0.00/0.01	YES
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	(VAR v_NonEmpty:S X:S X1:S X2:S)
0.00/0.01	(RULES
0.00/0.01	a__b -> a
0.00/0.01	a__b -> b
0.00/0.01	a__f(X:S,X:S) -> a__f(a,b)
0.00/0.01	a__f(X1:S,X2:S) -> f(X1:S,X2:S)
0.00/0.01	mark(a) -> a
0.00/0.01	mark(b) -> a__b
0.00/0.01	mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S)
0.00/0.01	) 
0.00/0.01	(STRATEGY INNERMOST)
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	Dependency Pairs Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 A__F(X:S,X:S) -> A__F(a,b)
0.00/0.01	 MARK(b) -> A__B
0.00/0.01	 MARK(f(X1:S,X2:S)) -> A__F(mark(X1:S),X2:S)
0.00/0.01	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.01	-> Rules:
0.00/0.01	 a__b -> a
0.00/0.01	 a__b -> b
0.00/0.01	 a__f(X:S,X:S) -> a__f(a,b)
0.00/0.01	 a__f(X1:S,X2:S) -> f(X1:S,X2:S)
0.00/0.01	 mark(a) -> a
0.00/0.01	 mark(b) -> a__b
0.00/0.01	 mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S)
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	SCC Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 A__F(X:S,X:S) -> A__F(a,b)
0.00/0.01	 MARK(b) -> A__B
0.00/0.01	 MARK(f(X1:S,X2:S)) -> A__F(mark(X1:S),X2:S)
0.00/0.01	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.01	-> Rules:
0.00/0.01	 a__b -> a
0.00/0.01	 a__b -> b
0.00/0.01	 a__f(X:S,X:S) -> a__f(a,b)
0.00/0.01	 a__f(X1:S,X2:S) -> f(X1:S,X2:S)
0.00/0.01	 mark(a) -> a
0.00/0.01	 mark(b) -> a__b
0.00/0.01	 mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S)
0.00/0.01	->Strongly Connected Components:
0.00/0.01	->->Cycle:
0.00/0.01	->->-> Pairs:
0.00/0.01	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.01	->->-> Rules:
0.00/0.01	 a__b -> a
0.00/0.01	 a__b -> b
0.00/0.01	 a__f(X:S,X:S) -> a__f(a,b)
0.00/0.01	 a__f(X1:S,X2:S) -> f(X1:S,X2:S)
0.00/0.01	 mark(a) -> a
0.00/0.01	 mark(b) -> a__b
0.00/0.01	 mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S)
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	Subterm Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 MARK(f(X1:S,X2:S)) -> MARK(X1:S)
0.00/0.01	-> Rules:
0.00/0.01	 a__b -> a
0.00/0.01	 a__b -> b
0.00/0.01	 a__f(X:S,X:S) -> a__f(a,b)
0.00/0.01	 a__f(X1:S,X2:S) -> f(X1:S,X2:S)
0.00/0.01	 mark(a) -> a
0.00/0.01	 mark(b) -> a__b
0.00/0.01	 mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S)
0.00/0.01	->Projection:
0.00/0.01	 pi(MARK) = 1
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	
0.00/0.01	SCC Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 Empty
0.00/0.01	-> Rules:
0.00/0.01	 a__b -> a
0.00/0.01	 a__b -> b
0.00/0.01	 a__f(X:S,X:S) -> a__f(a,b)
0.00/0.01	 a__f(X1:S,X2:S) -> f(X1:S,X2:S)
0.00/0.01	 mark(a) -> a
0.00/0.01	 mark(b) -> a__b
0.00/0.01	 mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S)
0.00/0.01	->Strongly Connected Components:
0.00/0.01	 There is no strongly connected component
0.00/0.01	
0.00/0.01	The problem is finite.
0.00/0.01	EOF