120.79/120.95	YES
120.79/120.95	
120.79/120.95	Problem 1: 
120.79/120.95	
120.79/120.95	(VAR v_NonEmpty:S x:S y:S)
120.79/120.95	(RULES
120.79/120.95	a(b) -> c
120.79/120.95	f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	h(b,y:S) -> f(y:S,y:S)
120.79/120.95	) 
120.79/120.95	(STRATEGY INNERMOST)
120.79/120.95	
120.79/120.95	Problem 1: 
120.79/120.95	
120.79/120.95	Dependency Pairs Processor:
120.79/120.95	-> Pairs:
120.79/120.95	 F(a(x:S),y:S) -> G(x:S,y:S)
120.79/120.95	 G(x:S,y:S) -> H(x:S,y:S)
120.79/120.95	 H(b,y:S) -> F(y:S,y:S)
120.79/120.95	-> Rules:
120.79/120.95	 a(b) -> c
120.79/120.95	 f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	 g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	 h(b,y:S) -> f(y:S,y:S)
120.79/120.95	
120.79/120.95	Problem 1: 
120.79/120.95	
120.79/120.95	SCC Processor:
120.79/120.95	-> Pairs:
120.79/120.95	 F(a(x:S),y:S) -> G(x:S,y:S)
120.79/120.95	 G(x:S,y:S) -> H(x:S,y:S)
120.79/120.95	 H(b,y:S) -> F(y:S,y:S)
120.79/120.95	-> Rules:
120.79/120.95	 a(b) -> c
120.79/120.95	 f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	 g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	 h(b,y:S) -> f(y:S,y:S)
120.79/120.95	->Strongly Connected Components:
120.79/120.95	->->Cycle:
120.79/120.95	->->-> Pairs:
120.79/120.95	 F(a(x:S),y:S) -> G(x:S,y:S)
120.79/120.95	 G(x:S,y:S) -> H(x:S,y:S)
120.79/120.95	 H(b,y:S) -> F(y:S,y:S)
120.79/120.95	->->-> Rules:
120.79/120.95	 a(b) -> c
120.79/120.95	 f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	 g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	 h(b,y:S) -> f(y:S,y:S)
120.79/120.95	
120.79/120.95	Problem 1: 
120.79/120.95	
120.79/120.95	Instantiation Processor:
120.79/120.95	-> Pairs:
120.79/120.95	 F(a(x:S),y:S) -> G(x:S,y:S)
120.79/120.95	 G(x:S,y:S) -> H(x:S,y:S)
120.79/120.95	 H(b,y:S) -> F(y:S,y:S)
120.79/120.95	-> Rules:
120.79/120.95	 a(b) -> c
120.79/120.95	 f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	 g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	 h(b,y:S) -> f(y:S,y:S)
120.79/120.95	->Instantiated Pairs:
120.79/120.95	->->Original Pair:
120.79/120.95	 F(a(x:S),y:S) -> G(x:S,y:S)
120.79/120.95	->-> Instantiated pairs:
120.79/120.95	 F(a(x:S),a(x:S)) -> G(x:S,a(x:S))
120.79/120.95	
120.79/120.95	Problem 1: 
120.79/120.95	
120.79/120.95	SCC Processor:
120.79/120.95	-> Pairs:
120.79/120.95	 F(a(x:S),a(x:S)) -> G(x:S,a(x:S))
120.79/120.95	 G(x:S,y:S) -> H(x:S,y:S)
120.79/120.95	 H(b,y:S) -> F(y:S,y:S)
120.79/120.95	-> Rules:
120.79/120.95	 a(b) -> c
120.79/120.95	 f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	 g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	 h(b,y:S) -> f(y:S,y:S)
120.79/120.95	->Strongly Connected Components:
120.79/120.95	->->Cycle:
120.79/120.95	->->-> Pairs:
120.79/120.95	 F(a(x:S),a(x:S)) -> G(x:S,a(x:S))
120.79/120.95	 G(x:S,y:S) -> H(x:S,y:S)
120.79/120.95	 H(b,y:S) -> F(y:S,y:S)
120.79/120.95	->->-> Rules:
120.79/120.95	 a(b) -> c
120.79/120.95	 f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	 g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	 h(b,y:S) -> f(y:S,y:S)
120.79/120.95	
120.79/120.95	Problem 1: 
120.79/120.95	
120.79/120.95	Instantiation Processor:
120.79/120.95	-> Pairs:
120.79/120.95	 F(a(x:S),a(x:S)) -> G(x:S,a(x:S))
120.79/120.95	 G(x:S,y:S) -> H(x:S,y:S)
120.79/120.95	 H(b,y:S) -> F(y:S,y:S)
120.79/120.95	-> Rules:
120.79/120.95	 a(b) -> c
120.79/120.95	 f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	 g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	 h(b,y:S) -> f(y:S,y:S)
120.79/120.95	->Instantiated Pairs:
120.79/120.95	->->Original Pair:
120.79/120.95	 G(x:S,y:S) -> H(x:S,y:S)
120.79/120.95	->-> Instantiated pairs:
120.79/120.95	 G(x:S,a(x:S)) -> H(x:S,a(x:S))
120.79/120.95	
120.79/120.95	Problem 1: 
120.79/120.95	
120.79/120.95	SCC Processor:
120.79/120.95	-> Pairs:
120.79/120.95	 F(a(x:S),a(x:S)) -> G(x:S,a(x:S))
120.79/120.95	 G(x:S,a(x:S)) -> H(x:S,a(x:S))
120.79/120.95	 H(b,y:S) -> F(y:S,y:S)
120.79/120.95	-> Rules:
120.79/120.95	 a(b) -> c
120.79/120.95	 f(a(x:S),y:S) -> g(x:S,y:S)
120.79/120.95	 g(x:S,y:S) -> h(x:S,y:S)
120.79/120.95	 h(b,y:S) -> f(y:S,y:S)
120.79/120.95	->Strongly Connected Components:
120.79/120.95	 There is no strongly connected component
120.79/120.95	
120.79/120.95	The problem is finite.
120.79/120.95	EOF