YES
Input TRS:
      1: b(b(x1)) -> c(d(x1))
      2: c(c(x1)) -> d(d(d(x1)))
      3: c(x1) -> g(x1)
      4: d(d(x1)) -> c(f(x1))
      5: d(d(d(x1))) -> g(c(x1))
      6: f(x1) -> a(g(x1))
      7: g(x1) -> d(a(b(x1)))
      8: g(g(x1)) -> b(c(x1))
Number of strict rules: 8
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #c(c(x1)) -> #d(d(d(x1)))
     #2: #c(c(x1)) -> #d(d(x1))
     #3: #c(c(x1)) -> #d(x1)
     #4: #f(x1) -> #g(x1)
     #5: #g(x1) -> #d(a(b(x1)))
     #6: #g(x1) -> #b(x1)
     #7: #d(d(d(x1))) -> #g(c(x1))
     #8: #d(d(d(x1))) -> #c(x1)
     #9: #c(x1) -> #g(x1)
     #10: #b(b(x1)) -> #c(d(x1))
     #11: #b(b(x1)) -> #d(x1)
     #12: #g(g(x1)) -> #b(c(x1))
     #13: #g(g(x1)) -> #c(x1)
     #14: #d(d(x1)) -> #c(f(x1))
     #15: #d(d(x1)) -> #f(x1)
Number of SCCs: 1, DPs: 14
  SCC { #1..4 #6..15 }
POLO(Sum)... succeeded.
      a 	w: 1
      d 	w: x1 + 17718
      b 	w: x1 + 26577
      c 	w: x1 + 26577
      f 	w: 1
      #d 	w: x1
      #f 	w: x1 + 8859
      #g 	w: x1 + 8858
      #c 	w: x1 + 17715
      g 	w: x1 + 26577
      #b 	w: x1 + 8857
    USABLE RULES: { 1..8 }
    Removed DPs: #1..4 #6..15
Number of SCCs: 0, DPs: 0