A former Bush speechwriter attempts to put our minds at ease about torture.  He tells us that tortured prisoners do not lie, because the lying deceitful terrorists (whom we should never believe) have told us under torture that they don't:

Critics claim that enhanced techniques do not produce good intelligence because people will say anything to get the techniques to stop. But the memos note that, "as Abu Zubaydah himself explained with respect to enhanced techniques, 'brothers who are captured and interrogated are permitted by Allah to provide information when they believe they have reached the limit of their ability to withhold it in the face of psychological and physical hardship." In other words, the terrorists are called by their faith to resist as far as they can — and once they have done so, they are free to tell everything they know. This is because of their belief that "Islam will ultimately dominate the world and that this victory is inevitable." The job of the interrogator is to safely help the terrorist do his duty to Allah, so he then feels liberated to speak freely. 

Besides, it's their religious duty not to lie under torture–and we ought to take that at face value.