YES
Time: 0.016

Problem:
 Equations:
  
 TRS:
  plusAC(x,0()) -> x
  plusAC(x,s(y)) -> s(plusAC(x,y))
  sumAC(nil(),nil()) -> 0()
  sumAC(cons(x,xs),nil()) -> plusAC(x,sumAC(xs,nil()))
  sumAC(nil(),cons(x,xs)) -> plusAC(x,sumAC(nil(),xs))
  sumAC(cons(x,xs),cons(y,ys)) -> plusAC(plusAC(x,y),sumAC(xs,ys))

Proof:
 AC-KBO Processor:
  precedence:
   sumAC ~ plusAC > cons ~ nil ~ s ~ 0
   weight function:
    w0 = 2
    w(s) = 15
    w(cons) = 8
    w(0) = 4
    w(sumAC) = 3
    w(nil) = 2
    w(plusAC) = 0
   problem:
    Equations:
     
    TRS:
     
   Qed