Leyline of Singularity and Wurmcoil Engine

[Jaedayr]

AI had Leyline of Singularity in play and killed my attacking Wurmcoil Engine. It went to the graveyard. Should one of the resulting wurms have entered the battlefield, and if so, which one?

[slowe]

110.5c A spell or ability that creates a creature token sets both its name and its creature type. If the spell or ability doesn’t specify the name of the creature token, its name is the same as its creature type(s). A “Goblin Scout creature token,” for example, is named “Goblin Scout” and has the creature subtypes Goblin and Scout. Once a token is on the battlefield, changing its name doesn’t change its creature type, and vice versa.

Both of the tokens enter play simultaneously, but before anyone can get priority afterward, state-based effects are checked. Then, because they're legendary and have the same name, the tokens are put into the graveyard (and then cease to exist because they're tokens outside the battlefield).