MAYBE MAYBE TRS: { mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(from(X)) -> active(from(mark(X))), mark(s(X)) -> active(s(mark(X))), mark(0()) -> active(0()), mark(length(X)) -> active(length(X)), mark(nil()) -> active(nil()), mark(length1(X)) -> active(length1(X)), cons(X1, mark(X2)) -> cons(X1, X2), cons(X1, active(X2)) -> cons(X1, X2), cons(mark(X1), X2) -> cons(X1, X2), cons(active(X1), X2) -> cons(X1, X2), from(mark(X)) -> from(X), from(active(X)) -> from(X), s(mark(X)) -> s(X), s(active(X)) -> s(X), active(from(X)) -> mark(cons(X, from(s(X)))), active(length(cons(X, Y))) -> mark(s(length1(Y))), active(length(nil())) -> mark(0()), active(length1(X)) -> mark(length(X)), length(mark(X)) -> length(X), length(active(X)) -> length(X), length1(mark(X)) -> length1(X), length1(active(X)) -> length1(X) } DUP: We consider a duplicating system. Trs: { mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(from(X)) -> active(from(mark(X))), mark(s(X)) -> active(s(mark(X))), mark(0()) -> active(0()), mark(length(X)) -> active(length(X)), mark(nil()) -> active(nil()), mark(length1(X)) -> active(length1(X)), cons(X1, mark(X2)) -> cons(X1, X2), cons(X1, active(X2)) -> cons(X1, X2), cons(mark(X1), X2) -> cons(X1, X2), cons(active(X1), X2) -> cons(X1, X2), from(mark(X)) -> from(X), from(active(X)) -> from(X), s(mark(X)) -> s(X), s(active(X)) -> s(X), active(from(X)) -> mark(cons(X, from(s(X)))), active(length(cons(X, Y))) -> mark(s(length1(Y))), active(length(nil())) -> mark(0()), active(length1(X)) -> mark(length(X)), length(mark(X)) -> length(X), length(active(X)) -> length(X), length1(mark(X)) -> length1(X), length1(active(X)) -> length1(X) } Fail