0.59/0.66	YES
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	(VAR v_NonEmpty:S x1:S)
0.59/0.66	(RULES
0.59/0.66	a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	)
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	Dependency Pairs Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> A(x1:S)
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 A(a(b(x1:S))) -> B(c(a(x1:S)))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	SCC Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> A(x1:S)
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 A(a(b(x1:S))) -> B(c(a(x1:S)))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Strongly Connected Components:
0.59/0.66	->->Cycle:
0.59/0.66	->->-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> A(x1:S)
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 A(a(b(x1:S))) -> B(c(a(x1:S)))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	->->-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	Reduction Pair Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> A(x1:S)
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 A(a(b(x1:S))) -> B(c(a(x1:S)))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	-> Usable rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Interpretation type:
0.59/0.66	 Linear
0.59/0.66	->Coefficients:
0.59/0.66	 Natural Numbers
0.59/0.66	->Dimension:
0.59/0.66	 1
0.59/0.66	->Bound:
0.59/0.66	 2
0.59/0.66	->Interpretation:
0.59/0.66	 
0.59/0.66	[a](X) = 2.X + 1
0.59/0.66	[b](X) = X
0.59/0.66	[c](X) = X
0.59/0.66	[A](X) = 2.X + 2
0.59/0.66	[B](X) = X + 1
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	SCC Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 A(a(b(x1:S))) -> B(c(a(x1:S)))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Strongly Connected Components:
0.59/0.66	->->Cycle:
0.59/0.66	->->-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 A(a(b(x1:S))) -> B(c(a(x1:S)))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	->->-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	Reduction Pair Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 A(a(b(x1:S))) -> B(c(a(x1:S)))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	-> Usable rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Interpretation type:
0.59/0.66	 Linear
0.59/0.66	->Coefficients:
0.59/0.66	 Natural Numbers
0.59/0.66	->Dimension:
0.59/0.66	 1
0.59/0.66	->Bound:
0.59/0.66	 2
0.59/0.66	->Interpretation:
0.59/0.66	 
0.59/0.66	[a](X) = 2.X + 2
0.59/0.66	[b](X) = X
0.59/0.66	[c](X) = X
0.59/0.66	[A](X) = 2.X + 2
0.59/0.66	[B](X) = X
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	SCC Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Strongly Connected Components:
0.59/0.66	->->Cycle:
0.59/0.66	->->-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	->->-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	Reduction Pair Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(b(x1:S))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	-> Usable rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Interpretation type:
0.59/0.66	 Linear
0.59/0.66	->Coefficients:
0.59/0.66	 Natural Numbers
0.59/0.66	->Dimension:
0.59/0.66	 1
0.59/0.66	->Bound:
0.59/0.66	 2
0.59/0.66	->Interpretation:
0.59/0.66	 
0.59/0.66	[a](X) = 2.X + 2
0.59/0.66	[b](X) = X
0.59/0.66	[c](X) = X
0.59/0.66	[A](X) = 2.X + 2
0.59/0.66	[B](X) = X
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	SCC Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Strongly Connected Components:
0.59/0.66	->->Cycle:
0.59/0.66	->->-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	->->-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	Reduction Pair Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(a(x1:S)) -> B(x1:S)
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	-> Usable rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Interpretation type:
0.59/0.66	 Linear
0.59/0.66	->Coefficients:
0.59/0.66	 Natural Numbers
0.59/0.66	->Dimension:
0.59/0.66	 1
0.59/0.66	->Bound:
0.59/0.66	 2
0.59/0.66	->Interpretation:
0.59/0.66	 
0.59/0.66	[a](X) = 2.X + 2
0.59/0.66	[b](X) = X
0.59/0.66	[c](X) = X
0.59/0.66	[A](X) = 2.X + 2
0.59/0.66	[B](X) = X
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	SCC Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Strongly Connected Components:
