0.00/0.01	YES
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	(VAR v_NonEmpty:S X:S Y:S)
0.00/0.01	(RULES
0.00/0.01	f(0,1,X:S) -> f(X:S,X:S,X:S)
0.00/0.01	g(X:S,Y:S) -> X:S
0.00/0.01	g(X:S,Y:S) -> Y:S
0.00/0.01	) 
0.00/0.01	(STRATEGY INNERMOST)
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	 F(0,1,X:S) -> F(X:S,X:S,X:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(0,1,X:S) -> f(X:S,X:S,X:S)
0.00/0.01	 g(X:S,Y:S) -> X:S
0.00/0.01	 g(X:S,Y:S) -> Y:S
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	 F(0,1,X:S) -> F(X:S,X:S,X:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(0,1,X:S) -> f(X:S,X:S,X:S)
0.00/0.01	 g(X:S,Y:S) -> X:S
0.00/0.01	 g(X:S,Y:S) -> Y:S
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