I have read the three posts quoted. I can't find a response to my question. If there is one a simple statement of it would suffice rather than sending to read lots of old posts looking for an answer that isn't there.
The question is:
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?
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. This is surely only the tip of the ice berg in terms of what exists in the universe that we are not able to grasp.
So why should the inability of the human mind to conceive a solution to the problem of evil be proof that no solution exists?
I am interested to know what an atheist response to this is, beyond mere sneering.