YES
Time: 0.020

Problem:
 Equations:
  
 TRS:
  h(L(x)) -> 0()
  h(NAC(x,y)) -> maxAC(h(x),h(y))
  maxAC(0(),x) -> x
  maxAC(x,0()) -> x
  maxAC(s(x),s(y)) -> s(maxxAC(x,y))
  maxxAC(0(),x) -> x
  maxxAC(x,0()) -> x
  maxxAC(s(x),s(y)) -> s(maxAC(x,y))

Proof:
 AC-KBO Processor:
  precedence:
   maxxAC ~ maxAC ~ NAC > h > s ~ 0 ~ L
   weight function:
    w0 = 2
    w(0) = w(maxxAC) = 10
    w(NAC) = 9
    w(s) = w(L) = w(maxAC) = 6
    w(h) = 2
   problem:
    Equations:
     
    TRS:
     
   Qed