MAYBE MAYBE TRS: { mark(nil()) -> nil(), mark(cons(X1, X2)) -> cons(mark(X1), X2), mark(app(X1, X2)) -> a__app(mark(X1), mark(X2)), mark(from(X)) -> a__from(mark(X)), mark(s(X)) -> s(mark(X)), mark(zWadr(X1, X2)) -> a__zWadr(mark(X1), mark(X2)), mark(prefix(X)) -> a__prefix(mark(X)), a__app(X1, X2) -> app(X1, X2), a__app(nil(), YS) -> mark(YS), a__app(cons(X, XS), YS) -> cons(mark(X), app(XS, YS)), a__from(X) -> cons(mark(X), from(s(X))), a__from(X) -> from(X), a__zWadr(XS, nil()) -> nil(), a__zWadr(X1, X2) -> zWadr(X1, X2), a__zWadr(nil(), YS) -> nil(), a__zWadr(cons(X, XS), cons(Y, YS)) -> cons(a__app(mark(Y), cons(mark(X), nil())), zWadr(XS, YS)), a__prefix(X) -> prefix(X), a__prefix(L) -> cons(nil(), zWadr(L, prefix(L))) } DUP: We consider a duplicating system. Trs: { mark(nil()) -> nil(), mark(cons(X1, X2)) -> cons(mark(X1), X2), mark(app(X1, X2)) -> a__app(mark(X1), mark(X2)), mark(from(X)) -> a__from(mark(X)), mark(s(X)) -> s(mark(X)), mark(zWadr(X1, X2)) -> a__zWadr(mark(X1), mark(X2)), mark(prefix(X)) -> a__prefix(mark(X)), a__app(X1, X2) -> app(X1, X2), a__app(nil(), YS) -> mark(YS), a__app(cons(X, XS), YS) -> cons(mark(X), app(XS, YS)), a__from(X) -> cons(mark(X), from(s(X))), a__from(X) -> from(X), a__zWadr(XS, nil()) -> nil(), a__zWadr(X1, X2) -> zWadr(X1, X2), a__zWadr(nil(), YS) -> nil(), a__zWadr(cons(X, XS), cons(Y, YS)) -> cons(a__app(mark(Y), cons(mark(X), nil())), zWadr(XS, YS)), a__prefix(X) -> prefix(X), a__prefix(L) -> cons(nil(), zWadr(L, prefix(L))) } Fail