YES

TRS:

  sort(nil()) -> nil()
  sort(cons(x,y)) -> insert(x,sort(y))
  insert(x,nil()) -> cons(x,nil())
  insert(x,cons(v,w)) -> choose(x,cons(v,w),x,v)
  choose(x,cons(v,w),y,0()) -> cons(x,cons(v,w))
  choose(x,cons(v,w),0(),s(z)) -> cons(v,insert(x,w))
  choose(x,cons(v,w),s(y),s(z)) -> choose(x,cons(v,w),y,z)

max/plus interpretations on N:

  sort_A(x1) = max{8, 1 + x1}
  sort#_A(x1) = max{0, 22 + x1}
  nil_A = 17
  nil#_A = 40
  cons_A(x1,x2) = max{22, 7, 10 + x2}
  cons#_A(x1,x2) = max{1, 2, 21}
  insert_A(x1,x2) = max{12, 9, 10 + x2}
  insert#_A(x1,x2) = max{7, 10, 5 + x2}
  choose_A(x1,x2,x3,x4) = max{21, 16, 10 + x2, 19, 18}
  choose#_A(x1,x2,x3,x4) = max{4, 11, -1 + x2, 21, 3}
  0_A = 1
  0#_A = 0
  s_A(x1) = max{1, 1 + x1}
  s#_A(x1) = max{0, 0}

precedence:

  sort > insert = 0 = s > nil = choose > cons