Conscious AI hypothetical

Suppose we have a conscious computer program; a program which, when executed, is conscious. We save the memory states and IO from the program at every stage of its execution, and then replay each state, one by one, on a second computer, without actually executing the program. Is the second computer conscious too?

In other words, if a computer is conscious, does its consciousness derive from the instructions it executes, or from the series of states it transitions between?

i think that consciousness is a "meta" feature... you know, because the sum of the components is not what it makes an entity. The relationship between them is as important as each part, so, relationship+parts could spawn self-awareness. What i'm saying is that "consciousness" is in another "plane" different from the one that parts and relationships exists.

Maybe 2nd order cybernetics could help here? Autopoiesis?