Larks comments on You don't need Kant - Less Wrong
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The answer I heard somewhere was that this line of reasoning was an application of the meta-maxim 'I will invent highly specific maxims to allow me to do whatever I want', which itself cannot be willed as a universal law without contradiction.
Edit: alternatively, the CI was intended to be a necessary condition, not a sufficient one. (disclaimer: I haven't read much Kant in the origional)