The “greenhouse effect doesn’t exist” hypothesis has ALREADY been falsified. The midnight temperature on Venus is warmer than the noontime temperature on Mercury. QED.
A formal refutation can be found here: http://arxiv.org/PS_cache/arxiv/pdf/0802/0802.4324v1.pdf — but a more readable explanation of G&T’s major gaffe can be found here: http://www.monthlyreview.org/mrzine/farley040110p.html
Meanwhile, there are quite a few pieces of evidence which, if they existsted, would falsify the greenhouse effect. For example, if the stratosphere were cooling, that would falsify the theory. But it is cooling. Or, if the diurnal temperature range were not decreasing, that would falsify it too. But the diurnal temperature range is decreasing.