MAYBE MAYBE TRS: { f(X1, X2) -> n__f(X1, X2), f(g(X), Y) -> f(X, n__f(n__g(X), activate(Y))), activate(X) -> X, activate(n__f(X1, X2)) -> f(activate(X1), X2), activate(n__g(X)) -> g(activate(X)), g(X) -> n__g(X) } DUP: We consider a duplicating system. Trs: { f(X1, X2) -> n__f(X1, X2), f(g(X), Y) -> f(X, n__f(n__g(X), activate(Y))), activate(X) -> X, activate(n__f(X1, X2)) -> f(activate(X1), X2), activate(n__g(X)) -> g(activate(X)), g(X) -> n__g(X) } Fail