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(g(x:S),x:S,y:S) -> f(y:S,y:S,g(y:S))
0.00/0.01	g(g(x:S)) -> g(x: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(g(x:S),x:S,y:S) -> F(y:S,y:S,g(y:S))
0.00/0.01	 F(g(x:S),x:S,y:S) -> G(y:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(g(x:S),x:S,y:S) -> f(y:S,y:S,g(y:S))
0.00/0.01	 g(g(x:S)) -> g(x: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(g(x:S),x:S,y:S) -> F(y:S,y:S,g(y:S))
0.00/0.01	 F(g(x:S),x:S,y:S) -> G(y:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(g(x:S),x:S,y:S) -> f(y:S,y:S,g(y:S))
0.00/0.01	 g(g(x:S)) -> g(x: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