MAYBE MAYBE TRS: { cond2(true(), x, y, z) -> cond2(gr(y, z), x, p(y), z), cond2(false(), x, y, z) -> cond1(gr(x, z), p(x), y, z), gr(0(), x) -> false(), gr(s(x), 0()) -> true(), gr(s(x), s(y)) -> gr(x, y), cond1(true(), x, y, z) -> cond2(gr(y, z), x, y, z), p(0()) -> 0(), p(s(x)) -> x } DUP: We consider a duplicating system. Trs: { cond2(true(), x, y, z) -> cond2(gr(y, z), x, p(y), z), cond2(false(), x, y, z) -> cond1(gr(x, z), p(x), y, z), gr(0(), x) -> false(), gr(s(x), 0()) -> true(), gr(s(x), s(y)) -> gr(x, y), cond1(true(), x, y, z) -> cond2(gr(y, z), x, y, z), p(0()) -> 0(), p(s(x)) -> x } Fail