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 y:S z:S)
0.00/0.01	(RULES
0.00/0.01	quot(0,s(y:S),s(z:S)) -> 0
0.00/0.01	quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S)
0.00/0.01	quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z: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	 QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S)
0.00/0.01	 QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S))
0.00/0.01	-> Rules:
0.00/0.01	 quot(0,s(y:S),s(z:S)) -> 0
0.00/0.01	 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S)
0.00/0.01	 quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z: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	 QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S)
0.00/0.01	 QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S))
0.00/0.01	-> Rules:
0.00/0.01	 quot(0,s(y:S),s(z:S)) -> 0
0.00/0.01	 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S)
0.00/0.01	 quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S)))
0.00/0.01	->Strongly Connected Components:
0.00/0.01	->->Cycle:
0.00/0.01	->->-> Pairs:
0.00/0.01	 QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S)
0.00/0.01	 QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S))
0.00/0.01	->->-> Rules:
0.00/0.01	 quot(0,s(y:S),s(z:S)) -> 0
0.00/0.01	 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S)
0.00/0.01	 quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z: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	 QUOT(s(x:S),s(y:S),z:S) -> QUOT(x:S,y:S,z:S)
0.00/0.01	 QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S))
0.00/0.01	-> Rules:
0.00/0.01	 quot(0,s(y:S),s(z:S)) -> 0
0.00/0.01	 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S)
0.00/0.01	 quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z:S)))
0.00/0.01	->Projection:
0.00/0.01	 pi(QUOT) = 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	 QUOT(x:S,0,s(z:S)) -> QUOT(x:S,s(z:S),s(z:S))
0.00/0.01	-> Rules:
0.00/0.01	 quot(0,s(y:S),s(z:S)) -> 0
0.00/0.01	 quot(s(x:S),s(y:S),z:S) -> quot(x:S,y:S,z:S)
0.00/0.01	 quot(x:S,0,s(z:S)) -> s(quot(x:S,s(z:S),s(z: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