No, it is you that is not logical.
Again, consider that intelligence exists. What made it? The only way that complex things are made in the universe is that something more complex caused them to exist as they do. This is evident from the complex machinery that people make. People are way more complex than the machinery that they make. So, whatever caused people and their intelligence to exist, must be way more complex and intelligent than people. Such intelligence fits the definition of the word "God."
Wake up.
Ok I was a bit upset in my last post so I'll answer you in a more calm and polite manner. Sorry for my previous behaviour.
I understand what you're saying. So I have an easy example to prove you're wrong:
What are you made of? Atoms. Elements, chimical elements. Where do they come from? Stars.
How are they made? It's EXTREMELY SIMPLE! An incredible amount of mass causes a huge pressure in a star and leads Helium and Hydrogene to fuse to form more complex elements.
So here you are. It's wrong to assume that "The only way that complex things are made in the universe is that something more complex caused them to exist as they do." Everything is made from the smallest and most simple elements existing: Helium and Hydrogene.
As I said, you're confusing energy and complexity, for sure anything created contains less energy than what it's made of. That's the base of entropy. But it can be far more complex!
So as simple things can be combined in order to create complex ones, the rest of your reasonning is no longer true.