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 xs:S y:S ys:S)
0.00/0.01	(RULES
0.00/0.01	isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	isnoc(cons(y:S,nil)) -> tp2(nil,y:S)
0.00/0.01	)
0.00/0.01	
0.00/0.01	Problem 1: 
0.00/0.01	Valid CTRS Processor:
0.00/0.01	-> Rules:
0.00/0.01	 isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	 isnoc(cons(y:S,nil)) -> tp2(nil,y:S)
0.00/0.01	-> The system is a deterministic 3-CTRS.
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	
0.00/0.01	Conditional Termination Problem 1:
0.00/0.01	-> Pairs:
0.00/0.01	 Empty
0.00/0.01	-> QPairs:
0.00/0.01	 Empty
0.00/0.01	-> Rules:
0.00/0.01	 isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	 isnoc(cons(y:S,nil)) -> tp2(nil,y:S)
0.00/0.01	
0.00/0.01	Conditional Termination Problem 2:
0.00/0.01	-> Pairs:
0.00/0.01	 ISNOC(cons(x:S,ys:S)) -> ISNOC(ys:S)
0.00/0.01	-> QPairs:
0.00/0.01	 Empty
0.00/0.01	-> Rules:
0.00/0.01	 isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	 isnoc(cons(y:S,nil)) -> tp2(nil,y:S)
0.00/0.01	
0.00/0.01	
0.00/0.01	The problem is decomposed in 2 subproblems.
0.00/0.01	
0.00/0.01	Problem 1.1: 
0.00/0.01	
0.00/0.01	SCC Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 Empty
0.00/0.01	-> QPairs:
0.00/0.01	 Empty
0.00/0.01	-> Rules:
0.00/0.01	 isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	 isnoc(cons(y:S,nil)) -> tp2(nil,y: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	
0.00/0.01	Problem 1.2: 
0.00/0.01	
0.00/0.01	SCC Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 ISNOC(cons(x:S,ys:S)) -> ISNOC(ys:S)
0.00/0.01	-> QPairs:
0.00/0.01	 Empty
0.00/0.01	-> Rules:
0.00/0.01	 isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	 isnoc(cons(y:S,nil)) -> tp2(nil,y:S)
0.00/0.01	->Strongly Connected Components:
0.00/0.01	->->Cycle:
0.00/0.01	->->-> Pairs:
0.00/0.01	 ISNOC(cons(x:S,ys:S)) -> ISNOC(ys:S)
0.00/0.01	-> QPairs:
0.00/0.01	 Empty
0.00/0.01	->->-> Rules:
0.00/0.01	 isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	 isnoc(cons(y:S,nil)) -> tp2(nil,y:S)
0.00/0.01	
0.00/0.01	Problem 1.2: 
0.00/0.01	
0.00/0.01	Conditional Subterm Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 ISNOC(cons(x:S,ys:S)) -> ISNOC(ys:S)
0.00/0.01	-> QPairs:
0.00/0.01	 Empty
0.00/0.01	-> Rules:
0.00/0.01	 isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	 isnoc(cons(y:S,nil)) -> tp2(nil,y:S)
0.00/0.01	->Projection:
0.00/0.01	 pi(ISNOC) = 1
0.00/0.01	
0.00/0.01	Problem 1.2: 
0.00/0.01	
0.00/0.01	SCC Processor:
0.00/0.01	-> Pairs:
0.00/0.01	 Empty
0.00/0.01	-> QPairs:
0.00/0.01	 Empty
0.00/0.01	-> Rules:
0.00/0.01	 isnoc(cons(x:S,ys:S)) -> tp2(cons(x:S,xs:S),y:S) | isnoc(ys:S) ->* tp2(xs:S,y:S)
0.00/0.01	 isnoc(cons(y:S,nil)) -> tp2(nil,y: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