YES

Problem:
 c(z,x,a()) -> f(b(b(f(z),z),x))
 b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
 f(c(c(z,a(),a()),x,a())) -> z

Proof:
 DP Processor:
  DPs:
   c#(z,x,a()) -> f#(z)
   c#(z,x,a()) -> b#(f(z),z)
   c#(z,x,a()) -> b#(b(f(z),z),x)
   c#(z,x,a()) -> f#(b(b(f(z),z),x))
   b#(y,b(z,a())) -> f#(a())
   b#(y,b(z,a())) -> c#(f(a()),y,z)
   b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
   b#(y,b(z,a())) -> f#(b(c(f(a()),y,z),z))
  TRS:
   c(z,x,a()) -> f(b(b(f(z),z),x))
   b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
   f(c(c(z,a(),a()),x,a())) -> z
  TDG Processor:
   DPs:
    c#(z,x,a()) -> f#(z)
    c#(z,x,a()) -> b#(f(z),z)
    c#(z,x,a()) -> b#(b(f(z),z),x)
    c#(z,x,a()) -> f#(b(b(f(z),z),x))
    b#(y,b(z,a())) -> f#(a())
    b#(y,b(z,a())) -> c#(f(a()),y,z)
    b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
    b#(y,b(z,a())) -> f#(b(c(f(a()),y,z),z))
   TRS:
    c(z,x,a()) -> f(b(b(f(z),z),x))
    b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
    f(c(c(z,a(),a()),x,a())) -> z
   graph:
    b#(y,b(z,a())) -> b#(c(f(a()),y,z),z) ->
    b#(y,b(z,a())) -> f#(b(c(f(a()),y,z),z))
    b#(y,b(z,a())) -> b#(c(f(a()),y,z),z) ->
    b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
    b#(y,b(z,a())) -> b#(c(f(a()),y,z),z) ->
    b#(y,b(z,a())) -> c#(f(a()),y,z)
    b#(y,b(z,a())) -> b#(c(f(a()),y,z),z) ->
    b#(y,b(z,a())) -> f#(a())
    b#(y,b(z,a())) -> c#(f(a()),y,z) ->
    c#(z,x,a()) -> f#(b(b(f(z),z),x))
    b#(y,b(z,a())) -> c#(f(a()),y,z) ->
    c#(z,x,a()) -> b#(b(f(z),z),x)
    b#(y,b(z,a())) -> c#(f(a()),y,z) -> c#(z,x,a()) -> b#(f(z),z)
    b#(y,b(z,a())) -> c#(f(a()),y,z) -> c#(z,x,a()) -> f#(z)
    c#(z,x,a()) -> b#(b(f(z),z),x) ->
    b#(y,b(z,a())) -> f#(b(c(f(a()),y,z),z))
    c#(z,x,a()) -> b#(b(f(z),z),x) ->
    b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
    c#(z,x,a()) -> b#(b(f(z),z),x) ->
    b#(y,b(z,a())) -> c#(f(a()),y,z)
    c#(z,x,a()) -> b#(b(f(z),z),x) -> b#(y,b(z,a())) -> f#(a())
    c#(z,x,a()) -> b#(f(z),z) -> b#(y,b(z,a())) -> f#(b(c(f(a()),y,z),z))
    c#(z,x,a()) -> b#(f(z),z) -> b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
    c#(z,x,a()) -> b#(f(z),z) -> b#(y,b(z,a())) -> c#(f(a()),y,z)
    c#(z,x,a()) -> b#(f(z),z) -> b#(y,b(z,a())) -> f#(a())
   SCC Processor:
    #sccs: 1
    #rules: 4
    #arcs: 16/64
    DPs:
     b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
     b#(y,b(z,a())) -> c#(f(a()),y,z)
     c#(z,x,a()) -> b#(f(z),z)
     c#(z,x,a()) -> b#(b(f(z),z),x)
    TRS:
     c(z,x,a()) -> f(b(b(f(z),z),x))
     b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
     f(c(c(z,a(),a()),x,a())) -> z
    Arctic Interpretation Processor:
     dimension: 1
     usable rules:
      c(z,x,a()) -> f(b(b(f(z),z),x))
      b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
      f(c(c(z,a(),a()),x,a())) -> z
     interpretation:
      [c#](x0, x1, x2) = 4x0 + x1 + x2 + 4,
      
