YES

Problem:
 f(a(),f(a(),f(b(),f(a(),f(a(),f(b(),f(a(),x))))))) ->
 f(a(),f(b(),f(a(),f(a(),f(b(),f(a(),f(a(),f(a(),f(b(),x)))))))))

Proof:
 Uncurry Processor:
  a1(a1(b1(a1(a1(b1(a1(x))))))) -> a1(b1(a1(a1(b1(a1(a1(a1(b1(x)))))))))
  f(a(),x1) -> a1(x1)
  f(b(),x1) -> b1(x1)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
               [1 0 0]     [0]
    [b1](x0) = [0 0 1]x0 + [0]
               [0 0 0]     [1],
    
               [1 0 0]  
    [a1](x0) = [1 0 0]x0
               [0 0 0]  ,
    
                  [1 0 0]     [1 1 1]     [1]
    [f](x0, x1) = [0 0 0]x0 + [1 1 1]x1 + [0]
                  [0 0 1]     [0 1 0]     [0],
    
          [0]
    [b] = [0]
          [1],
    
          [0]
    [a] = [0]
          [0]
   orientation:
                                    [1 0 0]     [1 0 0]                                         
    a1(a1(b1(a1(a1(b1(a1(x))))))) = [1 0 0]x >= [1 0 0]x = a1(b1(a1(a1(b1(a1(a1(a1(b1(x)))))))))
                                    [0 0 0]     [0 0 0]                                         
    
                [1 1 1]     [1]    [1 0 0]           
    f(a(),x1) = [1 1 1]x1 + [0] >= [1 0 0]x1 = a1(x1)
                [0 1 0]     [0]    [0 0 0]           
    
                [1 1 1]     [1]    [1 0 0]     [0]         
    f(b(),x1) = [1 1 1]x1 + [0] >= [0 0 1]x1 + [0] = b1(x1)
                [0 1 0]     [1]    [0 0 0]     [1]         
   problem:
    a1(a1(b1(a1(a1(b1(a1(x))))))) -> a1(b1(a1(a1(b1(a1(a1(a1(b1(x)))))))))
   Bounds Processor:
    bound: 1
    enrichment: match
    automaton:
     final states: {1}
     transitions:
      f50() -> 2*
      a{1,0}(10) -> 1*
      a{1,0}(5) -> 6*
      a{1,0}(7) -> 8*
      a{1,0}(4) -> 5*
      a{1,0}(8) -> 9*
      a{1,0}(3) -> 4*
      b{1,0}(2) -> 3*
      b{1,0}(9) -> 10*
      b{1,0}(6) -> 7*
      a{1,1}(47) -> 48*
      a{1,1}(42) -> 43*
      a{1,1}(17) -> 18*
      a{1,1}(12) -> 13*
      a{1,1}(49) -> 50*
      a{1,1}(44) -> 45*
      a{1,1}(19) -> 20*
      a{1,1}(14) -> 15*
      a{1,1}(46) -> 47*
      a{1,1}(16) -> 17*
      a{1,1}(43) -> 44*
      a{1,1}(13) -> 14*
      b{1,1}(45) -> 46*
      b{1,1}(15) -> 16*
      b{1,1}(57) -> 58*
      b{1,1}(51) -> 52*
      b{1,1}(41) -> 42*
      b{1,1}(11) -> 12*
      b{1,1}(48) -> 49*
      b{1,1}(18) -> 19*
      1 -> 44,5
      5 -> 41*
      8 -> 11*
      19 -> 51*
      20 -> 48,9
      49 -> 57*
      50 -> 45,6
      52 -> 12*
      58 -> 42*
    problem:
     
    Qed