MAYBE
Input TRS:
      1: a(a(a(a(x1)))) -> b(b(c(c(x1))))
      2: b(b(b(b(x1)))) -> a(a(c(c(x1))))
      3: c(c(c(c(x1)))) -> b(a(a(a(x1))))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #b(b(b(b(x1)))) -> #a(a(c(c(x1))))
     #2: #b(b(b(b(x1)))) -> #a(c(c(x1)))
     #3: #b(b(b(b(x1)))) -> #c(c(x1))
     #4: #b(b(b(b(x1)))) -> #c(x1)
     #5: #c(c(c(c(x1)))) -> #b(a(a(a(x1))))
     #6: #c(c(c(c(x1)))) -> #a(a(a(x1)))
     #7: #c(c(c(c(x1)))) -> #a(a(x1))
     #8: #c(c(c(c(x1)))) -> #a(x1)
     #9: #a(a(a(a(x1)))) -> #b(b(c(c(x1))))
     #10: #a(a(a(a(x1)))) -> #b(c(c(x1)))
     #11: #a(a(a(a(x1)))) -> #c(c(x1))
     #12: #a(a(a(a(x1)))) -> #c(x1)
Number of SCCs: 1, DPs: 12
  SCC { #1..12 }
POLO(Sum)... succeeded.
      a 	w: x1 + 41063
      b 	w: x1 + 41063
      c 	w: x1 + 41063
      #c 	w: x1 + 82125
      #a 	w: x1
      #b 	w: x1
    USABLE RULES: { 1..3 }
    Removed DPs: #2..8 #10..12
Number of SCCs: 1, DPs: 2
  SCC { #1 #9 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.