      [c](x0, x1, x2) = 1x0 + 4,
      
      [b](x0, x1) = x0 + 4,
      
      [a] = 0,
      
      [b#](x0, x1) = x0 + x1 + 0,
      
      [f](x0) = x0 + 0
     orientation:
      b#(y,b(z,a())) = y + z + 4 >= z + 4 = b#(c(f(a()),y,z),z)
      
      b#(y,b(z,a())) = y + z + 4 >= y + z + 4 = c#(f(a()),y,z)
      
      c#(z,x,a()) = x + 4z + 4 >= z + 0 = b#(f(z),z)
      
      c#(z,x,a()) = x + 4z + 4 >= x + z + 4 = b#(b(f(z),z),x)
      
      c(z,x,a()) = 1z + 4 >= z + 4 = f(b(b(f(z),z),x))
      
      b(y,b(z,a())) = y + 4 >= 4 = f(b(c(f(a()),y,z),z))
      
      f(c(c(z,a(),a()),x,a())) = 2z + 5 >= z = z
     problem:
      DPs:
       b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
       b#(y,b(z,a())) -> c#(f(a()),y,z)
       c#(z,x,a()) -> b#(b(f(z),z),x)
      TRS:
       c(z,x,a()) -> f(b(b(f(z),z),x))
       b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
       f(c(c(z,a(),a()),x,a())) -> z
     Restore Modifier:
      DPs:
       b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
       b#(y,b(z,a())) -> c#(f(a()),y,z)
       c#(z,x,a()) -> b#(b(f(z),z),x)
      TRS:
       c(z,x,a()) -> f(b(b(f(z),z),x))
       b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
       f(c(c(z,a(),a()),x,a())) -> z
      Arctic Interpretation Processor:
       dimension: 1
       usable rules:
        c(z,x,a()) -> f(b(b(f(z),z),x))
        b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
        f(c(c(z,a(),a()),x,a())) -> z
       interpretation:
        [c#](x0, x1, x2) = -2x0 + -4x1 + -5x2 + 0,
        
        [c](x0, x1, x2) = 3x0 + -3x1 + 0,
        
        [b](x0, x1) = x0 + -1x1 + -16,
        
        [a] = 6,
        
        [b#](x0, x1) = -4x0 + -5x1 + 0,
        
        [f](x0) = -5x0 + 0
       orientation:
        b#(y,b(z,a())) = -4y + -5z + 0 >= -7y + -5z + 0 = b#(c(f(a()),y,z),z)
        
        b#(y,b(z,a())) = -4y + -5z + 0 >= -4y + -5z + 0 = c#(f(a()),y,z)
        
        c#(z,x,a()) = -4x + -2z + 1 >= -5x + -5z + 0 = b#(b(f(z),z),x)
        
        c(z,x,a()) = -3x + 3z + 0 >= -6x + -6z + 0 = f(b(b(f(z),z),x))
        
        b(y,b(z,a())) = y + -1z + 4 >= -8y + -6z + 0 = f(b(c(f(a()),y,z),z))
        
        f(c(c(z,a(),a()),x,a())) = -8x + 1z + 1 >= z = z
       problem:
        DPs:
         b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
         b#(y,b(z,a())) -> c#(f(a()),y,z)
        TRS:
         c(z,x,a()) -> f(b(b(f(z),z),x))
         b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
         f(c(c(z,a(),a()),x,a())) -> z
       Restore Modifier:
        DPs:
         b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
         b#(y,b(z,a())) -> c#(f(a()),y,z)
        TRS:
         c(z,x,a()) -> f(b(b(f(z),z),x))
         b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
         f(c(c(z,a(),a()),x,a())) -> z
        SCC Processor:
         #sccs: 1
         #rules: 1
         #arcs: 8/4
         DPs:
          b#(y,b(z,a())) -> b#(c(f(a()),y,z),z)
         TRS:
          c(z,x,a()) -> f(b(b(f(z),z),x))
          b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
          f(c(c(z,a(),a()),x,a())) -> z
         Size-Change Termination Processor:
          DPs:
           
          TRS:
           c(z,x,a()) -> f(b(b(f(z),z),x))
           b(y,b(z,a())) -> f(b(c(f(a()),y,z),z))
           f(c(c(z,a(),a()),x,a())) -> z
          The DP: b#(y,b(z,a())) -> b#(c(f(a()),y,z),z) has the edges:
            1 >   1
          Qed