2.30/1.57	MAYBE
2.30/1.57	
2.30/1.57	Proof:
2.30/1.57	ConCon could not decide confluence of the system.
2.30/1.57	\cite{ALS94}, Theorem 4.1 does not apply.
2.30/1.57	This system is of type 3 or smaller.
2.30/1.57	This system is strongly deterministic.
2.30/1.57	This system is of type 3 or smaller.
2.30/1.57	This system is deterministic.
2.30/1.57	This system is non-terminating.
2.30/1.57	Call external tool:
2.30/1.57	./ttt2.sh
2.30/1.57	Input:
2.30/1.57	(VAR x y z)
2.30/1.57	(RULES
2.30/1.57	  up(x) -> x
2.30/1.57	  down(x) -> x
2.30/1.57	  up(x) -> up(s(x))
2.30/1.57	  down(s(x)) -> down(x)
2.30/1.57	  between(x, y, z) -> true
2.30/1.57	  between(x, y, z) -> down(z)
2.30/1.57	  between(x, y, z) -> up(x)
2.30/1.57	  s(x) -> x
2.30/1.57	  between(x, y, z) -> x
2.30/1.57	  between(x, y, z) -> y
2.30/1.57	  between(x, y, z) -> z
2.30/1.57	  up(x) -> x
2.30/1.57	  down(x) -> x
2.30/1.57	)
2.30/1.57	
2.30/1.57	 Containment Processor: loop length: 1
2.30/1.57	                        terms:
2.30/1.57	                         up(x)
2.30/1.57	                        context: []
2.30/1.57	                        substitution:
2.30/1.57	                         x -> s(x)
2.30/1.57	  Qed
2.30/1.57	ConCon could not decide if this system is quasi-decreasing.
2.30/1.57	\cite{A14}, Theorem 11.5.9 does not apply.
2.30/1.57	This system is of type 3 or smaller.
2.30/1.57	This system is deterministic.
2.30/1.57	This system is non-terminating.
2.30/1.57	Call external tool:
2.30/1.57	./ttt2.sh
2.30/1.57	Input:
2.30/1.57	(VAR x y z)
2.30/1.57	(RULES
2.30/1.57	  up(x) -> x
2.30/1.57	  down(x) -> x
2.30/1.57	  up(x) -> up(s(x))
2.30/1.57	  down(s(x)) -> down(x)
2.30/1.57	  between(x, y, z) -> true
2.30/1.57	  between(x, y, z) -> down(z)
2.30/1.57	  between(x, y, z) -> up(x)
2.30/1.57	  s(x) -> x
2.30/1.57	  between(x, y, z) -> x
2.30/1.57	  between(x, y, z) -> y
2.30/1.57	  between(x, y, z) -> z
2.30/1.57	  up(x) -> x
2.30/1.57	  down(x) -> x
2.30/1.57	)
2.30/1.57	
2.30/1.57	 Containment Processor: loop length: 1
2.30/1.57	                        terms:
2.30/1.57	                         up(x)
2.30/1.57	                        context: []
2.30/1.57	                        substitution:
2.30/1.57	                         x -> s(x)
2.30/1.57	  Qed
2.30/1.57	
2.30/1.59	EOF