Which is odd, because by far our best experimentally verified theory is also in conflict with GR. Our measurements for QED are orders of magnitude more accurate, so I'm inclined to believe GR is the incorrect theory.
Some of our measures of QED are very accurate (10 decimal places give or take), but the measurements QCD are much more complicated and the theory doesn't produce nearly as clean values. Also, there are purely QED experiments (muon G2 for example) where there are some serious contradictions.