True or false: if the stirling engine increases the entropy of the universe when the cycle is run clockwise, it will decrease the entropy of the universe when it is run counterclockwise as a heat pump.

False.

Explanation:

The given statement is false.

The entropy of the universe can never be negative. As we all are aware that entropy ids the measure of "randomness" of a system. Change in entropy would mean increase in randomness.

Zero entropy mean means the system is in utmost order. And positive entropy  a system with some amount of disorder. Whereas negative entropy makes no sense as there can be no system with more than perfect state.