The Activity Club and the House of Frost

Before you can panic in earnest, light drips into view, as if the darkness is ink being washed away. It's not bright by any means, but you can see.

You stand alone in a stone room with a high ceiling. Around you are four large doors.

On your right, there is a door bearing a lightning bolt symbol.

On your left, there is a door bearing a paint splotch symbol.

Behind you, there is a door bearing a symbol of two flipping arrows.

In front of you, there is a door bearing four symbols. The BOTTOM symbol is the lightning bolt. The next symbol is the paint splotch. The next symbol is the flipping arrows. And on the very TOP, there is a symbol of a gear.

After you get a decent look at the place, a booming voice cackles from seemingly nowhere.

"I AM THE JACK OF FROST," says the voice. "I SEE YOU AND YOUR FRIENDS ARE LOST. SOLVE MY RIDDLES, THERE ARE THREE, AND I WILL SET ALL OF YOU FREE."

Wow! This sucks! You want to go home and not deal with this spirit's horse hockey! But your friends are in here somewhere (you hope), and you need to find them. Besides, how hard can three riddles be?

It's time to take on the House of Frost.

Upon further examination of the room, the only things of note in it are the doors. Which door do you examine first?
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