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 Z:S)
0.00/0.01	(RULES
0.00/0.01	f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S))
0.00/0.01	g(0,Y:S) -> 0
0.00/0.01	g(X:S,s(Y:S)) -> g(X:S,Y:S)
0.00/0.01	h(X:S,Z:S) -> f(X:S,s(X:S),Z: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(X:S,Y:S,g(X:S,Y:S)) -> H(0,g(X:S,Y:S))
0.00/0.01	 G(X:S,s(Y:S)) -> G(X:S,Y:S)
0.00/0.01	 H(X:S,Z:S) -> F(X:S,s(X:S),Z:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S))
0.00/0.01	 g(0,Y:S) -> 0
0.00/0.01	 g(X:S,s(Y:S)) -> g(X:S,Y:S)
0.00/0.01	 h(X:S,Z:S) -> f(X:S,s(X:S),Z: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(X:S,Y:S,g(X:S,Y:S)) -> H(0,g(X:S,Y:S))
0.00/0.01	 G(X:S,s(Y:S)) -> G(X:S,Y:S)
0.00/0.01	 H(X:S,Z:S) -> F(X:S,s(X:S),Z:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S))
0.00/0.01	 g(0,Y:S) -> 0
0.00/0.01	 g(X:S,s(Y:S)) -> g(X:S,Y:S)
0.00/0.01	 h(X:S,Z:S) -> f(X:S,s(X:S),Z:S)
0.00/0.01	->Strongly Connected Components:
0.00/0.01	->->Cycle:
0.00/0.01	->->-> Pairs:
0.00/0.01	 G(X:S,s(Y:S)) -> G(X:S,Y:S)
0.00/0.01	->->-> Rules:
0.00/0.01	 f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S))
0.00/0.01	 g(0,Y:S) -> 0
0.00/0.01	 g(X:S,s(Y:S)) -> g(X:S,Y:S)
0.00/0.01	 h(X:S,Z:S) -> f(X:S,s(X:S),Z:S)
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	Subterm Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 G(X:S,s(Y:S)) -> G(X:S,Y:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S))
0.00/0.01	 g(0,Y:S) -> 0
0.00/0.01	 g(X:S,s(Y:S)) -> g(X:S,Y:S)
0.00/0.01	 h(X:S,Z:S) -> f(X:S,s(X:S),Z:S)
0.00/0.01	->Projection:
0.00/0.01	 pi(G) = 2
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	 Empty
0.00/0.01	-> Rules:
0.00/0.01	 f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S))
0.00/0.01	 g(0,Y:S) -> 0
0.00/0.01	 g(X:S,s(Y:S)) -> g(X:S,Y:S)
0.00/0.01	 h(X:S,Z:S) -> f(X:S,s(X:S),Z: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