0.59/0.66	->->Cycle:
0.59/0.66	->->-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	->->-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	Reduction Pair Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	 B(c(a(x1:S))) -> B(x1:S)
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	-> Usable rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Interpretation type:
0.59/0.66	 Linear
0.59/0.66	->Coefficients:
0.59/0.66	 Natural Numbers
0.59/0.66	->Dimension:
0.59/0.66	 1
0.59/0.66	->Bound:
0.59/0.66	 2
0.59/0.66	->Interpretation:
0.59/0.66	 
0.59/0.66	[a](X) = 2.X + 2
0.59/0.66	[b](X) = X
0.59/0.66	[c](X) = X
0.59/0.66	[A](X) = 2.X + 2
0.59/0.66	[B](X) = X
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	SCC Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Strongly Connected Components:
0.59/0.66	->->Cycle:
0.59/0.66	->->-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	->->-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	Reduction Pair Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	 B(c(a(x1:S))) -> A(b(x1:S))
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	-> Usable rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Interpretation type:
0.59/0.66	 Linear
0.59/0.66	->Coefficients:
0.59/0.66	 Natural Numbers
0.59/0.66	->Dimension:
0.59/0.66	 1
0.59/0.66	->Bound:
0.59/0.66	 2
0.59/0.66	->Interpretation:
0.59/0.66	 
0.59/0.66	[a](X) = 0
0.59/0.66	[b](X) = 2.X
0.59/0.66	[c](X) = 1
0.59/0.66	[A](X) = 2
0.59/0.66	[B](X) = 2.X + 2
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	SCC Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Strongly Connected Components:
0.59/0.66	->->Cycle:
0.59/0.66	->->-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	->->-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	Reduction Pair Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> A(b(c(a(x1:S))))
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	-> Usable rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Interpretation type:
0.59/0.66	 Linear
0.59/0.66	->Coefficients:
0.59/0.66	 Natural Numbers
0.59/0.66	->Dimension:
0.59/0.66	 1
0.59/0.66	->Bound:
0.59/0.66	 2
0.59/0.66	->Interpretation:
0.59/0.66	 
0.59/0.66	[a](X) = 2.X + 2
0.59/0.66	[b](X) = X
0.59/0.66	[c](X) = 1
0.59/0.66	[A](X) = 2.X + 2
0.59/0.66	[B](X) = X + 2
0.59/0.66	
0.59/0.66	Problem 1: 
0.59/0.66	
0.59/0.66	SCC Processor:
0.59/0.66	-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.66	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.66	->Strongly Connected Components:
0.59/0.66	->->Cycle:
0.59/0.66	->->-> Pairs:
0.59/0.66	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.66	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.66	->->-> Rules:
0.59/0.66	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.66	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.67	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.67	
0.59/0.67	Problem 1: 
0.59/0.67	
0.59/0.67	Reduction Pair Processor:
0.59/0.67	-> Pairs:
0.59/0.67	 A(a(b(x1:S))) -> B(a(b(c(a(x1:S)))))
0.59/0.67	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.67	-> Rules:
0.59/0.67	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.67	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.67	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.67	-> Usable rules:
0.59/0.67	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.67	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.67	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.67	->Interpretation type:
0.59/0.67	 Linear
0.59/0.67	->Coefficients:
0.59/0.67	 Natural Numbers
0.59/0.67	->Dimension:
0.59/0.67	 1
0.59/0.67	->Bound:
0.59/0.67	 2
0.59/0.67	->Interpretation:
0.59/0.67	 
0.59/0.67	[a](X) = X + 1
0.59/0.67	[b](X) = X
0.59/0.67	[c](X) = 0
0.59/0.67	[A](X) = 2.X + 2
0.59/0.67	[B](X) = 2.X + 1
0.59/0.67	
0.59/0.67	Problem 1: 
0.59/0.67	
0.59/0.67	SCC Processor:
0.59/0.67	-> Pairs:
0.59/0.67	 B(a(x1:S)) -> A(b(b(x1:S)))
0.59/0.67	-> Rules:
0.59/0.67	 a(a(b(x1:S))) -> b(a(b(c(a(x1:S)))))
0.59/0.67	 b(a(x1:S)) -> a(b(b(x1:S)))
0.59/0.67	 b(c(a(x1:S))) -> c(a(b(x1:S)))
0.59/0.67	->Strongly Connected Components:
0.59/0.67	 There is no strongly connected component
0.59/0.67	
0.59/0.67	The problem is finite.
0.59/0.67	EOF