When a rocket is standing on earth the time in the top is going faster that the time at ground/rocket-engine level due to gravitational time-dilation.
Using the equivalence principle with the same rocket accelerating in deep space, again an observer in the top will see the time passing by faster in the top then a traveler at rocket-engine level.
To me this looks like a contradiction because they both will experience the same acceleration and duration of acceleration!
I am confused: how is this possible? What am i missing?