YES
Input TRS:
      1: b(c(a(x1))) -> a(b(a(b(c(x1)))))
      2: b(x1) -> c(c(x1))
      3: c(d(x1)) -> a(b(c(a(x1))))
      4: a(a(x1)) -> a(c(b(a(x1))))
Number of strict rules: 4
Direct POLO(bPol) ... removes: 3
      a 	w: x1
      d 	w: x1 + 7
      b 	w: x1
      c 	w: x1
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(c(a(x1))) -> #a(b(a(b(c(x1)))))
     #2: #b(c(a(x1))) -> #b(a(b(c(x1))))
     #3: #b(c(a(x1))) -> #a(b(c(x1)))
     #4: #b(c(a(x1))) -> #b(c(x1))
     #5: #a(a(x1)) -> #a(c(b(a(x1))))
     #6: #a(a(x1)) -> #b(a(x1))
Number of SCCs: 1, DPs: 1
  SCC { #4 }
POLO(Sum)... succeeded.
      a 	w: x1 + 1
      d 	w: 0
      b 	w: 0
      c 	w: x1 + 28958
      #a 	w: 0
      #b 	w: x1
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0