MAYBE MAYBE TRS: {f(f(x)) -> f(x), f(1()) -> f(g(1())), g(g(x)) -> g(x), g(0()) -> g(f(0()))} DUP: We consider a non-duplicating system. Trs: {f(f(x)) -> f(x), f(1()) -> f(g(1())), g(g(x)) -> g(x), g(0()) -> g(f(0())) } Fail