2.73/1.28	NO
2.73/1.29	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.73/1.29	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.73/1.29	
2.73/1.29	
2.73/1.29	Outermost Termination of the given OTRS could be disproven:
2.73/1.29	
2.73/1.29	(0) OTRS
2.73/1.29	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.73/1.29	(2) NO
2.73/1.29	
2.73/1.29	
2.73/1.29	----------------------------------------
2.73/1.29	
2.73/1.29	(0)
2.73/1.29	Obligation:
2.73/1.29	Term rewrite system R:
2.73/1.29	The TRS R consists of the following rules:
2.73/1.29	
2.73/1.29	   U11(tt) -> s(length(L))
2.73/1.29	   and(tt) -> X
2.73/1.29	   zeros -> cons(0)
2.73/1.29	   isNat -> tt
2.73/1.29	   isNat -> isNatList
2.73/1.29	   isNat -> isNat
2.73/1.29	   isNatIList -> isNatList
2.73/1.29	   isNatIList -> tt
2.73/1.29	   isNatIList -> and(isNat)
2.73/1.29	   isNatList -> tt
2.73/1.29	   isNatList -> and(isNat)
2.73/1.29	   length(nil) -> 0
2.73/1.29	   length(cons(N)) -> U11(and(isNatList))
2.73/1.29	
2.73/1.29	
2.73/1.29	
2.73/1.29	Outermost Strategy.
2.73/1.29	
2.73/1.29	----------------------------------------
2.73/1.29	
2.73/1.29	(1) OutermostNonTerminationProof (COMPLETE)
2.73/1.29	Term rewrite system R:
2.73/1.29	The TRS R consists of the following rules:
2.73/1.29	
2.73/1.29	   U11(tt) -> s(length(L))
2.73/1.29	   and(tt) -> X
2.73/1.29	   zeros -> cons(0)
2.73/1.29	   isNat -> tt
2.73/1.29	   isNat -> isNatList
2.73/1.29	   isNat -> isNat
2.73/1.29	   isNatIList -> isNatList
2.73/1.29	   isNatIList -> tt
2.73/1.29	   isNatIList -> and(isNat)
2.73/1.29	   isNatList -> tt
2.73/1.29	   isNatList -> and(isNat)
2.73/1.29	   length(nil) -> 0
2.73/1.29	   length(cons(N)) -> U11(and(isNatList))
2.73/1.29	
2.73/1.29	
2.73/1.29	
2.73/1.29	Outermost Strategy.
2.73/1.29	
2.73/1.29	---------- Loop: ----------
2.73/1.29	
2.73/1.29	U11(tt) -> s(length(U11(tt))) with rule U11(tt) -> s(length(L)) at position [] and matcher [L / U11(tt)]
2.73/1.29	
2.73/1.29	Now an instance of the first term with Matcher [ ] occurs in the last term at position [0,0].
2.73/1.29	
2.73/1.29	Context: s(length([]))
2.73/1.29	
2.73/1.29	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.73/1.29	----------------------------------------
2.73/1.29	
2.73/1.29	(2)
2.73/1.29	NO
2.73/1.32	EOF