WordNet records no synonym and no antonym for call one's bluff. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
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.
ask to prove what someone is claiming
“John called Mary's bluff when she claimed she could prove the theorem in under an hour”
Synonyms, antonyms and the broader and narrower relations for call one's bluff come from Princeton University’s WordNet. Full sources and licences.