The word "super-incumbent" refers to something that is lying on top of or pressing down on something else. Its antonyms, therefore, would be words that describe the opposite situation. Some possible antonyms for super-incumbent are "submerged", "underlying", "underground", "recessed", or "unburied". These words describe a state where something is below the surface or covered up, rather than lying on top of something else. Another set of antonyms could be "light", "loose", "floating", "unsupported", or "unattached". These words describe things that are not pressing down on anything else, or are easily moved.