0.00/0.04	YES
0.00/0.04	
0.00/0.04	Problem 1: 
0.00/0.04	
0.00/0.04	(VAR v_NonEmpty:S X:S X1:S X2:S Y:S)
0.00/0.04	(RULES
0.00/0.04	active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	g(active(X:S)) -> g(X:S)
0.00/0.04	g(mark(X:S)) -> g(X:S)
0.00/0.04	mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	) 
0.00/0.04	(STRATEGY INNERMOST)
0.00/0.04	
0.00/0.04	Problem 1: 
0.00/0.04	
0.00/0.04	Dependency Pairs Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 ACTIVE(f(g(X:S),Y:S)) -> F(X:S,f(g(X:S),Y:S))
0.00/0.04	 ACTIVE(f(g(X:S),Y:S)) -> MARK(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 F(active(X1:S),X2:S) -> F(X1:S,X2:S)
0.00/0.04	 F(mark(X1:S),X2:S) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,active(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,mark(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 G(active(X:S)) -> G(X:S)
0.00/0.04	 G(mark(X:S)) -> G(X:S)
0.00/0.04	 MARK(f(X1:S,X2:S)) -> ACTIVE(f(mark(X1:S),X2:S))
0.00/0.04	 MARK(f(X1:S,X2:S)) -> F(mark(X1:S),X2:S)
0.00/0.04	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.04	 MARK(g(X:S)) -> ACTIVE(g(mark(X:S)))
0.00/0.04	 MARK(g(X:S)) -> G(mark(X:S))
0.00/0.04	 MARK(g(X:S)) -> MARK(X:S)
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	
0.00/0.04	Problem 1: 
0.00/0.04	
0.00/0.04	SCC Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 ACTIVE(f(g(X:S),Y:S)) -> F(X:S,f(g(X:S),Y:S))
0.00/0.04	 ACTIVE(f(g(X:S),Y:S)) -> MARK(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 F(active(X1:S),X2:S) -> F(X1:S,X2:S)
0.00/0.04	 F(mark(X1:S),X2:S) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,active(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,mark(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 G(active(X:S)) -> G(X:S)
0.00/0.04	 G(mark(X:S)) -> G(X:S)
0.00/0.04	 MARK(f(X1:S,X2:S)) -> ACTIVE(f(mark(X1:S),X2:S))
0.00/0.04	 MARK(f(X1:S,X2:S)) -> F(mark(X1:S),X2:S)
0.00/0.04	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.04	 MARK(g(X:S)) -> ACTIVE(g(mark(X:S)))
0.00/0.04	 MARK(g(X:S)) -> G(mark(X:S))
0.00/0.04	 MARK(g(X:S)) -> MARK(X:S)
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->Strongly Connected Components:
0.00/0.04	->->Cycle:
0.00/0.04	->->-> Pairs:
0.00/0.04	 G(active(X:S)) -> G(X:S)
0.00/0.04	 G(mark(X:S)) -> G(X:S)
0.00/0.04	->->-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->->Cycle:
0.00/0.04	->->-> Pairs:
0.00/0.04	 F(active(X1:S),X2:S) -> F(X1:S,X2:S)
0.00/0.04	 F(mark(X1:S),X2:S) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,active(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,mark(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	->->-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->->Cycle:
0.00/0.04	->->-> Pairs:
0.00/0.04	 ACTIVE(f(g(X:S),Y:S)) -> MARK(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 MARK(f(X1:S,X2:S)) -> ACTIVE(f(mark(X1:S),X2:S))
0.00/0.04	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.04	 MARK(g(X:S)) -> ACTIVE(g(mark(X:S)))
0.00/0.04	 MARK(g(X:S)) -> MARK(X:S)
0.00/0.04	->->-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	
0.00/0.04	
0.00/0.04	The problem is decomposed in 3 subproblems.
0.00/0.04	
0.00/0.04	Problem 1.1: 
0.00/0.04	
0.00/0.04	Subterm Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 G(active(X:S)) -> G(X:S)
0.00/0.04	 G(mark(X:S)) -> G(X:S)
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->Projection:
0.00/0.04	 pi(G) = 1
0.00/0.04	
0.00/0.04	Problem 1.1: 
0.00/0.04	
0.00/0.04	SCC Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 Empty
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->Strongly Connected Components:
0.00/0.04	 There is no strongly connected component
0.00/0.04	
0.00/0.04	The problem is finite.
0.00/0.04	
0.00/0.04	Problem 1.2: 
0.00/0.04	
0.00/0.04	Subterm Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 F(active(X1:S),X2:S) -> F(X1:S,X2:S)
0.00/0.04	 F(mark(X1:S),X2:S) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,active(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,mark(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->Projection:
0.00/0.04	 pi(F) = 1
0.00/0.04	
0.00/0.04	Problem 1.2: 
0.00/0.04	
0.00/0.04	SCC Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 F(X1:S,active(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,mark(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->Strongly Connected Components:
0.00/0.04	->->Cycle:
0.00/0.04	->->-> Pairs:
0.00/0.04	 F(X1:S,active(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,mark(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	->->-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	
0.00/0.04	Problem 1.2: 
0.00/0.04	
0.00/0.04	Subterm Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 F(X1:S,active(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	 F(X1:S,mark(X2:S)) -> F(X1:S,X2:S)
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->Projection:
0.00/0.04	 pi(F) = 2
0.00/0.04	
0.00/0.04	Problem 1.2: 
0.00/0.04	
0.00/0.04	SCC Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 Empty
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	->Strongly Connected Components:
0.00/0.04	 There is no strongly connected component
0.00/0.04	
0.00/0.04	The problem is finite.
