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  • $\begingroup$ That looks good, I am glad you did it, I will go to sleep :). $\endgroup$ Commented May 28, 2013 at 22:26
  • $\begingroup$ I'd use FindInstance in preference to Reduce, for the particular task of deciding existence (of solutions). $\endgroup$ Commented May 28, 2013 at 22:46
  • $\begingroup$ @Artes Yeah, no surprise the quantifier elimination would need either infinite time or memory, and possibly both. $\endgroup$ Commented May 29, 2013 at 0:00