MAYBE MAYBE TRS: { dbl(0()) -> 0(), dbl(s()) -> s(), dbls(nil()) -> nil(), dbls(cons()) -> cons(), sel(0(), cons()) -> X, sel(s(), cons()) -> sel(X, Z), indx(nil()) -> nil(), indx(cons()) -> cons(), from() -> cons(), dbl1(0()) -> 01(), dbl1(s()) -> s1(s1(dbl1(X))), sel1(0(), cons()) -> X, sel1(s(), cons()) -> sel1(X, Z), quote(0()) -> 01(), quote(dbl(X)) -> dbl1(X), quote(s()) -> s1(quote(X)), quote(sel(X, Y)) -> sel1(X, Y) } DUP: We consider a duplicating system. Trs: { dbl(0()) -> 0(), dbl(s()) -> s(), dbls(nil()) -> nil(), dbls(cons()) -> cons(), sel(0(), cons()) -> X, sel(s(), cons()) -> sel(X, Z), indx(nil()) -> nil(), indx(cons()) -> cons(), from() -> cons(), dbl1(0()) -> 01(), dbl1(s()) -> s1(s1(dbl1(X))), sel1(0(), cons()) -> X, sel1(s(), cons()) -> sel1(X, Z), quote(0()) -> 01(), quote(dbl(X)) -> dbl1(X), quote(s()) -> s1(quote(X)), quote(sel(X, Y)) -> sel1(X, Y) } Fail