/home/nowonder/forschung/aprove/TPDB05/TRS/AProVE/AAECC.trs

The program

(VAR x n h t m pid store)
(RULES
  fstsplit(0, x) -> nil
  fstsplit(s(n), nil) -> nil
  fstsplit(s(n), cons(h, t)) -> cons(h, fstsplit(n, t))
  sndsplit(0, x) -> x
  sndsplit(s(n), nil) -> nil
  sndsplit(s(n), cons(h, t)) -> sndsplit(n, t)
  empty(nil) -> true
  empty(cons(h, t)) -> false
  leq(0, m) -> true
  leq(s(n), 0) -> false
  leq(s(n), s(m)) -> leq(n, m)
  length(nil) -> 0
  length(cons(h, t)) -> s(length(t))
  app(nil, x) -> x
  app(cons(h, t), x) -> cons(h, app(t, x))
  map_f(pid, nil) -> nil
  map_f(pid, cons(h, t)) -> app(f(pid, h), map_f(pid, t))
  process(store, m) -> if1(store, m, leq(m, length(store)))
  if1(store, m, true) -> if2(store, m, empty(fstsplit(m, store)))
  if1(store, m, false) -> if3(store, m, empty(fstsplit(m, app(map_f(self, nil), store))))
  if2(store, m, false) -> process(app(map_f(self, nil), sndsplit(m, store)), m)
  if3(store, m, false) -> process(sndsplit(m, app(map_f(self, nil), store)), m)
)

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