3.02/1.87	WORST_CASE(NON_POLY, ?)
3.02/1.88	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.02/1.88	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.02/1.88	
3.02/1.88	
3.02/1.88	The Runtime Complexity  of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF).
3.02/1.88	
3.02/1.88	(0) Name of obligation not specified
3.02/1.88	(1) ExtraVarProof [FINISHED, 0 ms]
3.02/1.88	(2) BOUNDS(INF, INF)
3.02/1.88	
3.02/1.88	
3.02/1.88	----------------------------------------
3.02/1.88	
3.02/1.88	(0)
3.02/1.88	Obligation:
3.02/1.88	The Runtime Complexity  of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF).
3.02/1.88	
3.02/1.88	
3.02/1.88	The TRS R consists of the following rules:
3.02/1.88	
3.02/1.88	   U94(tt) -> s(length(L))
3.02/1.88	   zeros -> cons(0)
3.02/1.88	   U11(tt) -> U12(isNatIListKind)
3.02/1.88	   U12(tt) -> U13(isNatList)
3.02/1.88	   U13(tt) -> tt
3.02/1.88	   U21(tt) -> U22(isNatKind)
3.02/1.88	   U22(tt) -> U23(isNat)
3.02/1.88	   U23(tt) -> tt
3.02/1.88	   U31(tt) -> U32(isNatIListKind)
3.02/1.88	   U32(tt) -> U33(isNatList)
3.02/1.88	   U33(tt) -> tt
3.02/1.88	   U41(tt) -> U42(isNatKind)
3.02/1.88	   U42(tt) -> U43(isNatIListKind)
3.02/1.88	   U43(tt) -> U44(isNatIListKind)
3.02/1.88	   U44(tt) -> U45(isNat)
3.02/1.88	   U45(tt) -> U46(isNatIList)
3.02/1.88	   U46(tt) -> tt
3.02/1.88	   U51(tt) -> U52(isNatIListKind)
3.02/1.88	   U52(tt) -> tt
3.02/1.88	   U61(tt) -> tt
3.02/1.88	   U71(tt) -> tt
3.02/1.88	   U81(tt) -> U82(isNatKind)
3.02/1.88	   U82(tt) -> U83(isNatIListKind)
3.02/1.88	   U83(tt) -> U84(isNatIListKind)
3.02/1.88	   U84(tt) -> U85(isNat)
3.02/1.88	   U85(tt) -> U86(isNatList)
3.02/1.88	   U86(tt) -> tt
3.02/1.88	   U91(tt) -> U92(isNatIListKind)
3.02/1.88	   U92(tt) -> U93(isNat)
3.02/1.88	   U93(tt) -> U94(isNatKind)
3.02/1.88	   isNat -> tt
3.02/1.88	   isNat -> U11(isNatIListKind)
3.02/1.88	   isNat -> U21(isNatKind)
3.02/1.88	   isNatIList -> U31(isNatIListKind)
3.02/1.88	   isNatIList -> tt
3.02/1.88	   isNatIList -> U41(isNatKind)
3.02/1.88	   isNatIListKind -> tt
3.02/1.88	   isNatIListKind -> U51(isNatKind)
3.02/1.88	   isNatKind -> tt
3.02/1.88	   isNatKind -> U61(isNatIListKind)
3.02/1.88	   isNatKind -> U71(isNatKind)
3.02/1.88	   isNatList -> tt
3.02/1.88	   isNatList -> U81(isNatKind)
3.02/1.88	   length(nil) -> 0
3.02/1.88	   length(cons(N)) -> U91(isNatList)
3.02/1.88	
3.02/1.88	
3.02/1.88	----------------------------------------
3.02/1.88	
3.02/1.88	(1) ExtraVarProof (FINISHED)
3.02/1.88	unbounded runtime complexity due to extra variable on rhs
3.02/1.88	----------------------------------------
3.02/1.88	
3.02/1.88	(2)
3.02/1.88	BOUNDS(INF, INF)
3.20/1.92	EOF