YES
Input TRS:
      1: a(b(x1)) -> b(c(a(x1)))
      2: b(c(x1)) -> c(b(b(x1)))
      3: a(c(x1)) -> c(a(b(x1)))
      4: a(a(x1)) -> a(d(d(d(x1))))
      5: d(a(x1)) -> d(d(c(x1)))
      6: a(d(d(c(x1)))) -> a(a(a(d(x1))))
      7: e(e(f(f(x1)))) -> f(f(f(e(e(x1)))))
      8: e(x1) -> a(x1)
      9: b(d(x1)) -> d(d(x1))
Number of strict rules: 9
Direct POLO(bPol) ... removes: 8 7
      a 	w: x1
      d 	w: x1
      b 	w: x1
      c 	w: x1
      f 	w: x1 + 26286
      e 	w: 2 * x1 + 8946
Number of strict rules: 7
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(c(x1)) -> #b(b(x1))
     #2: #b(c(x1)) -> #b(x1)
     #3: #a(d(d(c(x1)))) -> #a(a(a(d(x1))))
     #4: #a(d(d(c(x1)))) -> #a(a(d(x1)))
     #5: #a(d(d(c(x1)))) -> #a(d(x1))
     #6: #a(d(d(c(x1)))) -> #d(x1)
     #7: #b(d(x1)) -> #d(d(x1))
     #8: #d(a(x1)) -> #d(d(c(x1)))
     #9: #d(a(x1)) -> #d(c(x1))
     #10: #a(c(x1)) -> #a(b(x1))
     #11: #a(c(x1)) -> #b(x1)
     #12: #a(b(x1)) -> #b(c(a(x1)))
     #13: #a(b(x1)) -> #a(x1)
     #14: #a(a(x1)) -> #a(d(d(d(x1))))
     #15: #a(a(x1)) -> #d(d(d(x1)))
     #16: #a(a(x1)) -> #d(d(x1))
     #17: #a(a(x1)) -> #d(x1)
Number of SCCs: 2, DPs: 7
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      a 	w: 1
      d 	w: 1
      b 	w: x1
      c 	w: x1 + 7720
      f 	w: 0
      #d 	w: 0
      e 	w: 0
      #a 	w: 0
      #b 	w: x1
    USABLE RULES: { 2 9 }
    Removed DPs: #1 #2
Number of SCCs: 1, DPs: 5
  SCC { #3..5 #10 #13 }
POLO(Sum)... succeeded.
      a 	w: 8856
      d 	w: 8857
      b 	w: x1
      c 	w: x1
      f 	w: 0
      #d 	w: 0
      e 	w: 0
      #a 	w: x1
      #b 	w: x1
    USABLE RULES: { 1..6 9 }
    Removed DPs: #3 #4
Number of SCCs: 2, DPs: 3
  SCC { #5 }
POLO(Sum)... POLO(max)... succeeded.
      a 	w: x1 + 11294
      d 	w: x1 + 1
      b 	w: 0
      c 	w: x1 + 11293
      f 	w: 0
      #d 	w: 0
      e 	w: 0
      #a 	w: x1
      #b 	w: 0
    USABLE RULES: { 5 }
    Removed DPs: #5
Number of SCCs: 1, DPs: 2
  SCC { #10 #13 }
POLO(Sum)... POLO(max)... succeeded.
      a 	w: x1 + 1
      d 	w: x1
      b 	w: x1
      c 	w: x1 + 1
      f 	w: 0
      #d 	w: 0
      e 	w: 0
      #a 	w: x1
      #b 	w: 0
    USABLE RULES: { 2 5 9 }
    Removed DPs: #10
Number of SCCs: 1, DPs: 1
  SCC { #13 }
POLO(Sum)... succeeded.
      a 	w: 29525
      d 	w: 1
      b 	w: x1 + 28101
      c 	w: 1424
      f 	w: 0
      #d 	w: 0
      e 	w: 0
      #a 	w: x1
      #b 	w: x1
    USABLE RULES: { 1..6 9 }
    Removed DPs: #13
Number of SCCs: 0, DPs: 0