The antonyms for sate on top of can be quite varied depending on the context. Some possible antonyms could be "underneath," "beneath," "below," "lower than," "beneath the surface," or "buried" if referring to physical positions. In a more metaphorical sense, antonyms may include "shrouded in mystery," "hidden," "obscured," or "unexplained" since sate on top of often implies a state of being fully exposed or revealed. Regardless of the specific antonym used, the phrase sate on top of typically describes a position of dominance or control, while the antonyms suggest a state of submission, inferiority, or incompleteness.