This is invalid (try plugging in "calculus" for "..."):
Right! If SOME of them use fire, and ALL who do this have intelligence, then SOME of them have intelligence.
It might be that they ALL have intelligence. But we can't conclude this from the premises, since we only know that SOME of them use fire.
"All" in the conclusion is too strong. Maybe only a few cave dwellers use fire -- and only these few have intelligence.
No, we can draw a conclusion.