Help With Berry Identification?

Greetings! I know it may be rude to jump right into asking questions before introducing myself here, and I apologise if that's  the case. (And I try will rectify it soon...)

Anyway, my brother found these vines growing up a bunch of trees. He says they seem to like cedar primarily. I've searched through all my books, and online, for hours and it's come to nothing. All I know is they look like grapes, but the leaves are entirely wrong for a grapevine. I cut one open and it almost seems to be a lot like a pome? It has a core with several hard seeds surrounding, with green or white fruit surrounding. I have photos attached to show what they look like.

Also, if it helps, we live in Kentucky.

Any ideas?  

Hello I Irvin, Welcome to Permies! It would be nice to have an introduction, but OK to dive on in!
I`m not an expert (not even in the US) but wonder whether it could be a form of porcelain berry Ampelopsis brevipedunculata? Some of the pictures on Carolina nature look pretty similar. It is a Japanese climber that has naturalised in parts of the USA.
I`m not very confident in my identification, since most of the online pictures show paler berries.

agreed, the leaf doesn’t look like a grape relative to me. more likely greenbrier or another smilax species. as far as i know, they should be edible.

porcelainberry has more grapey leaves, too.

Looks like the Greenbrier we have around here.

Thanks y'all! I compared it with Smilax pictures and descriptions I found, and that does seem to be what it is!