YES
Input TRS:
      1: a(s(x1)) -> s(a(x1))
      2: b(a(b(s(x1)))) -> a(b(s(a(x1))))
      3: b(a(b(b(x1)))) -> a(b(a(b(x1))))
      4: a(b(a(a(x1)))) -> b(a(b(a(x1))))
Number of strict rules: 4
Direct POLO(bPol) ... removes: 1 2
      a 	w: 2 * x1 + 7579
      s 	w: x1 + 1
      b 	w: 2 * x1 + 7579
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(a(b(b(x1)))) -> #a(b(a(b(x1))))
     #2: #b(a(b(b(x1)))) -> #b(a(b(x1)))
     #3: #b(a(b(b(x1)))) -> #a(b(x1))
     #4: #a(b(a(a(x1)))) -> #b(a(b(a(x1))))
     #5: #a(b(a(a(x1)))) -> #a(b(a(x1)))
     #6: #a(b(a(a(x1)))) -> #b(a(x1))
Number of SCCs: 1, DPs: 6
  SCC { #1..6 }
POLO(Sum)... succeeded.
      a 	w: x1 + 2438
      s 	w: 0
      b 	w: x1 + 2438
      #a 	w: x1
      #b 	w: x1
    USABLE RULES: { 3 4 }
    Removed DPs: #2 #3 #5 #6
Number of SCCs: 1, DPs: 2
  SCC { #1 #4 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [0,1;0,1] * x1 + [1;27191]
      s 	w: [0;0]
      b 	w: [1,0;1,0] * x1 + [27191;1]
      #a 	w: [1,0;0,0] * x1 + [0;1]
      #b 	w: [0,1;0,0] * x1 + [27190;1]
    USABLE RULES: { 3 4 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0