problem solving vs cerebration

problem solving and cerebration both are nouns.

Word	Noun	Adjective	Verb	Adverb
problem solving	Yes	No	No	No
cerebration	Yes	No	No	No

As nouns, cerebration is a hypernym of problem solving; that is, cerebration is a word with a broader meaning than problem solving:

Other hypernyms of problem solving include intellection, mentation, thinking, thought, thought process.

problem solving (noun)	cerebration (noun)
the thought processes involved in solving a problem	the process of using your mind to consider something carefully
the area of cognitive psychology that studies the processes involved in solving problems