YES

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

Proof:
 DP Processor:
  DPs:
   b#(a(a(b(a(b(a(x1))))))) -> b#(x1)
   b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1))))
   b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1)))))
   b#(a(a(b(a(b(a(x1))))))) -> b#(a(b(b(a(a(b(x1)))))))
  TRS:
   b(a(a(b(a(b(a(x1))))))) -> a(a(b(a(b(b(a(a(b(x1)))))))))
  CDG Processor:
   DPs:
    b#(a(a(b(a(b(a(x1))))))) -> b#(x1)
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1)))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(b(b(a(a(b(x1)))))))
   TRS:
    b(a(a(b(a(b(a(x1))))))) -> a(a(b(a(b(b(a(a(b(x1)))))))))
   graph:
    b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1))))) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(x1)
    b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1))))) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1))))) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1)))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1))))) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(b(b(a(a(b(x1)))))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1)))) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(x1)
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1)))) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1)))) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1)))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1)))) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(b(b(a(a(b(x1)))))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(x1) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(x1)
    b#(a(a(b(a(b(a(x1))))))) -> b#(x1) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(x1) ->
    b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1)))))
    b#(a(a(b(a(b(a(x1))))))) -> b#(x1) -> b#(a(a(b(a(b(a(x1))))))) -> b#(a(b(b(a(a(b(x1)))))))
   SCC Processor:
    #sccs: 1
    #rules: 3
    #arcs: 12/16
    DPs:
     b#(a(a(b(a(b(a(x1))))))) -> b#(b(a(a(b(x1)))))
     b#(a(a(b(a(b(a(x1))))))) -> b#(a(a(b(x1))))
     b#(a(a(b(a(b(a(x1))))))) -> b#(x1)
    TRS:
     b(a(a(b(a(b(a(x1))))))) -> a(a(b(a(b(b(a(a(b(x1)))))))))
    Matrix Interpretation Processor: dim=5
     
     interpretation:
      [b#](x0) = [0 1 0 0 0]x0 + [1],
      
                [0 1 0 0 0]     [0]
                [0 1 0 0 0]     [0]
      [b](x0) = [1 0 0 0 0]x0 + [1]
                [0 1 0 0 0]     [0]
                [0 0 0 0 0]     [1],
      
                [0 1 0 0 0]  
                [0 0 1 0 0]  
      [a](x0) = [0 0 0 1 0]x0
                [0 0 0 0 0]  
                [0 0 0 0 0]  
     orientation:
      b#(a(a(b(a(b(a(x1))))))) = [0 1 0 0 0]x1 + [2] >= [0 1 0 0 0]x1 + [1] = b#(b(a(a(b(x1)))))
      
      b#(a(a(b(a(b(a(x1))))))) = [0 1 0 0 0]x1 + [2] >= [0 1 0 0 0]x1 + [1] = b#(a(a(b(x1))))
      
      b#(a(a(b(a(b(a(x1))))))) = [0 1 0 0 0]x1 + [2] >= [0 1 0 0 0]x1 + [1] = b#(x1)
      
                                [0 1 0 0 0]     [1]    [0 1 0 0 0]     [1]                                
                                [0 1 0 0 0]     [1]    [0 1 0 0 0]     [1]                                
      b(a(a(b(a(b(a(x1))))))) = [0 0 1 0 0]x1 + [2] >= [0 0 0 0 0]x1 + [0] = a(a(b(a(b(b(a(a(b(x1)))))))))
                                [0 1 0 0 0]     [1]    [0 0 0 0 0]     [0]                                
                                [0 0 0 0 0]     [1]    [0 0 0 0 0]     [0]                                
     problem:
      DPs:
       
      TRS:
       b(a(a(b(a(b(a(x1))))))) -> a(a(b(a(b(b(a(a(b(x1)))))))))
     Qed