0.00/0.01	YES
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	(VAR x xs)
0.00/0.01	(STRATEGY CONTEXTSENSITIVE
0.00/0.01	(cons_1)
0.00/0.01	(from_1)
0.00/0.01	(from_2)
0.00/0.01	(from_3)
0.00/0.01	(cons_0 1 2)
0.00/0.01	(overflow_0)
0.00/0.01	(s_0 1)
0.00/0.01	)
0.00/0.01	(RULES
0.00/0.01	cons_1(s_0(x),xs) -> overflow_0
0.00/0.01	from_1(x) -> cons_0(x,from_3(s_0(x)))
0.00/0.01	from_2(x) -> cons_0(x,from_3(s_0(x)))
0.00/0.01	from_3(x) -> cons_1(x,from_3(s_0(x)))
0.00/0.01	)
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	Innermost Equivalent Processor:
0.00/0.01	-> Rules:
0.00/0.01	 cons_1(s_0(x),xs) -> overflow_0
0.00/0.01	 from_1(x) -> cons_0(x,from_3(s_0(x)))
0.00/0.01	 from_2(x) -> cons_0(x,from_3(s_0(x)))
0.00/0.01	 from_3(x) -> cons_1(x,from_3(s_0(x)))
0.00/0.01	-> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination.
0.00/0.01	 
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	Dependency Pairs Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 FROM_1(x) -> FROM_3(s_0(x))
0.00/0.01	 FROM_1(x) -> x
0.00/0.01	 FROM_2(x) -> FROM_3(s_0(x))
0.00/0.01	 FROM_2(x) -> x
0.00/0.01	 FROM_3(x) -> CONS_1(x,from_3(s_0(x)))
0.00/0.01	-> Rules:
0.00/0.01	 cons_1(s_0(x),xs) -> overflow_0
0.00/0.01	 from_1(x) -> cons_0(x,from_3(s_0(x)))
0.00/0.01	 from_2(x) -> cons_0(x,from_3(s_0(x)))
0.00/0.01	 from_3(x) -> cons_1(x,from_3(s_0(x)))
0.00/0.01	-> Unhiding Rules:
0.00/0.01	 from_3(s_0(x)) -> FROM_3(s_0(x))
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	SCC Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 FROM_1(x) -> FROM_3(s_0(x))
0.00/0.01	 FROM_1(x) -> x
0.00/0.01	 FROM_2(x) -> FROM_3(s_0(x))
0.00/0.01	 FROM_2(x) -> x
0.00/0.01	 FROM_3(x) -> CONS_1(x,from_3(s_0(x)))
0.00/0.01	-> Rules:
0.00/0.01	 cons_1(s_0(x),xs) -> overflow_0
0.00/0.01	 from_1(x) -> cons_0(x,from_3(s_0(x)))
0.00/0.01	 from_2(x) -> cons_0(x,from_3(s_0(x)))
0.00/0.01	 from_3(x) -> cons_1(x,from_3(s_0(x)))
0.00/0.01	-> Unhiding rules:
0.00/0.01	 from_3(s_0(x)) -> FROM_3(s_0(x))
0.00/0.01	->Strongly Connected Components:
0.00/0.01	 There is no strongly connected component
0.00/0.01	
0.00/0.01	The problem is finite.
0.00/0.01	EOF