"A character with high Intelligence might be highly inquisitive and studious, while a character with low Intelligence might speak simply or easily forget details"

"A character with high Wisdom has good judgment, empathy, and a general awareness of what’s going on. A character with low Wisdom might be absent-minded, foolhardy, or oblivious."

"Wisdom reflects how attuned you are to the world around you and represents perceptiveness and intuition." 

"Intelligence measures mental acuity, accuracy of recall, and the ability to reason"

intelligence is your ability to process information and use it
Wisdom is your ability to retain and Store information
not the other way around

you can know alot and be Stupid. this doesn't make you intelligent. you can be smart, but know nothing. this doesn't make you Wise

Wisdom: "the quality of having experience, knowledge, and good judgment; the quality of being wise."

Intelligence: "the ability to acquire and apply knowledge and skills" 

Edit: may god this text engine in awful, you can't format worth crap. because it doesn't stay the way you had it. Enter sometimes jumps 2 paragraphs sometimes doesn't

Generally, you aren't wrong. But D&D defines them a little differently that's all.

I'm not sure I follow, from what you've written, the meaning of int and wis seem correct.

High int, low wisdom - someone who's really good with math and problem solving, but can't figure out that they're annoying a crowd of people.

 Low int, high wisdom - someone who is really slow to understand new information, but can sense the high priestess is hiding something.

I could come up with many more examples like this. Basically int is processing ability, wisdom is insightfulness into their environment. High intelligence people are better at solving problems, high wisdom people are better at knowing the right thing to do in a situation.

Wisdom is your ability to retain and Store information

I don't think many people would agree with your definition of wisdom, including the dictionary quote in your own post. What you're describing is basically just memory/recall, not wisdom.

I like to use Jurassic Park as an example. It certainly took intelligence to extract DNA and clone dinosaurs, but it turned out to not be such a wise decision. The genetic engineers had a wealth of knowledge - and were able to effectively apply that knowledge - but they didn't have the proper judgement or experience to grasp the long term consequences of their actions.