YES
Input TRS:
      1: a(b(a(a(x1)))) -> c(b(a(b(a(x1)))))
      2: a(c(b(x1))) -> a(a(b(c(b(a(x1))))))
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #a(c(b(x1))) -> #a(a(b(c(b(a(x1))))))
     #2: #a(c(b(x1))) -> #a(b(c(b(a(x1)))))
     #3: #a(c(b(x1))) -> #a(x1)
     #4: #a(b(a(a(x1)))) -> #a(b(a(x1)))
Number of SCCs: 2, DPs: 2
  SCC { #3 }
POLO(Sum)... succeeded.
      a 	w: 0
      b 	w: x1 + 1
      c 	w: x1
      #a 	w: x1
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 1
  SCC { #4 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: max(x1 + 40951, 0)
      b 	w: max(x1 - 76048, 0)
      c 	w: 46805
      #a 	w: max(x1 + 35098, 0)
    USABLE RULES: { 1 2 }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0