YES

Problem:
 t(o(x1)) -> m(a(x1))
 t(e(x1)) -> n(s(x1))
 a(l(x1)) -> a(t(x1))
 o(m(a(x1))) -> t(e(n(x1)))
 s(a(x1)) -> l(a(t(o(m(a(t(e(x1))))))))
 n(s(x1)) -> a(l(a(t(x1))))

Proof:
 DP Processor:
  DPs:
   t#(o(x1)) -> a#(x1)
   t#(e(x1)) -> s#(x1)
   t#(e(x1)) -> n#(s(x1))
   a#(l(x1)) -> t#(x1)
   a#(l(x1)) -> a#(t(x1))
   o#(m(a(x1))) -> n#(x1)
   o#(m(a(x1))) -> t#(e(n(x1)))
   s#(a(x1)) -> t#(e(x1))
   s#(a(x1)) -> a#(t(e(x1)))
   s#(a(x1)) -> o#(m(a(t(e(x1)))))
   s#(a(x1)) -> t#(o(m(a(t(e(x1))))))
   s#(a(x1)) -> a#(t(o(m(a(t(e(x1)))))))
   n#(s(x1)) -> t#(x1)
   n#(s(x1)) -> a#(t(x1))
   n#(s(x1)) -> a#(l(a(t(x1))))
  TRS:
   t(o(x1)) -> m(a(x1))
   t(e(x1)) -> n(s(x1))
   a(l(x1)) -> a(t(x1))
   o(m(a(x1))) -> t(e(n(x1)))
   s(a(x1)) -> l(a(t(o(m(a(t(e(x1))))))))
   n(s(x1)) -> a(l(a(t(x1))))
  Arctic Interpretation Processor:
   dimension: 1
   usable rules:
    t(o(x1)) -> m(a(x1))
    t(e(x1)) -> n(s(x1))
    a(l(x1)) -> a(t(x1))
    o(m(a(x1))) -> t(e(n(x1)))
    s(a(x1)) -> l(a(t(o(m(a(t(e(x1))))))))
    n(s(x1)) -> a(l(a(t(x1))))
   interpretation:
    [o#](x0) = 1x0 + 10,
    
    [n#](x0) = -11x0 + 8,
    
    [s#](x0) = 8x0 + -9,
    
    [a#](x0) = 3x0 + -16,
    
    [t#](x0) = x0,
    
    [l](x0) = -2x0 + 1,
    
    [n](x0) = -10x0 + 0,
    
    [s](x0) = 13x0 + 15,
    
    [e](x0) = 9x0 + 9,
    
    [m](x0) = -3x0 + 0,
    
    [a](x0) = 3x0 + 3,
    
    [t](x0) = -3x0 + 0,
    
    [o](x0) = 4x0 + 10
   orientation:
    t#(o(x1)) = 4x1 + 10 >= 3x1 + -16 = a#(x1)
    
    t#(e(x1)) = 9x1 + 9 >= 8x1 + -9 = s#(x1)
    
    t#(e(x1)) = 9x1 + 9 >= 2x1 + 8 = n#(s(x1))
    
    a#(l(x1)) = 1x1 + 4 >= x1 = t#(x1)
    
    a#(l(x1)) = 1x1 + 4 >= x1 + 3 = a#(t(x1))
    
    o#(m(a(x1))) = 1x1 + 10 >= -11x1 + 8 = n#(x1)
    
    o#(m(a(x1))) = 1x1 + 10 >= -1x1 + 9 = t#(e(n(x1)))
    
    s#(a(x1)) = 11x1 + 11 >= 9x1 + 9 = t#(e(x1))
    
    s#(a(x1)) = 11x1 + 11 >= 9x1 + 9 = a#(t(e(x1)))
    
    s#(a(x1)) = 11x1 + 11 >= 7x1 + 10 = o#(m(a(t(e(x1)))))
    
    s#(a(x1)) = 11x1 + 11 >= 10x1 + 10 = t#(o(m(a(t(e(x1))))))
    
    s#(a(x1)) = 11x1 + 11 >= 10x1 + 10 = a#(t(o(m(a(t(e(x1)))))))
    
    n#(s(x1)) = 2x1 + 8 >= x1 = t#(x1)
    
    n#(s(x1)) = 2x1 + 8 >= x1 + 3 = a#(t(x1))
    
    n#(s(x1)) = 2x1 + 8 >= 1x1 + 4 = a#(l(a(t(x1))))
    
    t(o(x1)) = 1x1 + 7 >= x1 + 0 = m(a(x1))
    
    t(e(x1)) = 6x1 + 6 >= 3x1 + 5 = n(s(x1))
    
    a(l(x1)) = 1x1 + 4 >= x1 + 3 = a(t(x1))
    
    o(m(a(x1))) = 4x1 + 10 >= -4x1 + 6 = t(e(n(x1)))
    
    s(a(x1)) = 16x1 + 16 >= 8x1 + 8 = l(a(t(o(m(a(t(e(x1))))))))
    
    n(s(x1)) = 3x1 + 5 >= 1x1 + 4 = a(l(a(t(x1))))
   problem:
    DPs:
     
    TRS:
     t(o(x1)) -> m(a(x1))
     t(e(x1)) -> n(s(x1))
     a(l(x1)) -> a(t(x1))
     o(m(a(x1))) -> t(e(n(x1)))
     s(a(x1)) -> l(a(t(o(m(a(t(e(x1))))))))
     n(s(x1)) -> a(l(a(t(x1))))
   Qed