Earlier quoted context omitted.
Forgive me if this is a stupid question but they can’t hold a gun to your head to force you to take the oil, right? Can’t you just refuse the delivery if you have nowhere to store it? Is there language in the contract for this kind of situation?
That's not a stupid question it's an excellent one. If you don't take delivery you're in breach of contract. The penalties for that are going to depend on how the judicial process works out. This has never happened before, so I don't know how it will play out other than that it's going to be wildly messy. Probably far messier than anyone, myself included, is imagining.
That sounds incorrect. The whole point of having standardized, commodified units trading on organized exchanges is that you don’t have to reinvent the dispute-resolution wheel — or turn it over to super slow courts — for every foreseeable thing that can go wrong. So there should be a specific procedure and penalty you can look up.
I asked the same question and got this answer that seems more correct and along the lines of my intuition, that the exchange holds it (or rather, directs others to home it) and bills your account for the cost: