Oh, it's the usual hilarious Creationist misunderstanding of the second law of thermodynamics and entropy, of course.
Any summer you can see amorphous and disorganized masses of clouds "spontaneously" organize themselves into hurricanes with perfectly circular eyes surrounded by spiral bands. They 1) aren't even alive and 2) aren't being directed by any higher intelligence to organize.
The earth isn't a closed system and gets a net energy input from the sun.
Problem with your presentation is in this statement. The earth isn't a closed system per se; but, the universe is. And the Earth lives in that universe. The sun is destructive to everything it presents itself to with one exception - chlorophyl. So, your own example destroys your premise. You can introduce energy into any system you want, that doesn't mean the system is capable of making use of said energy. Wherever it can't make use of said energy, said energy is destructive to the system - not beneficial. Thus the law itself. Your exception to the rule requires another exception to the rule to be relevant in minor circumstances. If a man dies on the operating table and is brain dead at 90, you can introduce all the energy to his system you want, the brain is dead and the body will continue decaying. The end of that is disorder as the body breaks down. You can keep the circulatory system and resperatory system going; but, without the brain to tell every other system what to do, you're just spinning your wheels. It's like putting a car with a dead engine up on blocks and spinning the wheels to convince someone that the car is still good. Not without an engine it ain't. Introduce all the energy to that car you want, it ain't goin anywhere unless you can replace the engine. In the case of the human body - that's impossible.