3.00/1.55	WORST_CASE(NON_POLY, ?)
3.12/1.55	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.12/1.55	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.12/1.55	
3.12/1.55	
3.12/1.55	The Runtime Complexity  of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF).
3.12/1.55	
3.12/1.55	(0) Name of obligation not specified
3.12/1.55	(1) ExtraVarProof [FINISHED, 0 ms]
3.12/1.55	(2) BOUNDS(INF, INF)
3.12/1.55	
3.12/1.55	
3.12/1.55	----------------------------------------
3.12/1.55	
3.12/1.55	(0)
3.12/1.55	Obligation:
3.12/1.55	The Runtime Complexity  of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF).
3.12/1.55	
3.12/1.55	
3.12/1.55	The TRS R consists of the following rules:
3.12/1.55	
3.12/1.55	   U12(tt) -> snd(splitAt(N, XS))
3.12/1.55	   U22(tt) -> X
3.12/1.55	   U32(tt) -> N
3.12/1.55	   U42(tt) -> head(afterNth(N, XS))
3.12/1.55	   U52(tt) -> Y
3.12/1.55	   U63(tt) -> U64(splitAt(N, XS))
3.12/1.55	   U64(pair(YS, ZS)) -> pair(cons(X), ZS)
3.12/1.55	   U72(tt) -> XS
3.12/1.55	   U82(tt) -> fst(splitAt(N, XS))
3.12/1.55	   U11(tt) -> U12(tt)
3.12/1.55	   U21(tt) -> U22(tt)
3.12/1.55	   U31(tt) -> U32(tt)
3.12/1.55	   U41(tt) -> U42(tt)
3.12/1.55	   U51(tt) -> U52(tt)
3.12/1.55	   U61(tt) -> U62(tt)
3.12/1.55	   U62(tt) -> U63(tt)
3.12/1.55	   U71(tt) -> U72(tt)
3.12/1.55	   U81(tt) -> U82(tt)
3.12/1.55	   afterNth(N, XS) -> U11(tt)
3.12/1.55	   fst(pair(X, Y)) -> U21(tt)
3.12/1.55	   head(cons(N)) -> U31(tt)
3.12/1.55	   natsFrom(N) -> cons(N)
3.12/1.55	   sel(N, XS) -> U41(tt)
3.12/1.55	   snd(pair(X, Y)) -> U51(tt)
3.12/1.55	   splitAt(0, XS) -> pair(nil, XS)
3.12/1.55	   splitAt(s(N), cons(X)) -> U61(tt)
3.12/1.55	   tail(cons(N)) -> U71(tt)
3.12/1.55	   take(N, XS) -> U81(tt)
3.12/1.55	
3.12/1.55	
3.12/1.55	----------------------------------------
3.12/1.55	
3.12/1.55	(1) ExtraVarProof (FINISHED)
3.12/1.55	unbounded runtime complexity due to extra variable on rhs
3.12/1.55	----------------------------------------
3.12/1.55	
3.12/1.55	(2)
3.12/1.55	BOUNDS(INF, INF)
3.12/1.60	EOF