Counterintuitive

It was a counterintuitive event.

It is a counterintuitive fact that light objects fall to earth just as quickly as heavy ones.

It's counterintuitive, but true.

Science is counterintuitive.

Reality is often counterintuitive.

Now I have to admit, when I read this, this sounded totally wrong and counterintuitive.

With the students who worked on drafts in class, a number of aspects of lexicography proved challenging and counterintuitive.