YES
Input TRS:
      1: c(a(b(a(x1)))) -> a(b(a(a(c(a(b(c(a(b(x1))))))))))
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying c^1_a c
      1: c^1_a^1_b(a(x1)) -> a(b(a(a(c^1_a^1_b(c^1_a^1_b(x1))))))
      2: c(a(_1)) ->= c^1_a(_1)
      3: c^1_a(b(_1)) ->= c^1_a^1_b(_1)
Number of strict rules: 1
Direct POLO(bPol) ... removes: 3 2
      a 	w: x1
      b 	w: x1
      c^1_a	w: x1 + 1
      c 	w: x1 + 2
      c^1_a^1_b	w: x1
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Dependency Pairs:
     #1: #c^1_a^1_b(a(x1)) -> #c^1_a^1_b(c^1_a^1_b(x1))
     #2: #c^1_a^1_b(a(x1)) -> #c^1_a^1_b(x1)
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      a 	w: x1 + 21240
      b 	w: 21239
      c^1_a	w: 0
      c 	w: 0
      c^1_a^1_b	w: x1 + 21239
      #c^1_a^1_b	w: x1
    USABLE RULES: { 1 }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0