YES(?,O(n^3))

Problem:
 b(a(b(c(c(b(x1)))))) -> a(b(b(c(c(b(a(x1)))))))

Proof:
 Complexity Transformation Processor:
  strict:
   b(a(b(c(c(b(x1)))))) -> a(b(b(c(c(b(a(x1)))))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 3
   max_matrix:
    [1 1 0]
    [0 1 1]
    [0 0 1]
    interpretation:
               [1 0 0]     [0]
     [a](x0) = [0 0 1]x0 + [1]
               [0 0 0]     [0],
     
               [1 0 0]     [0]
     [c](x0) = [0 0 0]x0 + [0]
               [0 0 1]     [1],
     
               [1 1 0]  
     [b](x0) = [0 1 0]x0
               [0 0 1]  
    orientation:
                            [1 1 1]     [3]    [1 0 1]     [1]                          
     b(a(b(c(c(b(x1)))))) = [0 0 1]x1 + [3] >= [0 0 0]x1 + [3] = a(b(b(c(c(b(a(x1)))))))
                            [0 0 0]     [0]    [0 0 0]     [0]                          
    problem:
     strict:
      
     weak:
      b(a(b(c(c(b(x1)))))) -> a(b(b(c(c(b(a(x1)))))))
    Qed