I've made some changes to my twitter profile and my twitter avatar. You are smart, you'll figure it out. ;-) 
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So, here's a thing. Years ago I remember Matti presenting a graph of an experiment he did. Each time the solver pruned the clause database, he recorded it and tracked how many were repeated. Turns out after a while 80-90% of learnt clauses were duplicates.
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Every proof of completeness for CDCL variants I have seen has been hand-wavy as anything. So... 1. I am not sure that "will eventually return an answer" is true. 2. Once you take learnt clause pruning into account, I think CDCL may be more than exponential.
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