YES
Input TRS:
      1: c(b(a(a(x1)))) -> a(a(b(c(x1))))
      2: b(a(a(a(x1)))) -> a(a(a(b(x1))))
      3: a(b(c(x1))) -> c(b(a(x1)))
      4: c(c(b(b(x1)))) -> b(b(c(c(x1))))
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(a(a(a(x1)))) -> #a(a(a(b(x1))))
     #2: #b(a(a(a(x1)))) -> #a(a(b(x1)))
     #3: #b(a(a(a(x1)))) -> #a(b(x1))
     #4: #b(a(a(a(x1)))) -> #b(x1)
     #5: #a(b(c(x1))) -> #c(b(a(x1)))
     #6: #a(b(c(x1))) -> #b(a(x1))
     #7: #a(b(c(x1))) -> #a(x1)
     #8: #c(b(a(a(x1)))) -> #a(a(b(c(x1))))
     #9: #c(b(a(a(x1)))) -> #a(b(c(x1)))
     #10: #c(b(a(a(x1)))) -> #b(c(x1))
     #11: #c(b(a(a(x1)))) -> #c(x1)
     #12: #c(c(b(b(x1)))) -> #b(b(c(c(x1))))
     #13: #c(c(b(b(x1)))) -> #b(c(c(x1)))
     #14: #c(c(b(b(x1)))) -> #c(c(x1))
     #15: #c(c(b(b(x1)))) -> #c(x1)
Number of SCCs: 1, DPs: 15
  SCC { #1..15 }
POLO(Sum)... succeeded.
      a 	w: x1 + 5854
      b 	w: x1 + 4685
      c 	w: x1 + 30613
      #c 	w: x1 + 25928
      #a 	w: x1 + 1169
      #b 	w: x1
    USABLE RULES: { 1..4 }
    Removed DPs: #2..4 #6 #7 #9..11 #13..15
Number of SCCs: 1, DPs: 4
  SCC { #1 #5 #8 #12 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [0,1;0,0] * x1
      b 	w: [0,0;1,0] * x1
      c 	w: [1,0;0,0] * x1 + [31302;0]
      #c 	w: [1,0;0,0] * x1 + [1;0]
      #a 	w: [0,1;0,0] * x1
      #b 	w: [1;0]
    USABLE RULES: { 1..4 }
    Removed DPs: #1 #5 #8 #12
Number of SCCs: 0, DPs: 0