0.00/0.17	YES
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	(VAR v_NonEmpty:S x1:S)
0.00/0.17	(RULES
0.00/0.17	a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	)
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Dependency Pairs Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> A(a(x1:S))
0.00/0.17	 A(a(b(a(x1:S)))) -> A(b(a(a(x1:S))))
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> A(a(x1:S))
0.00/0.17	 A(a(b(a(x1:S)))) -> A(b(a(a(x1:S))))
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> A(a(x1:S))
0.00/0.17	 A(a(b(a(x1:S)))) -> A(b(a(a(x1:S))))
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Reduction Pair Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> A(a(x1:S))
0.00/0.17	 A(a(b(a(x1:S)))) -> A(b(a(a(x1:S))))
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Interpretation type:
0.00/0.17	 Linear
0.00/0.17	->Coefficients:
0.00/0.17	 Natural Numbers
0.00/0.17	->Dimension:
0.00/0.17	 1
0.00/0.17	->Bound:
0.00/0.17	 2
0.00/0.17	->Interpretation:
0.00/0.17	 
0.00/0.17	[a](X) = X + 2
0.00/0.17	[b](X) = X + 1
0.00/0.17	[A](X) = X
0.00/0.17	[B](X) = X + 1
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> A(b(a(a(x1:S))))
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> A(b(a(a(x1:S))))
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Reduction Pair Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> A(b(a(a(x1:S))))
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Interpretation type:
0.00/0.17	 Linear
0.00/0.17	->Coefficients:
0.00/0.17	 Natural Numbers
0.00/0.17	->Dimension:
0.00/0.17	 1
0.00/0.17	->Bound:
0.00/0.17	 2
0.00/0.17	->Interpretation:
0.00/0.17	 
0.00/0.17	[a](X) = 2.X + 2
0.00/0.17	[b](X) = X + 2
0.00/0.17	[A](X) = 2.X + 2
0.00/0.17	[B](X) = 2.X + 2
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Reduction Pair Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(a(b(a(x1:S)))) -> B(a(a(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Interpretation type:
0.00/0.17	 Linear
0.00/0.17	->Coefficients:
0.00/0.17	 Natural Numbers
0.00/0.17	->Dimension:
0.00/0.17	 1
0.00/0.17	->Bound:
0.00/0.17	 2
0.00/0.17	->Interpretation:
0.00/0.17	 
0.00/0.17	[a](X) = 2
0.00/0.17	[b](X) = 1
0.00/0.17	[A](X) = 2.X
0.00/0.17	[B](X) = 2
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Reduction Pair Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> A(b(b(b(x1:S))))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Interpretation type:
0.00/0.17	 Linear
0.00/0.17	->Coefficients:
0.00/0.17	 Natural Numbers
0.00/0.17	->Dimension:
0.00/0.17	 1
0.00/0.17	->Bound:
0.00/0.17	 2
0.00/0.17	->Interpretation:
0.00/0.17	 
0.00/0.17	[a](X) = X + 2
0.00/0.17	[b](X) = X + 1
0.00/0.17	[A](X) = X + 2
0.00/0.17	[B](X) = X + 1
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Reduction Pair Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(b(x1:S)))
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Interpretation type:
0.00/0.17	 Linear
0.00/0.17	->Coefficients:
0.00/0.17	 Natural Numbers
0.00/0.17	->Dimension:
0.00/0.17	 1
0.00/0.17	->Bound:
0.00/0.17	 2
0.00/0.17	->Interpretation:
0.00/0.17	 
0.00/0.17	[a](X) = 2.X + 2
0.00/0.17	[b](X) = X
0.00/0.17	[A](X) = 2.X + 2
0.00/0.17	[B](X) = 2.X + 1
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Reduction Pair Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 A(b(a(b(x1:S)))) -> B(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Interpretation type:
0.00/0.17	 Linear
0.00/0.17	->Coefficients:
0.00/0.17	 Natural Numbers
0.00/0.17	->Dimension:
0.00/0.17	 1
0.00/0.17	->Bound:
0.00/0.17	 2
0.00/0.17	->Interpretation:
0.00/0.17	 
0.00/0.17	[a](X) = 2.X + 2
0.00/0.17	[b](X) = 1
0.00/0.17	[A](X) = 2
0.00/0.17	[B](X) = X
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 B(a(b(b(x1:S)))) -> A(b(x1:S))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Reduction Pair Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 B(a(b(b(x1:S)))) -> B(a(b(x1:S)))
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Interpretation type:
0.00/0.17	 Linear
0.00/0.17	->Coefficients:
0.00/0.17	 Natural Numbers
0.00/0.17	->Dimension:
0.00/0.17	 1
0.00/0.17	->Bound:
0.00/0.17	 2
0.00/0.17	->Interpretation:
0.00/0.17	 
0.00/0.17	[a](X) = 2.X + 1
0.00/0.17	[b](X) = 2.X + 1
0.00/0.17	[B](X) = 2.X
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Reduction Pair Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 B(a(b(b(x1:S)))) -> B(b(a(b(x1:S))))
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Interpretation type:
0.00/0.17	 Linear
0.00/0.17	->Coefficients:
0.00/0.17	 Natural Numbers
0.00/0.17	->Dimension:
0.00/0.17	 1
0.00/0.17	->Bound:
0.00/0.17	 2
0.00/0.17	->Interpretation:
0.00/0.17	 
0.00/0.17	[a](X) = 2.X + 2
0.00/0.17	[b](X) = 2
0.00/0.17	[B](X) = 2.X
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	SCC Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 Empty
0.00/0.17	-> Rules:
0.00/0.17	 a(a(b(a(x1:S)))) -> a(b(a(a(x1:S))))
0.00/0.17	 a(b(a(b(x1:S)))) -> a(b(b(b(x1:S))))
0.00/0.17	 b(a(b(b(x1:S)))) -> b(b(a(b(x1:S))))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	 There is no strongly connected component
0.00/0.17	
0.00/0.17	The problem is finite.
0.00/0.18	EOF