MAYBE MAYBE TRS: { div(x, y) -> quot(x, y, y), div(0(), y) -> 0(), quot(x, 0(), s(z)) -> s(div(x, s(z))), quot(0(), s(y), z) -> 0(), quot(s(x), s(y), z) -> quot(x, y, z) } DUP: We consider a duplicating system. Trs: { div(x, y) -> quot(x, y, y), div(0(), y) -> 0(), quot(x, 0(), s(z)) -> s(div(x, s(z))), quot(0(), s(y), z) -> 0(), quot(s(x), s(y), z) -> quot(x, y, z) } Fail