Here is Dr Roy Spencer's work on the models and their predictive failures..
Billy does so love Spencer's fraudulent graph. It's all he has, so he posts it over and over. What else can any denier do? The cult has given them marching orders, and they don't dare disobey.
Back in reality, the models have been excellent.
Climate model projections compared to observations
Of course, the success of the models is just icing on the cake. The directly measured data alone proves AGW theory quite nicely, no models needed. There is no natural explanation for the directly measured stratospheric cooling, increase in backradiation and decrease in outgoing longwave in the GHG bands. Those are smoking guns for human-caused warming, and they disprove any "It's a natural cycle!" theories.