run out has 13 distinct synonyms spread across 6 of its 8 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
become used up; be exhausted
“Our supplies finally ran out”
leave suddenly and as if in a hurry
“The listeners bolted when he discussed his strange ideas”
exhaust the supply of
“We ran out of time just as the discussion was getting interesting”
Synonyms, antonyms and the broader and narrower relations for run out come from Princeton University’s WordNet. Full sources and licences.