-Infinity doesn't exist.

1.There can be no number larger than infinity.
2.The sum of all numbers from -inf to inf is larger than infinity.
OR
2.The sum of all number from -inf to inf is infinity.
3.There cannot exist a -inf. It is inherent in saying "infinity"

OP's first mistake is assuming infinity is a real number that behaves just like all the other numbers he learned about in 1st grade when it most certainly is not.