Runtime_Complexity_Full_Rewriting 2019-04-01 06.11 pair #433308359

details

property	value
status	complete
benchmark	LISTUTILITIES_nokinds_L.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n004.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	1.61338 seconds
cpu usage	3.15
user time	3.01876
system time	0.131241
max virtual memory	1.8275288E7
max residence set size	207052.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

3.07/1.57	WORST_CASE(NON_POLY, ?)
3.11/1.58	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.11/1.58	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.11/1.58	
3.11/1.58	
3.11/1.58	The Runtime Complexity  of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF).
3.11/1.58	
3.11/1.58	(0) Name of obligation not specified
3.11/1.58	(1) ExtraVarProof [FINISHED, 0 ms]
3.11/1.58	(2) BOUNDS(INF, INF)
3.11/1.58	
3.11/1.58	
3.11/1.58	----------------------------------------
3.11/1.58	
3.11/1.58	(0)
3.11/1.58	Obligation:
3.11/1.58	The Runtime Complexity  of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF).
3.11/1.58	
3.11/1.58	
3.11/1.58	The TRS R consists of the following rules:
3.11/1.58	
3.11/1.58	   U101(tt) -> fst(splitAt(N, XS))
3.11/1.58	   U11(tt) -> snd(splitAt(N, XS))
3.11/1.58	   U21(tt) -> X
3.11/1.58	   U31(tt) -> N
3.11/1.58	   U41(tt) -> cons(N)
3.11/1.58	   U51(tt) -> head(afterNth(N, XS))
3.11/1.58	   U61(tt) -> Y
3.11/1.58	   U71(tt) -> pair(nil, XS)
3.11/1.58	   U81(tt) -> U82(splitAt(N, XS))
3.11/1.58	   U82(pair(YS, ZS)) -> pair(cons(X), ZS)
3.11/1.58	   U91(tt) -> XS
3.11/1.58	   and(tt) -> X
3.11/1.58	   afterNth(N, XS) -> U11(and(isNatural))
3.11/1.58	   fst(pair(X, Y)) -> U21(and(isLNat))
3.11/1.58	   head(cons(N)) -> U31(and(isNatural))
3.11/1.58	   isLNat -> tt
3.11/1.58	   isLNat -> and(isNatural)
3.11/1.58	   isLNat -> isPLNat
3.11/1.58	   isLNat -> isNatural
3.11/1.58	   isLNat -> isLNat
3.11/1.58	   isNatural -> tt
3.11/1.58	   isNatural -> isLNat
3.11/1.58	   isNatural -> isNatural
3.11/1.58	   isNatural -> and(isNatural)
3.11/1.58	   isPLNat -> and(isLNat)
3.11/1.58	   isPLNat -> and(isNatural)
3.11/1.58	   natsFrom(N) -> U41(isNatural)
3.11/1.58	   sel(N, XS) -> U51(and(isNatural))
3.11/1.58	   snd(pair(X, Y)) -> U61(and(isLNat))
3.11/1.58	   splitAt(0, XS) -> U71(isLNat)
3.11/1.58	   splitAt(s(N), cons(X)) -> U81(and(isNatural))
3.11/1.58	   tail(cons(N)) -> U91(and(isNatural))
3.11/1.58	   take(N, XS) -> U101(and(isNatural))
3.11/1.58	
3.11/1.58	
3.11/1.58	----------------------------------------
3.11/1.58	
3.11/1.58	(1) ExtraVarProof (FINISHED)
3.11/1.58	unbounded runtime complexity due to extra variable on rhs
3.11/1.58	----------------------------------------
3.11/1.58	
3.11/1.58	(2)
3.11/1.58	BOUNDS(INF, INF)
3.13/1.61	EOF

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