Vergil Sparda vs Zeus(God of War)

vs

Vergil looking for Zeus to kill him because Zeus killed Dante. Could he succeed? Vergil has his Yamato and Beowulf and Zeus has Blade of Olympus and his Lightning Fury. Morals on. No BFR. Death or KO. Takes a place in Paris.

Who wins?

Yamato will cause serious problems for Zeus if Vergil lands even a single hit with it.

But even if he does manage to kill him, Vergil doesn't have an answer for his spectral form.