If one is omnipresent, chances are that (from pure coincidence) one must be omniscient and invisible this will result in (unless the object is microscopic, in which case it would dissolve the Earth of all mammals instantly) a possible rip in the time-space-continuum, a validation in string theory and a Universe in which contains nothing but every thing. An infinite number of infectious impossibly infinite omnivores roam all mass and devour everything living. In other words, your statement is incorrect, omnipresent omnivores eat everything, and when all is eaten and all is desolate, they die out. Genocide of the living.