Comment by strogonoff

Pattern-matching can produce useful answers within the confines of a well-defined system. However, the hypothetical all-encompassing system for such a solver to produce hypothetical objective ground truth about an arbitrary question is not something we have—such a system would be one which we ourselves are part of and hence unavailable to us (cf. the incompleteness conundrum, map vs. territory, and so forth).

Your unsolved problems would likely involve the extremes of maps that you currently think in terms of. Maps become less useful as you get closer to undefined extreme conditions within them (a famous one is us humans ourselves, and why so many unsolved challenges to various degrees of obviousness concern our psyche and physiology—world peace, cancer, and so on), and I assume useful pattern matching is similarly less effective. Data to pattern-match against is collected and classified according to a preexisting model; if the model is wrong (which it is), the data may lead to spurious matches with wrong or nonsensical answers. Furthermore, if the answer has to be in terms of a new system, another fallible map hitherto unfamiliar to human mind, pattern-matching based on preexisting products of that very mind is unlikely to produce one.