[refurb]

It's easier to think of a closed system and what the temperature of water vs. ice would be with just a phase change.

1 kg of ice turning into 1 kg of water requires 333,550 J.

1 kg of water require 4184 J to warm up 1 C.

So ignoring all the physical constraints, if you were to turn 1kg of ice "magically" into liquid water, keeping the total energy of the system the same, you'd end up with 1 kg of water at -80C (yes, I know I'm ignoring entropy).