MAYBE MAYBE TRS: { mark(f(X1, X2)) -> active(f(mark(X1), X2)), mark(a()) -> active(a()), mark(b()) -> active(b()), f(X1, mark(X2)) -> f(X1, X2), f(X1, active(X2)) -> f(X1, X2), f(mark(X1), X2) -> f(X1, X2), f(active(X1), X2) -> f(X1, X2), active(f(X, X)) -> mark(f(a(), b())), active(b()) -> mark(a()) } DUP: We consider a non-duplicating system. Trs: { mark(f(X1, X2)) -> active(f(mark(X1), X2)), mark(a()) -> active(a()), mark(b()) -> active(b()), f(X1, mark(X2)) -> f(X1, X2), f(X1, active(X2)) -> f(X1, X2), f(mark(X1), X2) -> f(X1, X2), f(active(X1), X2) -> f(X1, X2), active(f(X, X)) -> mark(f(a(), b())), active(b()) -> mark(a()) } Fail