0.00/0.36	YES
0.00/0.36	
0.00/0.36	Problem 1: 
0.00/0.36	
0.00/0.36	(VAR v_NonEmpty:S X:S)
0.00/0.36	(RULES
0.00/0.36	f(0) -> cons(0)
0.00/0.36	f(s(0)) -> f(p(s(0)))
0.00/0.36	p(s(X:S)) -> X:S
0.00/0.36	) 
0.00/0.36	(STRATEGY INNERMOST)
0.00/0.36	
0.00/0.36	Problem 1: 
0.00/0.36	
0.00/0.36	Dependency Pairs Processor:
0.00/0.36	-> Pairs:
0.00/0.36	 F(s(0)) -> F(p(s(0)))
0.00/0.36	 F(s(0)) -> P(s(0))
0.00/0.36	-> Rules:
0.00/0.36	 f(0) -> cons(0)
0.00/0.36	 f(s(0)) -> f(p(s(0)))
0.00/0.36	 p(s(X:S)) -> X:S
0.00/0.36	
0.00/0.36	Problem 1: 
0.00/0.36	
0.00/0.36	SCC Processor:
0.00/0.36	-> Pairs:
0.00/0.36	 F(s(0)) -> F(p(s(0)))
0.00/0.36	 F(s(0)) -> P(s(0))
0.00/0.36	-> Rules:
0.00/0.36	 f(0) -> cons(0)
0.00/0.36	 f(s(0)) -> f(p(s(0)))
0.00/0.36	 p(s(X:S)) -> X:S
0.00/0.36	->Strongly Connected Components:
0.00/0.36	->->Cycle:
0.00/0.36	->->-> Pairs:
0.00/0.36	 F(s(0)) -> F(p(s(0)))
0.00/0.36	->->-> Rules:
0.00/0.36	 f(0) -> cons(0)
0.00/0.36	 f(s(0)) -> f(p(s(0)))
0.00/0.36	 p(s(X:S)) -> X:S
0.00/0.36	
0.00/0.36	Problem 1: 
0.00/0.36	
0.00/0.36	Reduction Pairs Processor:
0.00/0.36	-> Pairs:
0.00/0.36	 F(s(0)) -> F(p(s(0)))
0.00/0.36	-> Rules:
0.00/0.36	 f(0) -> cons(0)
0.00/0.36	 f(s(0)) -> f(p(s(0)))
0.00/0.36	 p(s(X:S)) -> X:S
0.00/0.36	-> Usable rules:
0.00/0.36	 p(s(X:S)) -> X:S
0.00/0.36	->Interpretation type:
0.00/0.36	 Linear
0.00/0.36	->Coefficients:
0.00/0.36	 All rationals
0.00/0.36	->Dimension:
0.00/0.36	 1
0.00/0.36	->Bound:
0.00/0.36	 2
0.00/0.36	->Interpretation:
0.00/0.36	 
0.00/0.36	[f](X) = 0
0.00/0.36	[p](X) = 1/2.X + 1
0.00/0.36	[0] = 2
0.00/0.36	[cons](X) = 0
0.00/0.36	[fSNonEmpty] = 0
0.00/0.36	[s](X) = 2.X
0.00/0.36	[F](X) = 2.X
0.00/0.36	[P](X) = 0
0.00/0.36	
0.00/0.36	Problem 1: 
0.00/0.36	
0.00/0.36	SCC Processor:
0.00/0.36	-> Pairs:
0.00/0.36	 Empty
0.00/0.36	-> Rules:
0.00/0.36	 f(0) -> cons(0)
0.00/0.36	 f(s(0)) -> f(p(s(0)))
0.00/0.36	 p(s(X:S)) -> X:S
0.00/0.36	->Strongly Connected Components:
0.00/0.36	 There is no strongly connected component
0.00/0.36	
0.00/0.36	The problem is finite.
0.00/0.36	EOF