Would it take more 'infinite' energy to move a spaceship to the speed of light than it would to move a molecule of atoms to the speed of light?

Lets say you are putting energy into the two objects equally and at the same time. Would the extremely massive spaceship or the single atom reach the speed of light first?

They would reach the speed of light simultaneously and here's why:

It takes an infinite amount of energy to make any particle of mass move at the speed of light. To acquire this much energy it would take all of the energy for an infinite amount of time.

So, they would both happen at the same time, and also never. It's similar to the idea that the mass of an atom * infinite energy = mass of spaceship * infinite energy. It doesn't change the fact that infinity is still infinity. Great question!

In other words: The energy required moves to infinity while time moves to infinity. The two lines showing energy per time intersect at the point (infinity, infinity).

The atom would accelerate faster at first and show a much higher velocity for the time right after you started adding energy to them, but after a while their speeds get closer and closer and closer to each other until they finally intersect at the speed of light and infinite time!