5.31/1.65 YES 5.70/1.70 5.70/1.70 5.70/1.70 Applying context closure of depth 1 in the following form: System R over Sigma 5.70/1.70 maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, 5.70/1.70 where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n}) 5.70/1.70 5.70/1.70 Remains to prove termination of the 4-rule system 5.70/1.70 { [a, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] , 5.70/1.70 [a, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] , 5.70/1.70 [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] , 5.70/1.70 [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] } 5.70/1.70 5.70/1.70 5.70/1.70 5.70/1.70 The system was filtered by the following matrix interpretation 5.70/1.70 of type E_J with J = {1,...,2} and dimension 12: 5.70/1.70 5.70/1.70 [a, a] is interpreted by 5.70/1.70 / \ 5.70/1.70 | 1 0 1 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 1 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 1 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 1 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 1 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 1 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 1 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 \ / 5.70/1.70 [a, b] is interpreted by 5.70/1.70 / \ 5.70/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 1 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 \ / 5.70/1.70 [b, b] is interpreted by 5.70/1.70 / \ 5.70/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 1 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 \ / 5.70/1.70 [b, a] is interpreted by 5.70/1.70 / \ 5.70/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 1 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 \ / 5.70/1.70 5.70/1.70 Remains to prove termination of the 3-rule system 5.70/1.70 { [a, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] , 5.70/1.70 [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] , 5.70/1.70 [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] } 5.70/1.70 5.70/1.70 5.70/1.70 The system was reversed. 5.70/1.70 5.70/1.70 Remains to prove termination of the 3-rule system 5.70/1.70 { [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [a, a] -> [b, a] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] , 5.70/1.70 [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [b, a] -> [b, a] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] , 5.70/1.70 [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [b, a] -> [b, b] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] } 5.70/1.70 5.70/1.70 5.70/1.70 The dependency pairs transformation was applied. 5.70/1.70 5.70/1.70 Remains to prove termination of the 31-rule system 5.70/1.70 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) , 5.70/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.70/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.70/1.70 ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, b],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 5.70/1.70 5.70/1.70 5.70/1.70 5.70/1.70 5.70/1.70 The system was filtered by the following matrix interpretation 5.70/1.70 of type E_J with J = {1,...,2} and dimension 12: 5.70/1.70 5.70/1.70 ([a, a],true) is interpreted by 5.70/1.70 / \ 5.70/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 \ / 5.70/1.70 ([a, a],false) is interpreted by 5.70/1.70 / \ 5.70/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 1 0 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 1 0 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 1 0 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 1 0 0 0 0 0 | 5.70/1.70 | 0 0 0 0 0 0 0 1 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 1 0 0 0 | 5.85/1.70 | 0 0 1 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([b, a],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 1 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([b, b],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 1 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([a, b],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 1 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 1 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([a, b],true) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 1 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 5.85/1.70 Remains to prove termination of the 21-rule system 5.85/1.70 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) , 5.85/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 5.85/1.70 5.85/1.70 5.85/1.70 The system was filtered by the following matrix interpretation 5.85/1.70 of type E_J with J = {1,...,2} and dimension 2: 5.85/1.70 5.85/1.70 ([a, a],true) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 1 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([a, a],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([b, a],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([b, b],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([a, b],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([a, b],true) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 5.85/1.70 Remains to prove termination of the 17-rule system 5.85/1.70 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) , 5.85/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 5.85/1.70 5.85/1.70 5.85/1.70 The system was filtered by the following matrix interpretation 5.85/1.70 of type E_J with J = {1,...,2} and dimension 2: 5.85/1.70 5.85/1.70 ([a, a],true) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([a, a],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 1 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([b, a],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([b, b],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([a, b],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 ([a, b],true) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 | 5.85/1.70 | 0 1 | 5.85/1.70 \ / 5.85/1.70 5.85/1.70 Remains to prove termination of the 4-rule system 5.85/1.70 { ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) , 5.85/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 5.85/1.70 5.85/1.70 5.85/1.70 The system was filtered by the following matrix interpretation 5.85/1.70 of type E_J with J = {1,...,2} and dimension 12: 5.85/1.70 5.85/1.70 ([a, a],true) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 1 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([a, a],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 1 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 1 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 1 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 1 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 1 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 1 0 0 0 | 5.85/1.70 | 0 0 2 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([b, a],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 1 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([b, b],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 1 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([a, b],false) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 1 0 0 1 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 ([a, b],true) is interpreted by 5.85/1.70 / \ 5.85/1.70 | 1 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 1 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 | 0 0 0 0 0 0 0 0 0 0 0 0 | 5.85/1.70 \ / 5.85/1.70 5.85/1.70 Remains to prove termination of the 2-rule system 5.85/1.70 { ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) , 5.85/1.70 ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) } 5.85/1.70 5.85/1.70 5.85/1.70 The system is trivially terminating. 5.88/1.74 EOF