YES
Time: 0.000652
TRS:
 {sum 0() -> 0(),
  sum s x -> +(sqr s x, sum x),
  sum s x -> +(*(s x, s x), sum x),
    sqr x -> *(x, x)}
 DP:
  DP:
   {sum# s x -> sum# x,
    sum# s x -> sqr# s x}
  TRS:
  {sum 0() -> 0(),
   sum s x -> +(sqr s x, sum x),
   sum s x -> +(*(s x, s x), sum x),
     sqr x -> *(x, x)}
  EDG:
   {(sum# s x -> sum# x, sum# s x -> sqr# s x)
    (sum# s x -> sum# x, sum# s x -> sum# x)}
   SCCS (1):
    Scc:
     {sum# s x -> sum# x}
    SCC (1):
     Strict:
      {sum# s x -> sum# x}
     Weak:
     {sum 0() -> 0(),
      sum s x -> +(sqr s x, sum x),
      sum s x -> +(*(s x, s x), sum x),
        sqr x -> *(x, x)}
     SPSC:
      Simple Projection:
       pi(sum#) = 0
      Strict:
       {}
      Qed