> These cases are obvious to us because the brain has access to much fancier causal reasoning than what we can currently express in human language. For now, human language is stuck with "If a then not b" stuff.

I don't follow this. Didn't you just express these cases in human language? I understand that in reality we can "grasp" the meaning of a problem of not being able to open the door without expressing or thinking about it verbally, which would be redundant as there would be a lot to say (the key may be broken, the door may be held by someone on the other side, even if the key works we might be trying to push instead of pull, etc, etc.) and any person who has opened doors with keys would likely understand all of this. The problem is not that those things can't be expressed in human language, but the lack of ability to build good conceptual models of the world that encompasses all such knowledge and allows reasoning on it quickly.