MAYBE MAYBE TRS: { mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(0()) -> active(0()), mark(zeros()) -> active(zeros()), mark(U12(X1, X2)) -> active(U12(mark(X1), X2)), mark(tt()) -> active(tt()), mark(U11(X1, X2)) -> active(U11(mark(X1), X2)), mark(s(X)) -> active(s(mark(X))), mark(length(X)) -> active(length(mark(X))), mark(nil()) -> active(nil()), 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), active(zeros()) -> mark(cons(0(), zeros())), active(U12(tt(), L)) -> mark(s(length(L))), active(U11(tt(), L)) -> mark(U12(tt(), L)), active(length(cons(N, L))) -> mark(U11(tt(), L)), active(length(nil())) -> mark(0()), U12(X1, mark(X2)) -> U12(X1, X2), U12(X1, active(X2)) -> U12(X1, X2), U12(mark(X1), X2) -> U12(X1, X2), U12(active(X1), X2) -> U12(X1, X2), U11(X1, mark(X2)) -> U11(X1, X2), U11(X1, active(X2)) -> U11(X1, X2), U11(mark(X1), X2) -> U11(X1, X2), U11(active(X1), X2) -> U11(X1, X2), s(mark(X)) -> s(X), s(active(X)) -> s(X), length(mark(X)) -> length(X), length(active(X)) -> length(X) } DUP: We consider a non-duplicating system. Trs: { mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(0()) -> active(0()), mark(zeros()) -> active(zeros()), mark(U12(X1, X2)) -> active(U12(mark(X1), X2)), mark(tt()) -> active(tt()), mark(U11(X1, X2)) -> active(U11(mark(X1), X2)), mark(s(X)) -> active(s(mark(X))), mark(length(X)) -> active(length(mark(X))), mark(nil()) -> active(nil()), 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), active(zeros()) -> mark(cons(0(), zeros())), active(U12(tt(), L)) -> mark(s(length(L))), active(U11(tt(), L)) -> mark(U12(tt(), L)), active(length(cons(N, L))) -> mark(U11(tt(), L)), active(length(nil())) -> mark(0()), U12(X1, mark(X2)) -> U12(X1, X2), U12(X1, active(X2)) -> U12(X1, X2), U12(mark(X1), X2) -> U12(X1, X2), U12(active(X1), X2) -> U12(X1, X2), U11(X1, mark(X2)) -> U11(X1, X2), U11(X1, active(X2)) -> U11(X1, X2), U11(mark(X1), X2) -> U11(X1, X2), U11(active(X1), X2) -> U11(X1, X2), s(mark(X)) -> s(X), s(active(X)) -> s(X), length(mark(X)) -> length(X), length(active(X)) -> length(X) } Fail