NO
Input TRS:
      1: f(h(x)) -> f(i(x))
      2: f(i(x)) -> a()
      3: i(x) -> h(x)
Number of strict rules: 3
Direct POLO(bPol) ... removes: 2
      h 	w: x1 + 1
      a 	w: 8856
      f 	w: 2 * x1 + 8855
      i 	w: x1 + 1
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #f(h(x)) -> #f(i(x))
     #2: #f(h(x)) -> #i(x)
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  found.
  #f(h(x_{1}))	-#1->
  #f(i(x_{1}))	--->*
  #f(h(x_{1}))
  Looping with: [ x_{1} := x_{1}; ]