Ten deportees said they experienced or witnessed what they called abusive or violent treatment by ICE. They spent months in detention, they said, before being sent to nations where they had no ties.

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Prosecutors argued the statements by the defendant, Khalid Shaikh Mohammed, were crucial evidence for the eventual death-penalty trial.

Prosecutors had asked for an earlier start. The judge has not yet ruled on several issues related to the defendants’ torture in C.I.A. prisons.

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A possible expert witness was hurried off a video feed after an emergency alert in Dubai, near the Strait of Hormuz, a flashpoint in the U.S.-Iran war.

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