2.79/1.26	NO
2.79/1.26	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
2.79/1.26	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.79/1.26	
2.79/1.26	
2.79/1.26	Outermost Termination of the given OTRS could be disproven:
2.79/1.26	
2.79/1.26	(0) OTRS
2.79/1.26	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.79/1.26	(2) NO
2.79/1.26	
2.79/1.26	
2.79/1.26	----------------------------------------
2.79/1.26	
2.79/1.26	(0)
2.79/1.26	Obligation:
2.79/1.26	Term rewrite system R:
2.79/1.26	The TRS R consists of the following rules:
2.79/1.26	
2.79/1.26	   U94(tt) -> s(length(L))
2.79/1.26	   zeros -> cons(0)
2.79/1.26	   U11(tt) -> U12(isNatIListKind)
2.79/1.26	   U12(tt) -> U13(isNatList)
2.79/1.26	   U13(tt) -> tt
2.79/1.26	   U21(tt) -> U22(isNatKind)
2.79/1.26	   U22(tt) -> U23(isNat)
2.79/1.26	   U23(tt) -> tt
2.79/1.26	   U31(tt) -> U32(isNatIListKind)
2.79/1.26	   U32(tt) -> U33(isNatList)
2.79/1.26	   U33(tt) -> tt
2.79/1.26	   U41(tt) -> U42(isNatKind)
2.79/1.26	   U42(tt) -> U43(isNatIListKind)
2.79/1.26	   U43(tt) -> U44(isNatIListKind)
2.79/1.26	   U44(tt) -> U45(isNat)
2.79/1.26	   U45(tt) -> U46(isNatIList)
2.79/1.26	   U46(tt) -> tt
2.79/1.26	   U51(tt) -> U52(isNatIListKind)
2.79/1.26	   U52(tt) -> tt
2.79/1.26	   U61(tt) -> tt
2.79/1.26	   U71(tt) -> tt
2.79/1.26	   U81(tt) -> U82(isNatKind)
2.79/1.26	   U82(tt) -> U83(isNatIListKind)
2.79/1.26	   U83(tt) -> U84(isNatIListKind)
2.79/1.26	   U84(tt) -> U85(isNat)
2.79/1.26	   U85(tt) -> U86(isNatList)
2.79/1.26	   U86(tt) -> tt
2.79/1.26	   U91(tt) -> U92(isNatIListKind)
2.79/1.26	   U92(tt) -> U93(isNat)
2.79/1.26	   U93(tt) -> U94(isNatKind)
2.79/1.26	   isNat -> tt
2.79/1.26	   isNat -> U11(isNatIListKind)
2.79/1.26	   isNat -> U21(isNatKind)
2.79/1.26	   isNatIList -> U31(isNatIListKind)
2.79/1.26	   isNatIList -> tt
2.79/1.26	   isNatIList -> U41(isNatKind)
2.79/1.26	   isNatIListKind -> tt
2.79/1.26	   isNatIListKind -> U51(isNatKind)
2.79/1.26	   isNatKind -> tt
2.79/1.26	   isNatKind -> U61(isNatIListKind)
2.79/1.26	   isNatKind -> U71(isNatKind)
2.79/1.26	   isNatList -> tt
2.79/1.26	   isNatList -> U81(isNatKind)
2.79/1.26	   length(nil) -> 0
2.79/1.26	   length(cons(N)) -> U91(isNatList)
2.79/1.26	
2.79/1.26	
2.79/1.26	
2.79/1.26	Outermost Strategy.
2.79/1.26	
2.79/1.26	----------------------------------------
2.79/1.26	
2.79/1.26	(1) OutermostNonTerminationProof (COMPLETE)
2.79/1.26	Term rewrite system R:
2.79/1.26	The TRS R consists of the following rules:
2.79/1.26	
2.79/1.26	   U94(tt) -> s(length(L))
2.79/1.26	   zeros -> cons(0)
2.79/1.26	   U11(tt) -> U12(isNatIListKind)
2.79/1.26	   U12(tt) -> U13(isNatList)
2.79/1.26	   U13(tt) -> tt
2.79/1.26	   U21(tt) -> U22(isNatKind)
2.79/1.26	   U22(tt) -> U23(isNat)
2.79/1.26	   U23(tt) -> tt
2.79/1.26	   U31(tt) -> U32(isNatIListKind)
2.79/1.26	   U32(tt) -> U33(isNatList)
2.79/1.26	   U33(tt) -> tt
2.79/1.26	   U41(tt) -> U42(isNatKind)
2.79/1.26	   U42(tt) -> U43(isNatIListKind)
2.79/1.26	   U43(tt) -> U44(isNatIListKind)
2.79/1.26	   U44(tt) -> U45(isNat)
2.79/1.26	   U45(tt) -> U46(isNatIList)
2.79/1.26	   U46(tt) -> tt
2.79/1.26	   U51(tt) -> U52(isNatIListKind)
2.79/1.26	   U52(tt) -> tt
2.79/1.26	   U61(tt) -> tt
2.79/1.26	   U71(tt) -> tt
2.79/1.26	   U81(tt) -> U82(isNatKind)
2.79/1.26	   U82(tt) -> U83(isNatIListKind)
2.79/1.26	   U83(tt) -> U84(isNatIListKind)
2.79/1.26	   U84(tt) -> U85(isNat)
2.79/1.26	   U85(tt) -> U86(isNatList)
2.79/1.26	   U86(tt) -> tt
2.79/1.26	   U91(tt) -> U92(isNatIListKind)
2.79/1.26	   U92(tt) -> U93(isNat)
2.79/1.26	   U93(tt) -> U94(isNatKind)
2.79/1.26	   isNat -> tt
2.79/1.26	   isNat -> U11(isNatIListKind)
2.79/1.26	   isNat -> U21(isNatKind)
2.79/1.26	   isNatIList -> U31(isNatIListKind)
2.79/1.26	   isNatIList -> tt
2.79/1.26	   isNatIList -> U41(isNatKind)
2.79/1.26	   isNatIListKind -> tt
2.79/1.26	   isNatIListKind -> U51(isNatKind)
2.79/1.26	   isNatKind -> tt
2.79/1.26	   isNatKind -> U61(isNatIListKind)
2.79/1.26	   isNatKind -> U71(isNatKind)
2.79/1.26	   isNatList -> tt
2.79/1.26	   isNatList -> U81(isNatKind)
2.79/1.26	   length(nil) -> 0
2.79/1.26	   length(cons(N)) -> U91(isNatList)
2.79/1.26	
2.79/1.26	
2.79/1.26	
2.79/1.26	Outermost Strategy.
2.79/1.26	
2.79/1.26	---------- Loop: ----------
2.79/1.26	
2.79/1.26	U94(tt) -> s(length(U94(tt))) with rule U94(tt) -> s(length(L)) at position [] and matcher [L / U94(tt)]
2.79/1.26	
2.79/1.26	Now an instance of the first term with Matcher [ ] occurs in the last term at position [0,0].
2.79/1.26	
2.79/1.26	Context: s(length([]))
2.79/1.26	
2.79/1.26	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.79/1.26	----------------------------------------
2.79/1.26	
2.79/1.26	(2)
2.79/1.26	NO
2.79/1.29	EOF