YES

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

Proof:
 DP Processor:
  DPs:
   f#(f(f(a(),b()),c()),x) -> f#(b(),x)
   f#(f(f(a(),b()),c()),x) -> f#(c(),f(b(),x))
   f#(f(f(a(),b()),c()),x) -> f#(a(),f(c(),f(b(),x)))
   f#(f(f(a(),b()),c()),x) -> f#(b(),f(a(),f(c(),f(b(),x))))
   f#(x,f(y,z)) -> f#(x,y)
   f#(x,f(y,z)) -> f#(f(x,y),z)
  TRS:
   f(f(f(a(),b()),c()),x) -> f(b(),f(a(),f(c(),f(b(),x))))
   f(x,f(y,z)) -> f(f(x,y),z)
  EDG Processor:
   DPs:
    f#(f(f(a(),b()),c()),x) -> f#(b(),x)
    f#(f(f(a(),b()),c()),x) -> f#(c(),f(b(),x))
    f#(f(f(a(),b()),c()),x) -> f#(a(),f(c(),f(b(),x)))
    f#(f(f(a(),b()),c()),x) -> f#(b(),f(a(),f(c(),f(b(),x))))
    f#(x,f(y,z)) -> f#(x,y)
    f#(x,f(y,z)) -> f#(f(x,y),z)
   TRS:
    f(f(f(a(),b()),c()),x) -> f(b(),f(a(),f(c(),f(b(),x))))
    f(x,f(y,z)) -> f(f(x,y),z)
   graph:
    f#(f(f(a(),b()),c()),x) -> f#(c(),f(b(),x)) ->
    f#(x,f(y,z)) -> f#(x,y)
    f#(f(f(a(),b()),c()),x) -> f#(c(),f(b(),x)) ->
    f#(x,f(y,z)) -> f#(f(x,y),z)
    f#(f(f(a(),b()),c()),x) -> f#(b(),f(a(),f(c(),f(b(),x)))) ->
    f#(x,f(y,z)) -> f#(x,y)
    f#(f(f(a(),b()),c()),x) -> f#(b(),f(a(),f(c(),f(b(),x)))) ->
    f#(x,f(y,z)) -> f#(f(x,y),z)
    f#(f(f(a(),b()),c()),x) -> f#(b(),x) ->
    f#(x,f(y,z)) -> f#(x,y)
    f#(f(f(a(),b()),c()),x) -> f#(b(),x) ->
    f#(x,f(y,z)) -> f#(f(x,y),z)
    f#(f(f(a(),b()),c()),x) -> f#(a(),f(c(),f(b(),x))) ->
    f#(x,f(y,z)) -> f#(x,y)
    f#(f(f(a(),b()),c()),x) -> f#(a(),f(c(),f(b(),x))) ->
    f#(x,f(y,z)) -> f#(f(x,y),z)
    f#(x,f(y,z)) -> f#(f(x,y),z) ->
    f#(f(f(a(),b()),c()),x) -> f#(b(),x)
    f#(x,f(y,z)) -> f#(f(x,y),z) ->
    f#(f(f(a(),b()),c()),x) -> f#(c(),f(b(),x))
    f#(x,f(y,z)) -> f#(f(x,y),z) ->
    f#(f(f(a(),b()),c()),x) -> f#(a(),f(c(),f(b(),x)))
    f#(x,f(y,z)) -> f#(f(x,y),z) ->
    f#(f(f(a(),b()),c()),x) -> f#(b(),f(a(),f(c(),f(b(),x))))
    f#(x,f(y,z)) -> f#(f(x,y),z) -> f#(x,f(y,z)) -> f#(x,y)
    f#(x,f(y,z)) -> f#(f(x,y),z) -> f#(x,f(y,z)) -> f#(f(x,y),z)
    f#(x,f(y,z)) -> f#(x,y) -> f#(f(f(a(),b()),c()),x) -> f#(b(),x)
    f#(x,f(y,z)) -> f#(x,y) -> f#(f(f(a(),b()),c()),x) -> f#(c(),f(b(),x))
    f#(x,f(y,z)) -> f#(x,y) ->
    f#(f(f(a(),b()),c()),x) -> f#(a(),f(c(),f(b(),x)))
    f#(x,f(y,z)) -> f#(x,y) ->
    f#(f(f(a(),b()),c()),x) -> f#(b(),f(a(),f(c(),f(b(),x))))
    f#(x,f(y,z)) -> f#(x,y) -> f#(x,f(y,z)) -> f#(x,y)
    f#(x,f(y,z)) -> f#(x,y) -> f#(x,f(y,z)) -> f#(f(x,y),z)
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [f#](x0, x1) = x0 + x1,
     
