0.00/0.16	YES
0.00/0.16	
0.00/0.16	Problem 1: 
0.00/0.16	
0.00/0.16	(VAR v_NonEmpty:S x1:S)
0.00/0.16	(RULES
0.00/0.16	a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.16	b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.16	b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.16	c(a(x1:S)) -> a(c(x1:S))
0.00/0.16	c(b(x1:S)) -> b(a(x1:S))
0.00/0.16	)
0.00/0.16	
0.00/0.16	Problem 1: 
0.00/0.16	
0.00/0.16	Dependency Pairs Processor:
0.00/0.16	-> Pairs:
0.00/0.16	 A(c(b(x1:S))) -> A(x1:S)
0.00/0.16	 A(c(b(x1:S))) -> B(a(x1:S))
0.00/0.16	 A(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.16	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.16	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.16	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.16	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.16	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.16	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.16	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.16	 C(a(x1:S)) -> C(x1:S)
0.00/0.16	 C(b(x1:S)) -> A(x1:S)
0.00/0.16	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.16	-> Rules:
0.00/0.16	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.16	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.16	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.16	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.16	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.16	
0.00/0.16	Problem 1: 
0.00/0.16	
0.00/0.16	SCC Processor:
0.00/0.16	-> Pairs:
0.00/0.16	 A(c(b(x1:S))) -> A(x1:S)
0.00/0.16	 A(c(b(x1:S))) -> B(a(x1:S))
0.00/0.16	 A(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.16	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.16	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.16	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.16	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.16	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(c(b(x1:S))) -> A(x1:S)
0.00/0.17	 A(c(b(x1:S))) -> B(a(x1:S))
0.00/0.17	 A(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(c(b(x1:S))) -> A(x1:S)
0.00/0.17	 A(c(b(x1:S))) -> B(a(x1:S))
0.00/0.17	 A(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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.X + 2
0.00/0.17	[c](X) = 2.X + 2
0.00/0.17	[A](X) = 2.X
0.00/0.17	[B](X) = 2.X
0.00/0.17	[C](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	 A(c(b(x1:S))) -> B(a(x1:S))
0.00/0.17	 A(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(c(b(x1:S))) -> B(a(x1:S))
0.00/0.17	 A(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(c(b(x1:S))) -> B(a(x1:S))
0.00/0.17	 A(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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.X + 2
0.00/0.17	[c](X) = 2.X + 2
0.00/0.17	[A](X) = 2.X + 1
0.00/0.17	[B](X) = 2.X + 1
0.00/0.17	[C](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(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 A(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(c(b(x1:S))) -> C(b(a(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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 + 2
0.00/0.17	[c](X) = 2.X
0.00/0.17	[A](X) = 2.X + 2
0.00/0.17	[B](X) = 2.X + 2
0.00/0.17	[C](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	 B(a(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(a(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> A(b(c(x1:S)))
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> A(c(x1:S))
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> A(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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.X + 2
0.00/0.17	[c](X) = 2.X + 2
0.00/0.17	[B](X) = 2.X
0.00/0.17	[C](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	 B(a(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(a(x1:S))) -> C(x1:S)
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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.X + 2
0.00/0.17	[c](X) = 2.X + 2
0.00/0.17	[B](X) = X + 1
0.00/0.17	[C](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	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 B(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(c(a(x1:S))) -> B(c(x1:S))
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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	[c](X) = 2.X + 2
0.00/0.17	[B](X) = X
0.00/0.17	[C](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	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 B(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	->->-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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(c(a(x1:S))) -> C(x1:S)
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	-> Usable rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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.X + 2
0.00/0.17	[c](X) = 2.X + 2
0.00/0.17	[B](X) = 2.X + 1
0.00/0.17	[C](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	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	 C(b(x1:S)) -> B(a(x1:S))
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	->Strongly Connected Components:
0.00/0.17	->->Cycle:
0.00/0.17	->->-> Pairs:
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	->->-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	
0.00/0.17	Problem 1: 
0.00/0.17	
0.00/0.17	Subterm Processor:
0.00/0.17	-> Pairs:
0.00/0.17	 C(a(x1:S)) -> C(x1:S)
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(x1:S))
0.00/0.17	->Projection:
0.00/0.17	 pi(C) = 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	 Empty
0.00/0.17	-> Rules:
0.00/0.17	 a(c(b(x1:S))) -> c(b(a(x1:S)))
0.00/0.17	 b(a(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 b(c(a(x1:S))) -> a(b(c(x1:S)))
0.00/0.17	 c(a(x1:S)) -> a(c(x1:S))
0.00/0.17	 c(b(x1:S)) -> b(a(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.
0.00/0.17	EOF