2.59/1.84	NO
2.59/1.85	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.59/1.85	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.59/1.85	
2.59/1.85	
2.59/1.85	Outermost Termination of the given OTRS could be disproven:
2.59/1.85	
2.59/1.85	(0) OTRS
2.59/1.85	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.59/1.85	(2) NO
2.59/1.85	
2.59/1.85	
2.59/1.85	----------------------------------------
2.59/1.85	
2.59/1.85	(0)
2.59/1.85	Obligation:
2.59/1.85	Term rewrite system R:
2.59/1.85	The TRS R consists of the following rules:
2.59/1.85	
2.59/1.85	   U62(tt) -> s(length(L))
2.59/1.85	   zeros -> cons(0)
2.59/1.85	   U11(tt) -> tt
2.59/1.85	   U21(tt) -> tt
2.59/1.85	   U31(tt) -> tt
2.59/1.85	   U41(tt) -> U42(isNatIList)
2.59/1.85	   U42(tt) -> tt
2.59/1.85	   U51(tt) -> U52(isNatList)
2.59/1.85	   U52(tt) -> tt
2.59/1.85	   U61(tt) -> U62(isNat)
2.59/1.85	   isNat -> tt
2.59/1.85	   isNat -> U11(isNatList)
2.59/1.85	   isNat -> U21(isNat)
2.59/1.85	   isNatIList -> U31(isNatList)
2.59/1.85	   isNatIList -> tt
2.59/1.85	   isNatIList -> U41(isNat)
2.59/1.85	   isNatList -> tt
2.59/1.85	   isNatList -> U51(isNat)
2.59/1.85	   length(nil) -> 0
2.59/1.85	   length(cons(N)) -> U61(isNatList)
2.59/1.85	
2.59/1.85	
2.59/1.85	
2.59/1.85	Outermost Strategy.
2.59/1.85	
2.59/1.85	----------------------------------------
2.59/1.85	
2.59/1.85	(1) OutermostNonTerminationProof (COMPLETE)
2.59/1.85	Term rewrite system R:
2.59/1.85	The TRS R consists of the following rules:
2.59/1.85	
2.59/1.85	   U62(tt) -> s(length(L))
2.59/1.85	   zeros -> cons(0)
2.59/1.85	   U11(tt) -> tt
2.59/1.85	   U21(tt) -> tt
2.59/1.85	   U31(tt) -> tt
2.59/1.85	   U41(tt) -> U42(isNatIList)
2.59/1.85	   U42(tt) -> tt
2.59/1.85	   U51(tt) -> U52(isNatList)
2.59/1.85	   U52(tt) -> tt
2.59/1.85	   U61(tt) -> U62(isNat)
2.59/1.85	   isNat -> tt
2.59/1.85	   isNat -> U11(isNatList)
2.59/1.85	   isNat -> U21(isNat)
2.59/1.85	   isNatIList -> U31(isNatList)
2.59/1.85	   isNatIList -> tt
2.59/1.85	   isNatIList -> U41(isNat)
2.59/1.85	   isNatList -> tt
2.59/1.85	   isNatList -> U51(isNat)
2.59/1.85	   length(nil) -> 0
2.59/1.85	   length(cons(N)) -> U61(isNatList)
2.59/1.85	
2.59/1.85	
2.59/1.85	
2.59/1.85	Outermost Strategy.
2.59/1.85	
2.59/1.85	---------- Loop: ----------
2.59/1.85	
2.59/1.85	U62(tt) -> s(length(U62(tt))) with rule U62(tt) -> s(length(L)) at position [] and matcher [L / U62(tt)]
2.59/1.85	
2.59/1.85	Now an instance of the first term with Matcher [ ] occurs in the last term at position [0,0].
2.59/1.85	
2.59/1.85	Context: s(length([]))
2.59/1.85	
2.59/1.85	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.59/1.85	----------------------------------------
2.59/1.85	
2.59/1.85	(2)
2.59/1.85	NO
2.66/1.88	EOF