Ulalek, Fused Atrocity, lighting x4?

So with Ulalek on the battlefield let's say I play Artisan of Kozilek, would that happen 2, or 4 times? Because when you play an Eldrazi spell, Ulalek copies all of my spells, and all of my abilities (if I pay 2 extra colorless) (Ulalek can copy it onto another field instead of onto my field)