d, g] [g, a] -> [d, d] [d, a] [a, b] [b, a] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, g] -> [a, c] [c, f] [f, g] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 9.54/2.67 Remains to prove termination of the 17-rule system 9.54/2.67 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.54/2.67 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.54/2.67 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.54/2.67 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.54/2.67 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.54/2.67 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.54/2.67 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.54/2.67 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.54/2.67 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.54/2.67 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.54/2.67 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.54/2.67 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.54/2.67 [a, d] [d, d] [d, d] -> [a, c] [c, f] [f, d] , 9.54/2.67 [a, d] [d, d] [d, f] -> [a, c] [c, f] [f, f] , 9.54/2.67 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.54/2.67 [a, d] [d, d] [d, a] -> [a, c] [c, f] [f, a] , 9.54/2.67 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.54/2.67 9.54/2.67 9.54/2.67 The system was filtered by the following matrix interpretation 9.54/2.67 of type E_J with J = {1,...,2} and dimension 2: 9.54/2.67 9.54/2.67 [f, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [a, a] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [d, d] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 1 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [b, g] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [c, f] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [f, b] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.54/2.67 | 0 1 | 9.54/2.67 \ / 9.54/2.67 [g, c] is interpreted by 9.54/2.67 / \ 9.54/2.67 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 9.56/2.68 Remains to prove termination of the 14-rule system 9.56/2.68 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.56/2.68 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.56/2.68 [c, f] [f, f] -> [c, a] [a, g] [g, f] , 9.56/2.68 [c, f] [f, a] -> [c, a] [a, g] [g, a] , 9.56/2.68 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.56/2.68 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.56/2.68 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.56/2.68 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.56/2.68 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.56/2.68 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.56/2.68 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.56/2.68 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.56/2.68 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.56/2.68 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.56/2.68 9.56/2.68 9.56/2.68 The system was filtered by the following matrix interpretation 9.56/2.68 of type E_J with J = {1,...,2} and dimension 2: 9.56/2.68 9.56/2.68 [f, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 1 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 9.56/2.68 Remains to prove termination of the 12-rule system 9.56/2.68 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.56/2.68 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.56/2.68 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.56/2.68 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.56/2.68 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.56/2.68 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.56/2.68 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.56/2.68 [f, g] [g, f] -> [f, d] [d, a] [a, b] [b, f] , 9.56/2.68 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.56/2.68 [f, g] [g, a] -> [f, d] [d, a] [a, b] [b, a] , 9.56/2.68 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.56/2.68 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.56/2.68 9.56/2.68 9.56/2.68 The system was filtered by the following matrix interpretation 9.56/2.68 of type E_J with J = {1,...,2} and dimension 2: 9.56/2.68 9.56/2.68 [f, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 1 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 9.56/2.68 Remains to prove termination of the 10-rule system 9.56/2.68 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.56/2.68 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.56/2.68 [d, f] [f, f] -> [d, a] [a, g] [g, f] , 9.56/2.68 [d, f] [f, a] -> [d, a] [a, g] [g, a] , 9.56/2.68 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.56/2.68 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.56/2.68 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.56/2.68 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.56/2.68 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.56/2.68 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.56/2.68 9.56/2.68 9.56/2.68 The system was filtered by the following matrix interpretation 9.56/2.68 of type E_J with J = {1,...,2} and dimension 2: 9.56/2.68 9.56/2.68 [f, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 1 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 9.56/2.68 Remains to prove termination of the 8-rule system 9.56/2.68 { [b, f] [f, f] -> [b, a] [a, g] [g, f] , 9.56/2.68 [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.56/2.68 [g, f] [f, f] -> [g, a] [a, g] [g, f] , 9.56/2.68 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.56/2.68 [f, f] [f, f] -> [f, a] [a, g] [g, f] , 9.56/2.68 [f, f] [f, a] -> [f, a] [a, g] [g, a] , 9.56/2.68 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.56/2.68 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.56/2.68 9.56/2.68 9.56/2.68 The system was filtered by the following matrix interpretation 9.56/2.68 of type E_J with J = {1,...,2} and dimension 2: 9.56/2.68 9.56/2.68 [f, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 1 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 9.56/2.68 Remains to prove termination of the 4-rule system 9.56/2.68 { [b, f] [f, a] -> [b, a] [a, g] [g, a] , 9.56/2.68 [g, f] [f, a] -> [g, a] [a, g] [g, a] , 9.56/2.68 [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.56/2.68 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.56/2.68 9.56/2.68 9.56/2.68 The system was filtered by the following matrix interpretation 9.56/2.68 of type E_J with J = {1,...,2} and dimension 2: 9.56/2.68 9.56/2.68 [f, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 1 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 9.56/2.68 Remains to prove termination of the 2-rule system 9.56/2.68 { [a, g] [g, f] -> [a, d] [d, a] [a, b] [b, f] , 9.56/2.68 [a, g] [g, a] -> [a, d] [d, a] [a, b] [b, a] } 9.56/2.68 9.56/2.68 9.56/2.68 The system was filtered by the following matrix interpretation 9.56/2.68 of type E_J with J = {1,...,2} and dimension 2: 9.56/2.68 9.56/2.68 [f, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [b, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 1 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [a, b] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, c] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, d] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, g] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [d, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [f, f] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [c, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 [g, a] is interpreted by 9.56/2.68 / \ 9.56/2.68 | 1 0 | 9.56/2.68 | 0 1 | 9.56/2.68 \ / 9.56/2.68 9.56/2.68 Remains to prove termination of the 0-rule system 9.56/2.68 { } 9.56/2.68 9.56/2.68 9.56/2.68 The system is trivially terminating. 9.56/2.70 EOF