[koun-ter-in-too-i-tiv, -tyoo-]
counter to what intuition would lead one to expect: The direction we had to follow was counterintuitive—we had to go north first before we went south.

1960–65; counter- + intuitive Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
counterintuitive (ˌkaʊntərɪnˈtjuːɪtɪv)
1.  (of an idea, proposal, etc) seemingly contrary to common sense
2.  intelligence collected about enemy espionage

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

also counter-intuitive, 1955, from counter- + intuitive.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Parrish got a counter intuitive finding right off the bat.
It is a spacetime theory and there is nothing of the totally counter intuitive
  result of quantum mechanics in relativity.
All the pieces seems counter intuitive to each other.
It's more than a little counter intuitive, but that's real leadership.
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