0.00/0.04	
0.00/0.04	Problem 1.3: 
0.00/0.04	
0.00/0.04	Reduction Pairs Processor:
0.00/0.04	-> Pairs:
0.00/0.04	 ACTIVE(f(g(X:S),Y:S)) -> MARK(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 MARK(f(X1:S,X2:S)) -> ACTIVE(f(mark(X1:S),X2:S))
0.00/0.04	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.04	 MARK(g(X:S)) -> ACTIVE(g(mark(X:S)))
0.00/0.04	 MARK(g(X:S)) -> MARK(X:S)
0.00/0.04	-> Rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.04	 g(active(X:S)) -> g(X:S)
0.00/0.04	 g(mark(X:S)) -> g(X:S)
0.00/0.04	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.04	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.04	-> Usable rules:
0.00/0.04	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.04	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.04	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 g(active(X:S)) -> g(X:S)
0.00/0.14	 g(mark(X:S)) -> g(X:S)
0.00/0.14	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.14	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.14	->Interpretation type:
0.00/0.14	 Linear
0.00/0.14	->Coefficients:
0.00/0.14	 Natural Numbers
0.00/0.14	->Dimension:
0.00/0.14	 1
0.00/0.14	->Bound:
0.00/0.14	 2
0.00/0.14	->Interpretation:
0.00/0.14	 
0.00/0.14	[active](X) = X + 1
0.00/0.14	[f](X1,X2) = 2.X1 + 2
0.00/0.14	[g](X) = 2.X + 2
0.00/0.14	[mark](X) = 2.X
0.00/0.14	[fSNonEmpty] = 0
0.00/0.14	[ACTIVE](X) = X + 1
0.00/0.14	[F](X1,X2) = 0
0.00/0.14	[G](X) = 0
0.00/0.14	[MARK](X) = 2.X + 2
0.00/0.14	
0.00/0.14	Problem 1.3: 
0.00/0.14	
0.00/0.14	SCC Processor:
0.00/0.14	-> Pairs:
0.00/0.14	 MARK(f(X1:S,X2:S)) -> ACTIVE(f(mark(X1:S),X2:S))
0.00/0.14	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.14	 MARK(g(X:S)) -> ACTIVE(g(mark(X:S)))
0.00/0.14	 MARK(g(X:S)) -> MARK(X:S)
0.00/0.14	-> Rules:
0.00/0.14	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.14	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.14	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 g(active(X:S)) -> g(X:S)
0.00/0.14	 g(mark(X:S)) -> g(X:S)
0.00/0.14	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.14	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.14	->Strongly Connected Components:
0.00/0.14	->->Cycle:
0.00/0.14	->->-> Pairs:
0.00/0.14	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.14	 MARK(g(X:S)) -> MARK(X:S)
0.00/0.14	->->-> Rules:
0.00/0.14	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.14	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.14	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 g(active(X:S)) -> g(X:S)
0.00/0.14	 g(mark(X:S)) -> g(X:S)
0.00/0.14	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.14	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.14	
0.00/0.14	Problem 1.3: 
0.00/0.14	
0.00/0.14	Subterm Processor:
0.00/0.14	-> Pairs:
0.00/0.14	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.14	 MARK(g(X:S)) -> MARK(X:S)
0.00/0.14	-> Rules:
0.00/0.14	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.14	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.14	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 g(active(X:S)) -> g(X:S)
0.00/0.14	 g(mark(X:S)) -> g(X:S)
0.00/0.14	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.14	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.14	->Projection:
0.00/0.14	 pi(MARK) = 1
0.00/0.14	
0.00/0.14	Problem 1.3: 
0.00/0.14	
0.00/0.14	SCC Processor:
0.00/0.14	-> Pairs:
0.00/0.14	 Empty
0.00/0.14	-> Rules:
0.00/0.14	 active(f(g(X:S),Y:S)) -> mark(f(X:S,f(g(X:S),Y:S)))
0.00/0.14	 f(active(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.14	 f(mark(X1:S),X2:S) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,active(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 f(X1:S,mark(X2:S)) -> f(X1:S,X2:S)
0.00/0.14	 g(active(X:S)) -> g(X:S)
0.00/0.14	 g(mark(X:S)) -> g(X:S)
0.00/0.14	 mark(f(X1:S,X2:S)) -> active(f(mark(X1:S),X2:S))
0.00/0.14	 mark(g(X:S)) -> active(g(mark(X:S)))
0.00/0.14	->Strongly Connected Components:
0.00/0.14	 There is no strongly connected component
0.00/0.14	
0.00/0.14	The problem is finite.
0.00/0.14	EOF