I also can't make a pen and a sheet of paper contain a proof showing whether P is equal to NP. Does that mean I don't own them either?

Now you could of course say that the difference is somebody having intentionally designed an object in a way that makes it capable of withholding some functionality from me but not others, and I'd agree.

But all in all, I just don't think "property rights" is the right lens to think about computing devices.