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(sel(X1, X2)) -> active(sel(mark(X1), mark(X2))), mark(0()) -> active(0()), 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(sel(s(X), cons(Y, Z))) -> mark(sel(X, Z)), active(sel(0(), cons(X, Y))) -> mark(X), sel(X1, mark(X2)) -> sel(X1, X2), sel(X1, active(X2)) -> sel(X1, X2), sel(mark(X1), X2) -> sel(X1, X2), sel(active(X1), X2) -> sel(X1, X2) } 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(sel(X1, X2)) -> active(sel(mark(X1), mark(X2))), mark(0()) -> active(0()), 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(sel(s(X), cons(Y, Z))) -> mark(sel(X, Z)), active(sel(0(), cons(X, Y))) -> mark(X), sel(X1, mark(X2)) -> sel(X1, X2), sel(X1, active(X2)) -> sel(X1, X2), sel(mark(X1), X2) -> sel(X1, X2), sel(active(X1), X2) -> sel(X1, X2) } Fail