Answer:
The statement that contradicts with the big bang theory is Over time, distant galaxies move progressively closer to Earth.
Step-by-step explanation:
In 1927, the Belgian Catholic priest Georges Lemaître proposed an expanding model for the universe to explain the observed redshifts of spiral nebulae, and calculated the Hubble law. Hence he laid the foundation of Big Bang Theory according to which the universe is expanding. There is no such statement that says about the contraction of all heavenly bodies towards the earth.