Problem:
 b(w(x)) -> w(w(w(b(x))))
 w(b(x)) -> b(x)
 b(b(x)) -> w(w(w(w(x))))
 w(w(x)) -> w(x)

Proof:
 Church Rosser Transformation Processor (kb):
  b(w(x)) -> w(w(w(b(x))))
  w(b(x)) -> b(x)
  b(b(x)) -> w(w(w(w(x))))
  w(w(x)) -> w(x)
  critical peaks: joinable
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [b](x0) = x0 + 1,
    
    [w](x0) = x0
   orientation:
    b(w(x)) = x + 1 >= x + 1 = w(w(w(b(x))))
    
    w(b(x)) = x + 1 >= x + 1 = b(x)
    
    b(b(x)) = x + 2 >= x = w(w(w(w(x))))
    
    w(w(x)) = x >= x = w(x)
   problem:
    b(w(x)) -> w(w(w(b(x))))
    w(b(x)) -> b(x)
    w(w(x)) -> w(x)
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [b](x0) = 7x0 + 2,
     
     [w](x0) = x0 + 2
    orientation:
     b(w(x)) = 7x + 16 >= 7x + 8 = w(w(w(b(x))))
     
     w(b(x)) = 7x + 4 >= 7x + 2 = b(x)
     
     w(w(x)) = x + 4 >= x + 2 = w(x)
    problem:
     
    Qed