YES
Input TRS:
      1: t(o(x1)) -> m(a(x1))
      2: t(e(x1)) -> n(s(x1))
      3: a(l(x1)) -> a(t(x1))
      4: o(m(a(x1))) -> t(e(n(x1)))
      5: s(a(x1)) -> l(a(t(o(m(a(t(e(x1))))))))
      6: n(s(x1)) -> a(l(a(t(x1))))
Number of strict rules: 6
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #t(e(x1)) -> #n(s(x1))
     #2: #t(e(x1)) -> #s(x1)
     #3: #n(s(x1)) -> #a(l(a(t(x1))))
     #4: #n(s(x1)) -> #a(t(x1))
     #5: #n(s(x1)) -> #t(x1)
     #6: #s(a(x1)) -> #a(t(o(m(a(t(e(x1)))))))
     #7: #s(a(x1)) -> #t(o(m(a(t(e(x1))))))
     #8: #s(a(x1)) -> #o(m(a(t(e(x1)))))
     #9: #s(a(x1)) -> #a(t(e(x1)))
     #10: #s(a(x1)) -> #t(e(x1))
     #11: #a(l(x1)) -> #a(t(x1))
     #12: #a(l(x1)) -> #t(x1)
     #13: #t(o(x1)) -> #a(x1)
     #14: #o(m(a(x1))) -> #t(e(n(x1)))
     #15: #o(m(a(x1))) -> #n(x1)
Number of SCCs: 1, DPs: 11
  SCC { #1..3 #5 #7 #8 #10 #12..15 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: max(x1 + 18007, 0)
      s 	w: max(x1 + 24009, 0)
      n 	w: max(x1 - 6002, 0)
      t 	w: max(x1 - 21010, 0)
      l 	w: max(x1 - 21005, 0)
      o 	w: max(x1 + 30010, 0)
      #s 	w: max(x1 + 30015, 0)
      #o 	w: max(x1 + 30014, 0)
      e 	w: max(x1 + 39017, 0)
      #a 	w: max(x1 + 21007, 0)
      #t 	w: max(x1 - 9002, 0)
      #n 	w: max(x1 + 1, 0)
      m 	w: max(x1 - 18006, 0)
    USABLE RULES: { 1..6 }
    Removed DPs: #1 #3 #5 #7 #10 #12 #13 #15
Number of SCCs: 1, DPs: 3
  SCC { #2 #8 #14 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: max(x1 + 2540, 0)
      s 	w: max(x1 + 3387, 0)
      n 	w: max(x1 - 847, 0)
      t 	w: max(x1 - 3385, 0)
      l 	w: max(x1 - 2541, 0)
      o 	w: max(x1 + 5077, 0)
      #s 	w: max(x1 + 3388, 0)
      #o 	w: max(x1 + 4230, 0)
      e 	w: max(x1 + 5926, 0)
      #a 	w: max(x1 + 21007, 0)
      #t 	w: max(x1 - 1697, 0)
      #n 	w: max(x1 + 1, 0)
      m 	w: max(x1 - 3384, 0)
    USABLE RULES: { 1..6 }
    Removed DPs: #2 #8 #14
Number of SCCs: 0, DPs: 0