0.00/0.40 YES 0.00/0.41 0.00/0.41 0.00/0.41 The system was inverted. 0.00/0.41 0.00/0.41 Remains to prove termination of the 6-rule system 0.00/0.41 { b c a -> a b a , 0.00/0.41 a a a -> c c c , 0.00/0.41 a a a -> a b a , 0.00/0.41 c c a ->= c a c , 0.00/0.41 b a b ->= b c c , 0.00/0.41 c a b ->= a c b } 0.00/0.41 0.00/0.41 0.00/0.41 Applying context closure of depth 1 in the following form: System R over Sigma 0.00/0.41 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 0.00/0.41 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 0.00/0.41 0.00/0.41 Remains to prove termination of the 54-rule system 0.00/0.41 { [a, a] [a, b] [b, a] [a, a] -> [a, b] [b, c] [c, a] [a, a] , 0.00/0.41 [a, c] [c, c] [c, c] [c, a] -> [a, a] [a, a] [a, a] [a, a] , 0.00/0.41 [a, a] [a, b] [b, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] , 0.00/0.41 [a, c] [c, a] [a, c] [c, a] ->= [a, c] [c, c] [c, a] [a, a] , 0.00/0.41 [a, b] [b, c] [c, c] [c, a] ->= [a, b] [b, a] [a, b] [b, a] , 0.00/0.41 [a, a] [a, c] [c, b] [b, a] ->= [a, c] [c, a] [a, b] [b, a] , 0.00/0.41 [a, a] [a, b] [b, a] [a, b] -> [a, b] [b, c] [c, a] [a, b] , 0.00/0.41 [a, c] [c, c] [c, c] [c, b] -> [a, a] [a, a] [a, a] [a, b] , 0.00/0.41 [a, a] [a, b] [b, a] [a, b] -> [a, a] [a, a] [a, a] [a, b] , 0.00/0.41 [a, c] [c, a] [a, c] [c, b] ->= [a, c] [c, c] [c, a] [a, b] , 0.00/0.41 [a, b] [b, c] [c, c] [c, b] ->= [a, b] [b, a] [a, b] [b, b] , 0.00/0.41 [a, a] [a, c] [c, b] [b, b] ->= [a, c] [c, a] [a, b] [b, b] , 0.00/0.41 [a, a] [a, b] [b, a] [a, c] -> [a, b] [b, c] [c, a] [a, c] , 0.00/0.41 [a, c] [c, c] [c, c] [c, c] -> [a, a] [a, a] [a, a] [a, c] , 0.00/0.41 [a, a] [a, b] [b, a] [a, c] -> [a, a] [a, a] [a, a] [a, c] , 0.00/0.41 [a, c] [c, a] [a, c] [c, c] ->= [a, c] [c, c] [c, a] [a, c] , 0.00/0.41 [a, b] [b, c] [c, c] [c, c] ->= [a, b] [b, a] [a, b] [b, c] , 0.00/0.41 [a, a] [a, c] [c, b] [b, c] ->= [a, c] [c, a] [a, b] [b, c] , 0.00/0.41 [b, a] [a, b] [b, a] [a, a] -> [b, b] [b, c] [c, a] [a, a] , 0.00/0.41 [b, c] [c, c] [c, c] [c, a] -> [b, a] [a, a] [a, a] [a, a] , 0.00/0.41 [b, a] [a, b] [b, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] , 0.00/0.41 [b, c] [c, a] [a, c] [c, a] ->= [b, c] [c, c] [c, a] [a, a] , 0.00/0.41 [b, b] [b, c] [c, c] [c, a] ->= [b, b] [b, a] [a, b] [b, a] , 0.00/0.41 [b, a] [a, c] [c, b] [b, a] ->= [b, c] [c, a] [a, b] [b, a] , 0.00/0.41 [b, a] [a, b] [b, a] [a, b] -> [b, b] [b, c] [c, a] [a, b] , 0.00/0.41 [b, c] [c, c] [c, c] [c, b] -> [b, a] [a, a] [a, a] [a, b] , 0.00/0.41 [b, a] [a, b] [b, a] [a, b] -> [b, a] [a, a] [a, a] [a, b] , 0.00/0.41 [b, c] [c, a] [a, c] [c, b] ->= [b, c] [c, c] [c, a] [a, b] , 0.00/0.41 [b, b] [b, c] [c, c] [c, b] ->= [b, b] [b, a] [a, b] [b, b] , 0.00/0.41 [b, a] [a, c] [c, b] [b, b] ->= [b, c] [c, a] [a, b] [b, b] , 0.00/0.41 [b, a] [a, b] [b, a] [a, c] -> [b, b] [b, c] [c, a] [a, c] , 