A player of an offending side may not choose from among logical alternative actions one that could demonstrably have been suggested over another by the unauthorized information.
For many Anglicans, and for a long time, Roman Catholicism was not just a foreign, superstitious creed, it was demonstrably cruel.
It's also demonstrably untrue, however, because there are enough cases where more time doesn't lead to better learning.
Swearing actually is demonstrably beneficial, according to scientists in a different preposterous news story entirely.