We prove the conjecture in the special case where there is no square xyzt in the cube such that xy and zt get value 0, while yz and xt get value 1. The paper by Tomas Feder and Carlos Subi (submitted) can be found at
http://theory.stanford.edu/~tomas/antipod.ps
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special case proven
We prove the conjecture in the special case where there is no square xyzt in the cube such that xy and zt get value 0, while yz and xt get value 1. The paper by Tomas Feder and Carlos Subi (submitted) can be found at
http://theory.stanford.edu/~tomas/antipod.ps