0.00/0.41 [b, c] [c, c] [c, c] [c, c] -> [b, a] [a, a] [a, a] [a, c] , 0.00/0.41 [b, a] [a, b] [b, a] [a, c] -> [b, a] [a, a] [a, a] [a, c] , 0.00/0.41 [b, c] [c, a] [a, c] [c, c] ->= [b, c] [c, c] [c, a] [a, c] , 0.00/0.41 [b, b] [b, c] [c, c] [c, c] ->= [b, b] [b, a] [a, b] [b, c] , 0.00/0.41 [b, a] [a, c] [c, b] [b, c] ->= [b, c] [c, a] [a, b] [b, c] , 0.00/0.41 [c, a] [a, b] [b, a] [a, a] -> [c, b] [b, c] [c, a] [a, a] , 0.00/0.41 [c, c] [c, c] [c, c] [c, a] -> [c, a] [a, a] [a, a] [a, a] , 0.00/0.41 [c, a] [a, b] [b, a] [a, a] -> [c, a] [a, a] [a, a] [a, a] , 0.00/0.41 [c, c] [c, a] [a, c] [c, a] ->= [c, c] [c, c] [c, a] [a, a] , 0.00/0.41 [c, b] [b, c] [c, c] [c, a] ->= [c, b] [b, a] [a, b] [b, a] , 0.00/0.41 [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, a] [a, b] [b, a] , 0.00/0.41 [c, a] [a, b] [b, a] [a, b] -> [c, b] [b, c] [c, a] [a, b] , 0.00/0.41 [c, c] [c, c] [c, c] [c, b] -> [c, a] [a, a] [a, a] [a, b] , 0.00/0.41 [c, a] [a, b] [b, a] [a, b] -> [c, a] [a, a] [a, a] [a, b] , 0.00/0.41 [c, c] [c, a] [a, c] [c, b] ->= [c, c] [c, c] [c, a] [a, b] , 0.00/0.41 [c, b] [b, c] [c, c] [c, b] ->= [c, b] [b, a] [a, b] [b, b] , 0.00/0.41 [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, a] [a, b] [b, b] , 0.00/0.41 [c, a] [a, b] [b, a] [a, c] -> [c, b] [b, c] [c, a] [a, c] , 0.00/0.41 [c, c] [c, c] [c, c] [c, c] -> [c, a] [a, a] [a, a] [a, c] , 0.00/0.41 [c, a] [a, b] [b, a] [a, c] -> [c, a] [a, a] [a, a] [a, c] , 0.00/0.41 [c, c] [c, a] [a, c] [c, c] ->= [c, c] [c, c] [c, a] [a, c] , 0.00/0.41 [c, b] [b, c] [c, c] [c, c] ->= [c, b] [b, a] [a, b] [b, c] , 0.00/0.41 [c, a] [a, c] [c, b] [b, c] ->= [c, c] [c, a] [a, b] [b, c] } 0.00/0.41 0.00/0.41 0.00/0.41 0.00/0.41 The system was filtered by the following matrix interpretation 0.00/0.41 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.41 0.00/0.41 [a, a] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 1 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [a, b] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 1 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [b, a] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 1 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [b, c] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 2 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [c, a] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [a, c] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 2 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [c, c] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 1 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [c, b] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [b, b] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 0.00/0.41 Remains to prove termination of the 48-rule system 0.00/0.41 { [a, a] [a, b] [b, a] [a, a] -> [a, b] [b, c] [c, a] [a, a] , 0.00/0.41 [a, c] [c, c] [c, c] [c, a] -> [a, a] [a, a] [a, a] [a, a] , 0.00/0.41 [a, a] [a, b] [b, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] , 0.00/0.41 [a, c] [c, a] [a, c] [c, a] ->= [a, c] [c, c] [c, a] [a, a] , 0.00/0.41 [a, b] [b, c] [c, c] [c, a] ->= [a, b] [b, a] [a, b] [b, a] , 0.00/0.41 [a, a] [a, c] [c, b] [b, a] ->= [a, c] [c, a] [a, b] [b, a] , 0.00/0.41 [a, a] [a, b] [b, a] [a, b] -> [a, b] [b, c] [c, a] [a, b] , 0.00/0.41 [a, c] [c, c] [c, c] [c, b] -> [a, a] [a, a] [a, a] [a, b] , 0.00/0.41 [a, a] [a, b] [b, a] [a, b] -> [a, a] [a, a] [a, a] [a, b] , 0.00/0.41 [a, c] [c, a] [a, c] [c, b] ->= [a, c] [c, c] [c, a] [a, b] , 0.00/0.41 [a, a] [a, c] [c, b] [b, b] ->= [a, c] [c, a] [a, b] [b, b] , 0.00/0.41 [a, a] [a, b] [b, a] [a, c] -> [a, b] [b, c] [c, a] [a, c] , 0.00/0.41 [a, c] [c, c] [c, c] [c, c] -> [a, a] [a, a] [a, a] [a, c] , 0.00/0.41 [a, a] [a, b] [b, a] [a, c] -> [a, a] [a, a] [a, a] [a, c] , 0.00/0.41 [a, c] [c, a] [a, c] [c, c] ->= [a, c] [c, c] [c, a] [a, c] , 0.00/0.41 [a, b] [b, c] [c, c] [c, c] ->= [a, b] [b, a] [a, b] [b, c] , 0.00/0.41 [a, a] [a, c] [c, b] [b, c] ->= [a, c] [c, a] [a, b] [b, c] , 0.00/0.41 [b, c] [c, c] [c, c] [c, a] -> [b, a] [a, a] [a, a] [a, a] , 0.00/0.41 [b, a] [a, b] [b, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] , 0.00/0.41 [b, c] [c, a] [a, c] [c, a] ->= [b, c] [c, c] [c, a] [a, a] , 0.00/0.41 [b, b] [b, c] [c, c] [c, a] ->= [b, b] [b, a] [a, b] [b, a] , 0.00/0.41 [b, a] [a, c] [c, b] [b, a] ->= [b, c] [c, a] [a, b] [b, a] , 0.00/0.41 [b, c] [c, c] [c, c] [c, b] -> [b, a] [a, a] [a, a] [a, b] , 0.00/0.41 [b, a] [a, b] [b, a] [a, b] -> [b, a] [a, a] [a, a] [a, b] , 0.00/0.41 [b, c] [c, a] [a, c] [c, b] ->= [b, c] [c, c] [c, a] [a, b] , 0.00/0.41 [b, a] [a, c] [c, b] [b, b] ->= [b, c] [c, a] [a, b] [b, b] , 0.00/0.41 [b, c] [c, c] [c, c] [c, c] -> [b, a] [a, a] [a, a] [a, c] , 0.00/0.41 [b, a] [a, b] [b, a] [a, c] -> [b, a] [a, a] [a, a] [a, c] , 0.00/0.41 [b, c] [c, a] [a, c] [c, c] ->= [b, c] [c, c] [c, a] [a, c] , 0.00/0.41 [b, b] [b, c] [c, c] [c, c] ->= [b, b] [b, a] [a, b] [b, c] , 0.00/0.41 [b, a] [a, c] [c, b] [b, c] ->= [b, c] [c, a] [a, b] [b, c] , 0.00/0.41 [c, a] [a, b] [b, a] [a, a] -> [c, b] [b, c] [c, a] [a, a] , 0.00/0.41 [c, c] [c, c] [c, c] [c, a] -> [c, a] [a, a] [a, a] [a, a] , 0.00/0.41 [c, a] [a, b] [b, a] [a, a] -> [c, a] [a, a] [a, a] [a, a] , 0.00/0.41 [c, c] [c, a] [a, c] [c, a] ->= [c, c] [c, c] [c, a] [a, a] , 0.00/0.41 [c, b] [b, c] [c, c] [c, a] ->= [c, b] [b, a] [a, b] [b, a] , 0.00/0.41 [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, a] [a, b] [b, a] , 0.00/0.41 [c, a] [a, b] [b, a] [a, b] -> [c, b] [b, c] [c, a] [a, b] , 0.00/0.41 [c, c] [c, c] [c, c] [c, b] -> [c, a] [a, a] [a, a] [a, b] , 0.00/0.41 [c, a] [a, b] [b, a] [a, b] -> [c, a] [a, a] [a, a] [a, b] , 0.00/0.41 [c, c] [c, a] [a, c] [c, b] ->= [c, c] [c, c] [c, a] [a, b] , 