0.00/0.13	YES
0.00/0.13	
0.00/0.13	Problem 1: 
0.00/0.13	
0.00/0.13	(VAR v_NonEmpty:S x1:S)
0.00/0.13	(RULES
0.00/0.13	a(b(x1:S)) -> x1:S
0.00/0.13	a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	b(c(x1:S)) -> x1:S
0.00/0.13	)
0.00/0.13	
0.00/0.13	Problem 1: 
0.00/0.13	
0.00/0.13	Dependency Pairs Processor:
0.00/0.13	-> Pairs:
0.00/0.13	 A(c(x1:S)) -> A(a(x1:S))
0.00/0.13	 A(c(x1:S)) -> A(x1:S)
0.00/0.13	 A(c(x1:S)) -> B(b(c(a(a(x1:S)))))
0.00/0.13	 A(c(x1:S)) -> B(c(a(a(x1:S))))
0.00/0.13	-> Rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	
0.00/0.13	Problem 1: 
0.00/0.13	
0.00/0.13	SCC Processor:
0.00/0.13	-> Pairs:
0.00/0.13	 A(c(x1:S)) -> A(a(x1:S))
0.00/0.13	 A(c(x1:S)) -> A(x1:S)
0.00/0.13	 A(c(x1:S)) -> B(b(c(a(a(x1:S)))))
0.00/0.13	 A(c(x1:S)) -> B(c(a(a(x1:S))))
0.00/0.13	-> Rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	->Strongly Connected Components:
0.00/0.13	->->Cycle:
0.00/0.13	->->-> Pairs:
0.00/0.13	 A(c(x1:S)) -> A(a(x1:S))
0.00/0.13	 A(c(x1:S)) -> A(x1:S)
0.00/0.13	->->-> Rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	
0.00/0.13	Problem 1: 
0.00/0.13	
0.00/0.13	Reduction Pair Processor:
0.00/0.13	-> Pairs:
0.00/0.13	 A(c(x1:S)) -> A(a(x1:S))
0.00/0.13	 A(c(x1:S)) -> A(x1:S)
0.00/0.13	-> Rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	-> Usable rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	->Interpretation type:
0.00/0.13	 Linear
0.00/0.13	->Coefficients:
0.00/0.13	 All rationals
0.00/0.13	->Dimension:
0.00/0.13	 1
0.00/0.13	->Bound:
0.00/0.13	 2
0.00/0.13	->Interpretation:
0.00/0.13	 
0.00/0.13	[a](X) = 2.X + 1/2
0.00/0.13	[b](X) = 1/2.X
0.00/0.13	[c](X) = 2.X + 2
0.00/0.13	[A](X) = 2.X
0.00/0.13	
0.00/0.13	Problem 1: 
0.00/0.13	
0.00/0.13	SCC Processor:
0.00/0.13	-> Pairs:
0.00/0.13	 A(c(x1:S)) -> A(x1:S)
0.00/0.13	-> Rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	->Strongly Connected Components:
0.00/0.13	->->Cycle:
0.00/0.13	->->-> Pairs:
0.00/0.13	 A(c(x1:S)) -> A(x1:S)
0.00/0.13	->->-> Rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	
0.00/0.13	Problem 1: 
0.00/0.13	
0.00/0.13	Subterm Processor:
0.00/0.13	-> Pairs:
0.00/0.13	 A(c(x1:S)) -> A(x1:S)
0.00/0.13	-> Rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	->Projection:
0.00/0.13	 pi(A) = 1
0.00/0.13	
0.00/0.13	Problem 1: 
0.00/0.13	
0.00/0.13	SCC Processor:
0.00/0.13	-> Pairs:
0.00/0.13	 Empty
0.00/0.13	-> Rules:
0.00/0.13	 a(b(x1:S)) -> x1:S
0.00/0.13	 a(c(x1:S)) -> c(b(b(c(a(a(x1:S))))))
0.00/0.13	 b(c(x1:S)) -> x1:S
0.00/0.13	->Strongly Connected Components:
0.00/0.13	 There is no strongly connected component
0.00/0.13	
0.00/0.13	The problem is finite.
0.00/0.14	EOF