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(0,1,g(x:S,y:S),z:S) -> f(g(x:S,y:S),g(x:S,y:S),g(x:S,y:S),h(x:S))
0.00/0.01	g(0,1) -> 0
0.00/0.01	g(0,1) -> 1
0.00/0.01	h(g(x:S,y:S)) -> h(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(0,1,g(x:S,y:S),z:S) -> F(g(x:S,y:S),g(x:S,y:S),g(x:S,y:S),h(x:S))
0.00/0.01	 F(0,1,g(x:S,y:S),z:S) -> H(x:S)
0.00/0.01	 H(g(x:S,y:S)) -> H(x:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(0,1,g(x:S,y:S),z:S) -> f(g(x:S,y:S),g(x:S,y:S),g(x:S,y:S),h(x:S))
0.00/0.01	 g(0,1) -> 0
0.00/0.01	 g(0,1) -> 1
0.00/0.01	 h(g(x:S,y:S)) -> h(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(0,1,g(x:S,y:S),z:S) -> F(g(x:S,y:S),g(x:S,y:S),g(x:S,y:S),h(x:S))
0.00/0.01	 F(0,1,g(x:S,y:S),z:S) -> H(x:S)
0.00/0.01	 H(g(x:S,y:S)) -> H(x:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(0,1,g(x:S,y:S),z:S) -> f(g(x:S,y:S),g(x:S,y:S),g(x:S,y:S),h(x:S))
0.00/0.01	 g(0,1) -> 0
0.00/0.01	 g(0,1) -> 1
0.00/0.01	 h(g(x:S,y:S)) -> h(x:S)
0.00/0.01	->Strongly Connected Components:
0.00/0.01	->->Cycle:
0.00/0.01	->->-> Pairs:
0.00/0.01	 H(g(x:S,y:S)) -> H(x:S)
0.00/0.01	->->-> Rules:
0.00/0.01	 f(0,1,g(x:S,y:S),z:S) -> f(g(x:S,y:S),g(x:S,y:S),g(x:S,y:S),h(x:S))
0.00/0.01	 g(0,1) -> 0
0.00/0.01	 g(0,1) -> 1
0.00/0.01	 h(g(x:S,y:S)) -> h(x: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	 H(g(x:S,y:S)) -> H(x:S)
0.00/0.01	-> Rules:
0.00/0.01	 f(0,1,g(x:S,y:S),z:S) -> f(g(x:S,y:S),g(x:S,y:S),g(x:S,y:S),h(x:S))
0.00/0.01	 g(0,1) -> 0
0.00/0.01	 g(0,1) -> 1
0.00/0.01	 h(g(x:S,y:S)) -> h(x:S)
0.00/0.01	->Projection:
0.00/0.01	 pi(H) = 1
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(0,1,g(x:S,y:S),z:S) -> f(g(x:S,y:S),g(x:S,y:S),g(x:S,y:S),h(x:S))
0.00/0.01	 g(0,1) -> 0
0.00/0.01	 g(0,1) -> 1
0.00/0.01	 h(g(x:S,y:S)) -> h(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