Adobe Illustrator: Inexplicable Transparency


I want to work on an SVG-File I downloaded from here:

I opened it in Illustrator and removed everything but the strokes. But there's a problem, there is some inexplicable transparency on the lines. Opacity is set to 100%, Blending Mode is "Normal", but see for yourself:

Transparency Effect on the overlap of two lines

Can you help me remove this effect?

Edit: Selected a line in the screenshot and here's a dropbox link to the actual file I'm working on:

6/7/2015 5:39:00 PM

Use the Direct Selection Tool (the white arrow) to select a path, then just look at the Appearance Panel.

enter image description here

6/14/2015 8:25:00 AM

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