I think this guy got his thermodynamics wrong. Ice is not a source of heat. Ice is the result of a lack of heat transfer from the sun.
Liquid water must give up heat to solidify. IIRC 80 calories per gram is the figure.
“....... When water (in any of the three phrases) moves from a higher to a lower ordered state, the air surrounding the H20 will have heat subtracted from it. The three processes that subtract heat from the surrounding air are evaporation, melting and sublimation (solid to gas). When water (in any of the three phrases) moves from a lower to a higher ordered state, the air surrounding the H20 will have energy added to it. This is called a release of latent heat (e.g. when heat is subtracted from liquid water, the individual water molecules will slow down. They eventually slow down to the point at which the hydrogen bonds do not allow the liquid to rotate anymore. Ice now develops. The energy the water molecules once had to rotate has been given up to the surrounding air). The three processes that add heat to the surrounding air are condensation, freezing and deposition (gas to solid).......”
http://www.theweatherprediction.com/habyhints/19/
While not exact, think a window air conditioner. heat transfer normally separated and the heat is vented outside. Put it in the middle of a closed room and the front blows cold while the back vents heat.
While not a closed system, the Earth demonstrates many of the same attributes for the overall conservation of energy/mass.