117.24/31.05	MAYBE
117.24/31.05	
117.24/31.05	Proof:
117.24/31.05	ConCon could not decide confluence of the system.
117.24/31.05	\cite{ALS94}, Theorem 4.1 does not apply.
117.24/31.05	This system is of type 3 or smaller.
117.24/31.05	This system is strongly deterministic.
117.24/31.05	This system is of type 3 or smaller.
117.24/31.05	This system is deterministic.
117.24/31.05	ConCon could not decide if this system is quasi-decreasing.
117.24/31.05	\cite{O02}, p. 214, Proposition 7.2.50 does not apply.
117.24/31.05	This system is of type 3 or smaller.
117.24/31.05	This system is deterministic.
117.24/31.05	System R transformed to optimized U(R).
117.24/31.05	The external tool could not decide termination of the system.
117.24/31.05	Call external tool:
117.24/31.05	./ttt2.sh
117.24/31.05	Input:
117.24/31.05	(VAR x t store pid n h m)
117.24/31.05	(RULES
117.24/31.05	  fstsplit(s(n), cons(h, t)) -> cons(h, fstsplit(n, t))
117.24/31.05	  map_f(pid, nil) -> nil
117.24/31.05	  leq(s(n), s(m)) -> leq(n, m)
117.24/31.05	  app(cons(h, t), x) -> cons(h, app(t, x))
117.24/31.05	  sndsplit(s(n), nil) -> nil
117.24/31.05	  process(store, m) -> ?1(leq(m, length(store)), store, m)
117.24/31.05	  ?1(false, store, m) -> ?3(empty(fstsplit(m, app(map_f(self, nil), store))), store, m)
117.24/31.05	  ?3(false, store, m) -> process(sndsplit(m, app(map_f(self, nil), store)), m)
117.24/31.05	  fstsplit(s(n), nil) -> nil
117.24/31.05	  sndsplit(0, x) -> x
117.24/31.05	  empty(nil) -> true
117.24/31.05	  length(cons(h, t)) -> s(length(t))
117.24/31.05	  process(store, m) -> ?1(leq(m, length(store)), store, m)
117.24/31.05	  ?1(true, store, m) -> ?2(empty(fstsplit(m, store)), store, m)
117.24/31.05	  ?2(false, store, m) -> process(app(map_f(self, nil), sndsplit(m, store)), m)
117.24/31.05	  leq(0, m) -> true
117.24/31.05	  map_f(pid, cons(h, t)) -> app(f(pid, h), map_f(pid, t))
117.24/31.05	  empty(cons(h, t)) -> false
117.24/31.05	  fstsplit(0, x) -> nil
117.24/31.05	  app(nil, x) -> x
117.24/31.05	  sndsplit(s(n), cons(h, t)) -> sndsplit(n, t)
117.24/31.05	  leq(s(n), 0) -> false
117.24/31.05	  length(nil) -> 0
117.24/31.05	)
117.24/31.05	
117.24/31.05	
117.53/31.06	EOF