Sentence Correction

One of the primary distinctions between our intelligence with that of other primates may lay not so much in any specific skill but in our ability to extend knowledge gained in one context to new and different ones.

A. between our intelligence with that of other primates may lay not so much in any specific skill but
B. between our intelligence with that of other primates may lie not so much in any specific skill but instead
C. between our intelligence and that of other primates may lie not so much in any specific skill as
D. our intelligence has from that of other primates may lie not in any specific skill as
E. of our intelligence to that of other primates may lay not in any specific skill but

I choose C.

distinctions between X and Y

Another vote for C

Another vote for C

A, B, E - incorrect becuse correct idiom is Not so much X as Y
D - that refers to distinctions rather than intelligence and it is wordy

OA is C.
Thanks for clarifying