YES
Input TRS:
      1: f(f(a(),a()),x) -> f(f(x,a()),f(a(),f(a(),a())))
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying f
      1: f^2_a(a(),x) -> f(f(x,a()),f^1_a(f^1_a(a())))
      2: f(a(),_1) ->= f^1_a(_1)
      3: f(f^1_a(_1),_2) ->= f^2_a(_1,_2)
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Dependency Pairs:
     #1: #f(f^1_a(_1),_2) ->? #f^2_a(_1,_2)
     #2: #f^2_a(a(),x) -> #f(f(x,a()),f^1_a(f^1_a(a())))
     #3: #f^2_a(a(),x) -> #f(x,a())
Number of SCCs: 1, DPs: 3
  SCC { #1..3 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [14460;14459]
      f 	w: [1,0;1,0] * x2
      #f^2_a	w: [1,0;0,0] * x1 + [0,1;0,0] * x2 + [1;0]
      f^1_a	w: [0,0;1,0] * x1
      #f 	w: [0,1;0,0] * x1 + [0,1;0,0] * x2 + [1;0]
      f^2_a	w: [1,0;0,0] * x2
    USABLE RULES: { 1..3 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: 2650
      f 	w: max(x1 + x2 - 3975, 0)
      #f^2_a	w: max(x1 + x2 - 1, 0)
      f^1_a	w: max(x1 - 1325, 0)
      #f 	w: max(x1 + x2 + 2649, 0)
      f^2_a	w: max(x2 - 5300, 0)
    USABLE RULES: { 1..3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0