MAYBE MAYBE TRS: { f(true(), x, y) -> f(gt(x, y), x, round(s(y))), gt(s(u), s(v)) -> gt(u, v), gt(s(u), 0()) -> true(), gt(0(), v) -> false(), round(s(s(x))) -> s(s(round(x))), round(s(0())) -> s(s(0())), round(0()) -> 0() } DUP: We consider a duplicating system. Trs: { f(true(), x, y) -> f(gt(x, y), x, round(s(y))), gt(s(u), s(v)) -> gt(u, v), gt(s(u), 0()) -> true(), gt(0(), v) -> false(), round(s(s(x))) -> s(s(round(x))), round(s(0())) -> s(s(0())), round(0()) -> 0() } Fail