Fermat's Room

Four famed mathematicians, all strangers to one another, are invited to the remote home of a mysterious man known only as Fermat. Once there, they are locked in a room and given a series of logic puzzles that must be solved within one minute each. For each late answer, hydraulic presses will push the walls closer together. Why have they been placed in this elaborate death trap? What is their connection to each other? And for genius minds about to be brutally crushed, is staying alive the ultimate enigma?