What is the logical basis for ruling out the possibility that there may be a solution to the problem of evil that humans either don't or are not able to understand?
Let's unpack this post and answer it for you.
Of course there is that possibility. In Cofty's thread, which you should read, it's explicitly called that that this is a possibility, but that makes god a moral monster, an asshole.
There are various aspects of reality that the human mind is not able to grasp. We are not equipped to conceptualise more than three dimensions for example, although we theorise that many more exist.
Speak for yourself, first of all. Secondly, you are pretending that "grasp", conceptialize and theorize are the same things. We can grasp four dimentions, theorize it AND conceptualize.
So why should the inability of the human mind to conceive a solution to the problem of evil be proof that no solution exists?
Non sequitur. The solutions are "god is an asshole", "god is indifferent", "god is not omni" or "there is no god".
I am interested to know what an atheist response to this is, beyond mere sneering.
The response is "think about it using logic, reason, critical thinking, philosophy and reality instead of being a lazy twit and pretending that those things are 'sneering'".