0.00/0.41 [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, a] [a, b] [b, b] , 0.00/0.41 [c, a] [a, b] [b, a] [a, c] -> [c, b] [b, c] [c, a] [a, c] , 0.00/0.41 [c, c] [c, c] [c, c] [c, c] -> [c, a] [a, a] [a, a] [a, c] , 0.00/0.41 [c, a] [a, b] [b, a] [a, c] -> [c, a] [a, a] [a, a] [a, c] , 0.00/0.41 [c, c] [c, a] [a, c] [c, c] ->= [c, c] [c, c] [c, a] [a, c] , 0.00/0.41 [c, b] [b, c] [c, c] [c, c] ->= [c, b] [b, a] [a, b] [b, c] , 0.00/0.41 [c, a] [a, c] [c, b] [b, c] ->= [c, c] [c, a] [a, b] [b, c] } 0.00/0.41 0.00/0.41 0.00/0.41 The system was filtered by the following matrix interpretation 0.00/0.41 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.41 0.00/0.41 [a, a] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [a, b] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [b, a] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [b, c] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [c, a] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [a, c] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 1 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [c, c] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 1 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [c, b] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.41 \ / 0.00/0.41 [b, b] is interpreted by 0.00/0.41 / \ 0.00/0.41 | 1 0 | 0.00/0.41 | 0 1 | 0.00/0.42 \ / 0.00/0.42 0.00/0.42 Remains to prove termination of the 30-rule system 0.00/0.42 { [a, a] [a, b] [b, a] [a, a] -> [a, b] [b, c] [c, a] [a, a] , 0.00/0.42 [a, a] [a, b] [b, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] , 0.00/0.42 [a, c] [c, a] [a, c] [c, a] ->= [a, c] [c, c] [c, a] [a, a] , 0.00/0.42 [a, a] [a, c] [c, b] [b, a] ->= [a, c] [c, a] [a, b] [b, a] , 0.00/0.42 [a, a] [a, b] [b, a] [a, b] -> [a, b] [b, c] [c, a] [a, b] , 0.00/0.42 [a, a] [a, b] [b, a] [a, b] -> [a, a] [a, a] [a, a] [a, b] , 0.00/0.42 [a, c] [c, a] [a, c] [c, b] ->= [a, c] [c, c] [c, a] [a, b] , 0.00/0.42 [a, a] [a, c] [c, b] [b, b] ->= [a, c] [c, a] [a, b] [b, b] , 0.00/0.42 [a, a] [a, b] [b, a] [a, c] -> [a, b] [b, c] [c, a] [a, c] , 0.00/0.42 [a, a] [a, b] [b, a] [a, c] -> [a, a] [a, a] [a, a] [a, c] , 0.00/0.42 [a, c] [c, a] [a, c] [c, c] ->= [a, c] [c, c] [c, a] [a, c] , 0.00/0.42 [a, a] [a, c] [c, b] [b, c] ->= [a, c] [c, a] [a, b] [b, c] , 0.00/0.42 [b, a] [a, b] [b, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] , 0.00/0.42 [b, c] [c, a] [a, c] [c, a] ->= [b, c] [c, c] [c, a] [a, a] , 0.00/0.42 [b, a] [a, b] [b, a] [a, b] -> [b, a] [a, a] [a, a] [a, b] , 0.00/0.42 [b, c] [c, a] [a, c] [c, b] ->= [b, c] [c, c] [c, a] [a, b] , 0.00/0.42 [b, a] [a, b] [b, a] [a, c] -> [b, a] [a, a] [a, a] [a, c] , 0.00/0.42 [b, c] [c, a] [a, c] [c, c] ->= [b, c] [c, c] [c, a] [a, c] , 0.00/0.42 [c, a] [a, b] [b, a] [a, a] -> [c, b] [b, c] [c, a] [a, a] , 0.00/0.42 [c, a] [a, b] [b, a] [a, a] -> [c, a] [a, a] [a, a] [a, a] , 0.00/0.42 [c, c] [c, a] [a, c] [c, a] ->= [c, c] [c, c] [c, a] [a, a] , 0.00/0.42 [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, a] [a, b] [b, a] , 0.00/0.42 [c, a] [a, b] [b, a] [a, b] -> [c, b] [b, c] [c, a] [a, b] , 0.00/0.42 [c, a] [a, b] [b, a] [a, b] -> [c, a] [a, a] [a, a] [a, b] , 0.00/0.42 [c, c] [c, a] [a, c] [c, b] ->= [c, c] [c, c] [c, a] [a, b] , 0.00/0.42 [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, a] [a, b] [b, b] , 0.00/0.42 [c, a] [a, b] [b, a] [a, c] -> [c, b] [b, c] [c, a] [a, c] , 0.00/0.42 [c, a] [a, b] [b, a] [a, c] -> [c, a] [a, a] [a, a] [a, c] , 0.00/0.42 [c, c] [c, a] [a, c] [c, c] ->= [c, c] [c, c] [c, a] [a, c] , 0.00/0.42 [c, a] [a, c] [c, b] [b, c] ->= [c, c] [c, a] [a, b] [b, c] } 0.00/0.42 0.00/0.42 0.00/0.42 The system was filtered by the following matrix interpretation 0.00/0.42 of type E_J with J = {1,...,2} and dimension 2: 0.00/0.42 0.00/0.42 [a, a] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 [a, b] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 [b, a] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 1 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 [b, c] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 [c, a] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 [a, c] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 [c, c] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 [c, b] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 [b, b] is interpreted by 0.00/0.42 / \ 0.00/0.42 | 1 0 | 0.00/0.42 | 0 1 | 0.00/0.42 \ / 0.00/0.42 0.00/0.42 Remains to prove termination of the 15-rule system 0.00/0.42 { [a, c] [c, a] [a, c] [c, a] ->= [a, c] [c, c] [c, a] [a, a] , 0.00/0.42 [a, a] [a, c] [c, b] [b, a] ->= [a, c] [c, a] [a, b] [b, a] , 0.00/0.42 [a, c] [c, a] [a, c] [c, b] ->= [a, c] [c, c] [c, a] [a, b] , 0.00/0.42 [a, a] [a, c] [c, b] [b, b] ->= [a, c] [c, a] [a, b] [b, b] , 0.00/0.42 [a, c] [c, a] [a, c] [c, c] ->= [a, c] [c, c] [c, a] [a, c] , 0.00/0.42 [a, a] [a, c] [c, b] [b, c] ->= [a, c] [c, a] [a, b] [b, c] , 0.00/0.42 [b, c] [c, a] [a, c] [c, a] ->= [b, c] [c, c] [c, a] [a, a] , 0.00/0.42 [b, c] [c, a] [a, c] [c, b] ->= [b, c] [c, c] [c, a] [a, b] , 0.00/0.42 [b, c] [c, a] [a, c] [c, c] ->= [b, c] [c, c] [c, a] [a, c] , 0.00/0.42 [c, c] [c, a] [a, c] [c, a] ->= [c, c] [c, c] [c, a] [a, a] , 0.00/0.42 [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, a] [a, b] [b, a] , 0.00/0.42 [c, c] [c, a] [a, c] [c, b] ->= [c, c] [c, c] [c, a] [a, b] , 0.00/0.42 [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, a] [a, b] [b, b] , 0.00/0.42 [c, c] [c, a] [a, c] [c, c] ->= [c, c] [c, c] [c, a] [a, c] , 0.00/0.42 [c, a] [a, c] [c, b] [b, c] ->= [c, c] [c, a] [a, b] [b, c] } 0.00/0.42 0.00/0.42 0.00/0.42 The system is trivially terminating. 0.00/0.44 EOF