The scenario usually bandied about is AGI self-improving at an accelerating rate: once you cross the threshold to self-improvement, you quickly get superintelligence with God-like powers beyond human comprehension (a.k.a. the Singularity) as AGI v1 creates a faster AGI v2 which creates a faster AGI v3 etc.

Any AI researchers still plodding along at mere human speed are then doomed: they won't be able to catch up even if they manage to reproduce the original breakthrough, since the head start enjoyed by AGI #1 guarantees that its latest iteration is always further along the exponential self-improvement curve and therefore superior to any would-be competitor. Being rational(ists), they give up and welcome their new AI overlord.

And if not, the AI god will surely make them see the error of their ways.