YES

TRS:

  natsFrom(N) -> cons(N,n__natsFrom(n__s(N)))
  fst(pair(XS,YS)) -> XS
  snd(pair(XS,YS)) -> YS
  splitAt(0(),XS) -> pair(nil(),XS)
  splitAt(s(N),cons(X,XS)) -> u(splitAt(N,activate(XS)),N,X,activate(XS))
  u(pair(YS,ZS),N,X,XS) -> pair(cons(activate(X),YS),ZS)
  head(cons(N,XS)) -> N
  tail(cons(N,XS)) -> activate(XS)
  sel(N,XS) -> head(afterNth(N,XS))
  take(N,XS) -> fst(splitAt(N,XS))
  afterNth(N,XS) -> snd(splitAt(N,XS))
  natsFrom(X) -> n__natsFrom(X)
  s(X) -> n__s(X)
  activate(n__natsFrom(X)) -> natsFrom(activate(X))
  activate(n__s(X)) -> s(activate(X))
  activate(X) -> X

max/plus interpretations on N:

  natsFrom_A(x1) = max{2, -2 + x1}
  natsFrom#_A(x1) = max{1, 3}
  cons_A(x1,x2) = max{1, -2 + x1, x2}
  cons#_A(x1,x2) = max{0, 0, 2}
  n__natsFrom_A(x1) = max{1, -2 + x1}
  n__natsFrom#_A(x1) = max{3, 1}
  n__s_A(x1) = max{1, x1}
  n__s#_A(x1) = max{1, 2}
  fst_A(x1) = max{8, 1 + x1}
  fst#_A(x1) = max{6, 4}
  pair_A(x1,x2) = max{5, -1 + x1, -1 + x2}
  pair#_A(x1,x2) = max{3, 4, 4}
  snd_A(x1) = max{3, 2 + x1}
  snd#_A(x1) = max{8, 6}
  splitAt_A(x1,x2) = max{7, 1 + x1, -1 + x2}
  splitAt#_A(x1,x2) = max{4, 4, 4}
  0_A = 7
  0#_A = 4
  nil_A = 9
  nil#_A = 3
  s_A(x1) = max{2, x1}
  s#_A(x1) = max{3, 3}
  u_A(x1,x2,x3,x4) = max{4, x1, 1, -3 + x3, -3}
  u#_A(x1,x2,x3,x4) = max{4, 4, 4, 4, 4}
  activate_A(x1) = max{8, x1}
  activate#_A(x1) = max{4, -1}
  head_A(x1) = max{11, 2 + x1}
  head#_A(x1) = max{9, 9}
  tail_A(x1) = max{8, 6 + x1}
  tail#_A(x1) = max{5, 0}
  sel_A(x1,x2) = max{3, 11 + x1, 3 + x2}
  sel#_A(x1,x2) = max{8, 10, 10}
  afterNth_A(x1,x2) = max{2, 9 + x1, 1 + x2}
  afterNth#_A(x1,x2) = max{5, 7, 10}
  take_A(x1,x2) = max{7, 8 + x1, 1 + x2}
  take#_A(x1,x2) = max{5, 7, 7}

precedence:

  take > fst = splitAt > u > cons = pair = tail = sel > 0 = s = activate = head = afterNth > natsFrom = snd = nil > n__natsFrom = n__s