Even if humans do not always reason in a logically valid manner, they nevertheless follow rules; and nowhere is there to be found any irregularity. If it should seem as though there is irregularity, this is really a function of human ignorance. For example, a ten year old may speak in grammatically correct sentences and yet not know the rules of grammar. We conclude, therefore, that the ten year old, like all animate and inanimate things in the universe, follows rules. Similarly, should one try to run as fast as the speed of light one will find one is unable, and should one try to jump as high as the empire state building one finds one is unable. As such, it follows even when humans do not reason validly, they nevertheless follow rules. If one is highly equipped with the tools of logic and pattern recognition, one may be able to sort out situations in a logical manner even when humans themselves are not logical. Thus, given what has been stated hitherto it is not clear how you have deduced that logic will backfire from the fact that some humans are not logical.