     [c] = 1,
     
     [f](x0, x1) = x0 + x1,
     
     [b] = 0,
     
     [a] = 1
    orientation:
     f#(f(f(a(),b()),c()),x) = x + 2 >= x = f#(b(),x)
     
     f#(f(f(a(),b()),c()),x) = x + 2 >= x + 1 = f#(c(),f(b(),x))
     
     f#(f(f(a(),b()),c()),x) = x + 2 >= x + 2 = f#(a(),f(c(),f(b(),x)))
     
     f#(f(f(a(),b()),c()),x) = x + 2 >= x + 2 = f#(b(),f(a(),f(c(),f(b(),x))))
     
     f#(x,f(y,z)) = x + y + z >= x + y = f#(x,y)
     
     f#(x,f(y,z)) = x + y + z >= x + y + z = f#(f(x,y),z)
     
     f(f(f(a(),b()),c()),x) = x + 2 >= x + 2 = f(b(),f(a(),f(c(),f(b(),x))))
     
     f(x,f(y,z)) = x + y + z >= x + y + z = f(f(x,y),z)
    problem:
     DPs:
      f#(f(f(a(),b()),c()),x) -> f#(a(),f(c(),f(b(),x)))
      f#(f(f(a(),b()),c()),x) -> f#(b(),f(a(),f(c(),f(b(),x))))
      f#(x,f(y,z)) -> f#(x,y)
      f#(x,f(y,z)) -> f#(f(x,y),z)
     TRS:
      f(f(f(a(),b()),c()),x) -> f(b(),f(a(),f(c(),f(b(),x))))
      f(x,f(y,z)) -> f(f(x,y),z)
    Matrix Interpretation Processor:
     dimension: 1
     interpretation:
      [f#](x0, x1) = x0,
      
      [c] = 0,
      
      [f](x0, x1) = x0,
      
      [b] = 0,
      
      [a] = 1
     orientation:
      f#(f(f(a(),b()),c()),x) = 1 >= 1 = f#(a(),f(c(),f(b(),x)))
      
      f#(f(f(a(),b()),c()),x) = 1 >= 0 = f#(b(),f(a(),f(c(),f(b(),x))))
      
      f#(x,f(y,z)) = x >= x = f#(x,y)
      
      f#(x,f(y,z)) = x >= x = f#(f(x,y),z)
      
      f(f(f(a(),b()),c()),x) = 1 >= 0 = f(b(),f(a(),f(c(),f(b(),x))))
      
      f(x,f(y,z)) = x >= x = f(f(x,y),z)
     problem:
      DPs:
       f#(f(f(a(),b()),c()),x) -> f#(a(),f(c(),f(b(),x)))
       f#(x,f(y,z)) -> f#(x,y)
       f#(x,f(y,z)) -> f#(f(x,y),z)
      TRS:
       f(f(f(a(),b()),c()),x) -> f(b(),f(a(),f(c(),f(b(),x))))
       f(x,f(y,z)) -> f(f(x,y),z)
     Bounds Processor:
      bound: 0
      enrichment: match-dp
      automaton:
       final states: {1}
       transitions:
        f50() -> 2*
        f{#,0}(20,3) -> 1*
        f{#,0}(7,5) -> 1*
        f{#,0}(7,21) -> 1*
        f{#,0}(25,2) -> 1*
        f{#,0}(20,4) -> 1*
        f{#,0}(7,6) -> 1*
        a0() -> 7*
        f0(4,2) -> 4*
        f0(20,3) -> 25*
        f0(5,3) -> 21*
        f0(21,2) -> 6*
        f0(6,2) -> 6*
        f0(7,5) -> 20*
        f0(7,21) -> 25*
        f0(3,2) -> 4*
        f0(25,2) -> 25*
        f0(20,4) -> 25*
        f0(5,4) -> 6*
        f0(7,6) -> 25*
        c0() -> 5*
        b0() -> 3*
      problem:
       DPs:
        f#(x,f(y,z)) -> f#(x,y)
        f#(x,f(y,z)) -> f#(f(x,y),z)
       TRS:
        f(f(f(a(),b()),c()),x) -> f(b(),f(a(),f(c(),f(b(),x))))
        f(x,f(y,z)) -> f(f(x,y),z)
      Subterm Criterion Processor:
       simple projection:
        pi(f#) = 1
       problem:
        DPs:
         
        TRS:
         f(f(f(a(),b()),c()),x) -> f(b(),f(a(),f(c(),f(b(),x))))
         f(x,f(y,z)) -> f(f(x,y),z)
       Qed