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