YES

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

Proof:
 DP Processor:
  DPs:
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(b(x1))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(b(b(x1)))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(b(b(b(x1))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(b(b(b(b(x1)))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(b(b(b(b(b(x1))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(a(b(b(b(b(b(b(x1))))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(b(a(b(b(b(b(b(b(x1)))))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(a(b(b(a(b(b(b(b(b(b(x1)))))))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) -> b#(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) ->
   b#(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1)))))))))))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) ->
   b#(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) ->
   b#(b(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1)))))))))))))))))
   b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) ->
   b#(b(b(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))))))
  TRS:
   b(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) ->
   b(b(b(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))))))
  Matrix Interpretation Processor: dim=4
   
   interpretation:
    [b#](x0) = [0 1 0 0]x0,
    
              [0 0 0 0]     [0]
              [0 1 0 1]     [0]
    [a](x0) = [0 0 0 0]x0 + [0]
              [0 0 1 0]     [1],
    
              [0 0 1 0]  
              [0 1 0 0]  
    [b](x0) = [0 0 0 1]x0
              [1 0 0 0]  
   orientation:
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 0]x1 = b#(b(x1))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 0]x1 = b#(b(b(x1)))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 0]x1 = b#(b(b(b(x1))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 0]x1 = b#(b(b(b(b(x1)))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 0]x1 = b#(b(b(b(b(b(x1))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(a(b(b(b(b(b(b(x1))))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(b(a(b(b(b(b(b(b(x1)))))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(a(b(b(a(b(b(b(b(b(b(x1)))))))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1)))))))))))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(b(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1)))))))))))))))))
    
    b#(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [1 1 0 1]x1 + [1] >= [0 1 0 1]x1 = b#(b(b(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))))))
    
                                                   [0 0 0 0]     [1]    [0 0 0 0]     [1]                                                           
                                                   [1 1 0 1]     [1]    [0 1 0 1]     [0]                                                           
    b(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) = [0 0 0 0]x1 + [0] >= [0 0 0 0]x1 + [0] = b(b(b(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))))))
                                                   [0 0 0 0]     [0]    [0 0 0 0]     [0]                                                           
   problem:
    DPs:
     
    TRS:
     b(b(a(b(b(a(b(b(b(b(b(b(a(b(x1)))))))))))))) ->
     b(b(b(b(b(a(b(b(a(b(b(a(b(b(b(b(b(b(x1))))))))))))))))))
   Qed