"Effectively disproven" with regard to religion. I'll take a stab at this, because it's a personal grievance of mine. As a result of the Enlightenment, empiricism became the de facto standard for verifying or justifying what is "real" or "true". But empiricism is blind to many things that we still interact with in our everyday lives, and consider "real" and that we have ongoing beliefs about.
Numbers are an example. Numbers are a strictly metaphysical set of categories and rules, and they can relate to physicality, but there is no physical evidence for the idea of "seven", for example. Logic is another example. Cities are another example.
Ok, cities might need a little explaining to show what I mean, because you say "A city is physical!" and I say yes, but it's also metaphysical. I'll reduce it from city to a mayor to explain more clearly. Does the mayor exist? If you walk into the city office, you can meet with the mayor. So the mayor is real. However, if you go to the bar with the mayor and he starts talking about his car insurance or his marriage after a couple of drinks, you're no longer talking to the mayor. You're talking to Steve, who acts as the mayor during the day, but is also a person with a private life. Now, if Steve dies that night on his way home from the bar, does the mayor cease to exist? Well, in a way, yes, but in a few days, a new mayor will be appointed and in the meantime there will be an "acting mayor". So is the mayor real?
We could say the same for a city. It has physical boundaries, and if you don't pay your water bill "to the city", then the "city will turn off your water". Is it some entity called "city" who comes to your house and turns the valve? No. It is a member of the city's "body" that comes and turns off your water. So is the city "real"?
Marriage is another example. A couple that is married acts differently than a couple who is not married, and if the marriage ends, that can have drastic, real effects on the people in the marriage. So is marriage "real"?