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)
0.00/0.01	(RULES
0.00/0.01	a__c(X:S) -> c(X:S)
0.00/0.01	a__c(X:S) -> d(X:S)
0.00/0.01	a__f(f(X:S)) -> a__c(f(g(f(X:S))))
0.00/0.01	a__f(X:S) -> f(X:S)
0.00/0.01	a__h(X:S) -> a__c(d(X:S))
0.00/0.01	a__h(X:S) -> h(X:S)
0.00/0.01	mark(c(X:S)) -> a__c(X:S)
0.00/0.01	mark(d(X:S)) -> d(X:S)
0.00/0.01	mark(f(X:S)) -> a__f(mark(X:S))
0.00/0.01	mark(g(X:S)) -> g(X:S)
0.00/0.01	mark(h(X:S)) -> a__h(mark(X: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(f(X:S)) -> A__C(f(g(f(X:S))))
0.00/0.01	 A__H(X:S) -> A__C(d(X:S))
0.00/0.01	 MARK(c(X:S)) -> A__C(X:S)
0.00/0.01	 MARK(f(X:S)) -> A__F(mark(X:S))
0.00/0.01	 MARK(f(X:S)) -> MARK(X:S)
0.00/0.01	 MARK(h(X:S)) -> A__H(mark(X:S))
0.00/0.01	 MARK(h(X:S)) -> MARK(X:S)
0.00/0.01	-> Rules:
0.00/0.01	 a__c(X:S) -> c(X:S)
0.00/0.01	 a__c(X:S) -> d(X:S)
0.00/0.01	 a__f(f(X:S)) -> a__c(f(g(f(X:S))))
0.00/0.01	 a__f(X:S) -> f(X:S)
0.00/0.01	 a__h(X:S) -> a__c(d(X:S))
0.00/0.01	 a__h(X:S) -> h(X:S)
0.00/0.01	 mark(c(X:S)) -> a__c(X:S)
0.00/0.01	 mark(d(X:S)) -> d(X:S)
0.00/0.01	 mark(f(X:S)) -> a__f(mark(X:S))
0.00/0.01	 mark(g(X:S)) -> g(X:S)
0.00/0.01	 mark(h(X:S)) -> a__h(mark(X: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(f(X:S)) -> A__C(f(g(f(X:S))))
0.00/0.01	 A__H(X:S) -> A__C(d(X:S))
0.00/0.01	 MARK(c(X:S)) -> A__C(X:S)
0.00/0.01	 MARK(f(X:S)) -> A__F(mark(X:S))
0.00/0.01	 MARK(f(X:S)) -> MARK(X:S)
0.00/0.01	 MARK(h(X:S)) -> A__H(mark(X:S))
0.00/0.01	 MARK(h(X:S)) -> MARK(X:S)
0.00/0.01	-> Rules:
0.00/0.01	 a__c(X:S) -> c(X:S)
0.00/0.01	 a__c(X:S) -> d(X:S)
0.00/0.01	 a__f(f(X:S)) -> a__c(f(g(f(X:S))))
0.00/0.01	 a__f(X:S) -> f(X:S)
0.00/0.01	 a__h(X:S) -> a__c(d(X:S))
0.00/0.01	 a__h(X:S) -> h(X:S)
0.00/0.01	 mark(c(X:S)) -> a__c(X:S)
0.00/0.01	 mark(d(X:S)) -> d(X:S)
0.00/0.01	 mark(f(X:S)) -> a__f(mark(X:S))
0.00/0.01	 mark(g(X:S)) -> g(X:S)
0.00/0.01	 mark(h(X:S)) -> a__h(mark(X:S))
0.00/0.01	->Strongly Connected Components:
0.00/0.01	->->Cycle:
0.00/0.01	->->-> Pairs:
0.00/0.01	 MARK(f(X:S)) -> MARK(X:S)
0.00/0.01	 MARK(h(X:S)) -> MARK(X:S)
0.00/0.01	->->-> Rules:
0.00/0.01	 a__c(X:S) -> c(X:S)
0.00/0.01	 a__c(X:S) -> d(X:S)
0.00/0.01	 a__f(f(X:S)) -> a__c(f(g(f(X:S))))
0.00/0.01	 a__f(X:S) -> f(X:S)
0.00/0.01	 a__h(X:S) -> a__c(d(X:S))
0.00/0.01	 a__h(X:S) -> h(X:S)
0.00/0.01	 mark(c(X:S)) -> a__c(X:S)
0.00/0.01	 mark(d(X:S)) -> d(X:S)
0.00/0.01	 mark(f(X:S)) -> a__f(mark(X:S))
0.00/0.01	 mark(g(X:S)) -> g(X:S)
0.00/0.01	 mark(h(X:S)) -> a__h(mark(X: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(X:S)) -> MARK(X:S)
0.00/0.01	 MARK(h(X:S)) -> MARK(X:S)
0.00/0.01	-> Rules:
0.00/0.01	 a__c(X:S) -> c(X:S)
0.00/0.01	 a__c(X:S) -> d(X:S)
0.00/0.01	 a__f(f(X:S)) -> a__c(f(g(f(X:S))))
0.00/0.01	 a__f(X:S) -> f(X:S)
0.00/0.01	 a__h(X:S) -> a__c(d(X:S))
0.00/0.01	 a__h(X:S) -> h(X:S)
0.00/0.01	 mark(c(X:S)) -> a__c(X:S)
0.00/0.01	 mark(d(X:S)) -> d(X:S)
0.00/0.01	 mark(f(X:S)) -> a__f(mark(X:S))
0.00/0.01	 mark(g(X:S)) -> g(X:S)
0.00/0.01	 mark(h(X:S)) -> a__h(mark(X: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__c(X:S) -> c(X:S)
0.00/0.01	 a__c(X:S) -> d(X:S)
0.00/0.01	 a__f(f(X:S)) -> a__c(f(g(f(X:S))))
0.00/0.01	 a__f(X:S) -> f(X:S)
0.00/0.01	 a__h(X:S) -> a__c(d(X:S))
0.00/0.01	 a__h(X:S) -> h(X:S)
0.00/0.01	 mark(c(X:S)) -> a__c(X:S)
0.00/0.01	 mark(d(X:S)) -> d(X:S)
0.00/0.01	 mark(f(X:S)) -> a__f(mark(X:S))
0.00/0.01	 mark(g(X:S)) -> g(X:S)
0.00/0.01	 mark(h(X:S)) -> a__h(mark(X: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