Is that supposed to be an argument? Since you disagree with my statement
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By your logic you should be able to break any instance of it. That's obviously not true.
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you must be able to break
any problem instance in that domain. How about I give you a RSA4096 public key and you factor it for me?
Quite obviously, you won't be able to do so, and I don't think anyone can arguably disagree with that (without trolling).