When facing a problem, we could say that we are stuck. Consider whether we ever solve a problem as it is originally formulated or perceived.
Maybe we learn a new skill and can now work our way through. But if we can work our way through, that means we are no longer stuck. If we are no longer stuck, there may still be work to do, but there isn’t a problem any more. The initial formulation of the problem hadn’t taken into account our new skill, and now that initial formulation is irrelevant.
Or maybe we find a different problem to solve than the one we faced initially. For example, instead of figuring out how to cross a flooded river, we look for a way to get all of our business done without having to cross the river. If we manage that, then we have again “solved the problem” by not solving the original problem.
When we are successful in solving a problem, maybe it’s because we have changed ourselves, changed the context, or changed the rules.