Mapping method power unleashed && solving binding condition in 08.2016 style

Original System

(x1=>x2)^(x2⊕x3)^(x3=>x4)^(x4=>x5)^(x5=>x6)=1
(y1=>y2)^(y2=>y3)^(y3⊕y4)^(y4=>y5)^(y5=>y6)=1
(z1=>z2)^(z2=>z3)^(z3=>z4)^(z4⊕z5)^(z5=>z6)=1
(x6+y6+z6) =1

    Solving final equation via splitting graph nodes
   

 

         Passing Polyakov's control
 

Consider another system

(x1=>x2)^(x2⊕x3)^(x3=>x4)^(x4=>x5)^(x5=>x6)=1
(y1=>y2)^(y2=>y3)^(y3⊕y4)^(y4=>y5)^(y5=>y6)=1
(z1=>z2)^(z2=>z3)^(z3=>z4)^(z4⊕z5)^(z5=>z6)=1
(x1+y2+z3) =1 

Here we intend to manage via pass to centre per Helen Mironchick

Passing Polyakov's Control