YES
Input TRS:
      1: a(b(x1)) -> b(a(a(x1)))
      2: b(x1) -> c(a(c(x1)))
      3: a(a(x1)) -> a(c(a(x1)))
Number of strict rules: 3
Direct POLO(bPol) ... removes: 2
      a 	w: x1
      b 	w: x1 + 10451
      c 	w: x1
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #a(a(x1)) -> #a(c(a(x1)))
     #2: #a(b(x1)) -> #a(a(x1))
     #3: #a(b(x1)) -> #a(x1)
Number of SCCs: 1, DPs: 2
  SCC { #2 #3 }
POLO(Sum)... succeeded.
      a 	w: x1
      b 	w: x1 + 1
      c 	w: 0
      #a 	w: x1
    USABLE RULES: { 1 3 }
    Removed DPs: #2 #3
Number of SCCs: 0, DPs: 0