YES
Input TRS:
      1: b(a(b(b(a(b(a(x1))))))) -> a(b(a(a(b(b(a(b(b(a(x1))))))))))
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying b
      1: b^1_a(b(b^1_a(b^1_a(x1)))) -> a(b^1_a(a(b(b^1_a(b(b^1_a(x1)))))))
      2: b(a(_1)) ->= b^1_a(_1)
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Dependency Pairs:
     #1: #b(a(_1)) ->? #b^1_a(_1)
     #2: #b^1_a(b(b^1_a(b^1_a(x1)))) -> #b^1_a(a(b(b^1_a(b(b^1_a(x1))))))
     #3: #b^1_a(b(b^1_a(b^1_a(x1)))) -> #b(b^1_a(b(b^1_a(x1))))
     #4: #b^1_a(b(b^1_a(b^1_a(x1)))) -> #b^1_a(b(b^1_a(x1)))
     #5: #b^1_a(b(b^1_a(b^1_a(x1)))) -> #b(b^1_a(x1))
Number of SCCs: 1, DPs: 4
  SCC { #1 #3..5 }
POLO(Sum)... succeeded.
      a 	w: x1
      b 	w: 24869
      b^1_a	w: 24867
      #b 	w: x1 + 1
      #b^1_a	w: x1
    USABLE RULES: { 1 2 }
    Removed DPs: #1 #3 #5
Number of SCCs: 1, DPs: 1
  SCC { #4 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: max(x1 - 8857, 0)
      b 	w: max(x1 + 17714, 0)
      b^1_a	w: max(x1 + 8857, 0)
      #b 	w: 0
      #b^1_a	w: max(x1 - 26570, 0)
    USABLE RULES: { 1 2 }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0