0.00/0.03	YES
0.00/0.03	
0.00/0.03	Problem 1: 
0.00/0.03	
0.00/0.03	(VAR v_NonEmpty:S x1:S)
0.00/0.03	(RULES
0.00/0.03	a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	)
0.00/0.03	
0.00/0.03	Problem 1: 
0.00/0.03	
0.00/0.03	Dependency Pairs Processor:
0.00/0.03	-> Pairs:
0.00/0.03	 A(a(x1:S)) -> A(c(a(x1:S)))
0.00/0.03	 A(b(x1:S)) -> A(a(x1:S))
0.00/0.03	 A(b(x1:S)) -> A(x1:S)
0.00/0.03	 A(b(x1:S)) -> B(a(a(x1:S)))
0.00/0.03	-> Rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	
0.00/0.03	Problem 1: 
0.00/0.03	
0.00/0.03	SCC Processor:
0.00/0.03	-> Pairs:
0.00/0.03	 A(a(x1:S)) -> A(c(a(x1:S)))
0.00/0.03	 A(b(x1:S)) -> A(a(x1:S))
0.00/0.03	 A(b(x1:S)) -> A(x1:S)
0.00/0.03	 A(b(x1:S)) -> B(a(a(x1:S)))
0.00/0.03	-> Rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	->Strongly Connected Components:
0.00/0.03	->->Cycle:
0.00/0.03	->->-> Pairs:
0.00/0.03	 A(b(x1:S)) -> A(a(x1:S))
0.00/0.03	 A(b(x1:S)) -> A(x1:S)
0.00/0.03	->->-> Rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	
0.00/0.03	Problem 1: 
0.00/0.03	
0.00/0.03	Reduction Pair Processor:
0.00/0.03	-> Pairs:
0.00/0.03	 A(b(x1:S)) -> A(a(x1:S))
0.00/0.03	 A(b(x1:S)) -> A(x1:S)
0.00/0.03	-> Rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	-> Usable rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	->Interpretation type:
0.00/0.03	 Linear
0.00/0.03	->Coefficients:
0.00/0.03	 Natural Numbers
0.00/0.03	->Dimension:
0.00/0.03	 1
0.00/0.03	->Bound:
0.00/0.03	 2
0.00/0.03	->Interpretation:
0.00/0.03	 
0.00/0.03	[a](X) = X
0.00/0.03	[b](X) = 2.X + 1
0.00/0.03	[c](X) = X
0.00/0.03	[A](X) = X
0.00/0.03	
0.00/0.03	Problem 1: 
0.00/0.03	
0.00/0.03	SCC Processor:
0.00/0.03	-> Pairs:
0.00/0.03	 A(b(x1:S)) -> A(x1:S)
0.00/0.03	-> Rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	->Strongly Connected Components:
0.00/0.03	->->Cycle:
0.00/0.03	->->-> Pairs:
0.00/0.03	 A(b(x1:S)) -> A(x1:S)
0.00/0.03	->->-> Rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	
0.00/0.03	Problem 1: 
0.00/0.03	
0.00/0.03	Subterm Processor:
0.00/0.03	-> Pairs:
0.00/0.03	 A(b(x1:S)) -> A(x1:S)
0.00/0.03	-> Rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	->Projection:
0.00/0.03	 pi(A) = 1
0.00/0.03	
0.00/0.03	Problem 1: 
0.00/0.03	
0.00/0.03	SCC Processor:
0.00/0.03	-> Pairs:
0.00/0.03	 Empty
0.00/0.03	-> Rules:
0.00/0.03	 a(a(x1:S)) -> a(c(a(x1:S)))
0.00/0.03	 a(b(x1:S)) -> b(a(a(x1:S)))
0.00/0.03	 b(x1:S) -> c(a(c(x1:S)))
0.00/0.03	->Strongly Connected Components:
0.00/0.03	 There is no strongly connected component
0.00/0.03	
0.00/0.03	The problem is finite.
0.00/0.03	EOF