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Nov 23, 2014 at 0:58 comment added Hao Chen I finally got my own proof complete, and propose a fix to your proof, see my revised answer.
Nov 22, 2014 at 23:36 comment added Hao Chen Nah, I'm not. Please see my answer.
Nov 22, 2014 at 22:50 comment added Hao Chen Sorry for the previous comment. I'm now OK with your proof.
Nov 22, 2014 at 19:47 vote accept Rob
Nov 22, 2014 at 19:44 comment added Rob Brilliant - thanks a lot. It was not immediately obvious to me how the key observation (the emptyness of ORP) followed from symmetry. I've flushed this part out a bit and am now convinced. I'm going to write that flushed out version into a answer to my own question, since I cannot include things like carriage returns inside a comment.
Nov 22, 2014 at 18:53 history edited GH from MO CC BY-SA 3.0
fixed grammar in the first sentence
Nov 22, 2014 at 18:52 history answered domotorp CC BY-SA 3.0