Knowledge isn't about memorizing anything. Proper schooling teaches how to take information and apply it, that is what is known as knowledge, the ability to apply information to problem solving. Intelligence exists whether or not someone has attended formal education or not.

Natives of many lands for instance are extremely intelligent but may have never had any formal schooling except in what they learn from elders in day to day survival. Real World Problem solving approaches by the people who've had no formal education is often far more efficient and straight forward than methods employed by Ph.D's (which is why many Ph.D's are called Piled Higher and Deeper types by Engineers... 8-) )

As a retired Engineering instructor some of my best students had to unlearn a lot of rote memorization they'd been exposed to in so called High Schools but that was my purpose in sticking with the Associate and Bachelor's level students so they could unlearn the bad methods and begin to apply third order learning to solve the types of unpredictable problems presented in real world engineering projects.