Runtime_Complexity_Full_Rewriting 2019-04-01 06.11 pair #433308234

details

property	value
status	complete
benchmark	LISTUTILITIES_complete-noand_FR.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n008.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	3.58399 seconds
cpu usage	10.8367
user time	10.1561
system time	0.680669
max virtual memory	1.8277336E7
max residence set size	2336296.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

10.41/3.44	WORST_CASE(NON_POLY, ?)
10.58/3.48	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
10.58/3.48	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.58/3.48	
10.58/3.48	
10.58/3.48	The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF).
10.58/3.48	
10.58/3.48	(0) CpxTRS
10.58/3.48	(1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
10.58/3.48	(2) TRS for Loop Detection
10.58/3.48	(3) DecreasingLoopProof [LOWER BOUND(ID), 0 ms]
10.58/3.48	(4) BEST
10.58/3.48	    (5) proven lower bound
10.58/3.48	        (6) LowerBoundPropagationProof [FINISHED, 0 ms]
10.58/3.48	        (7) BOUNDS(n^1, INF)
10.58/3.48	    (8) TRS for Loop Detection
10.58/3.48	        (9) DecreasingLoopProof [FINISHED, 1342 ms]
10.58/3.48	        (10) BOUNDS(EXP, INF)
10.58/3.48	
10.58/3.48	
10.58/3.48	----------------------------------------
10.58/3.48	
10.58/3.48	(0)
10.58/3.48	Obligation:
10.58/3.48	The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(EXP, INF).
10.58/3.48	
10.58/3.48	
10.58/3.48	The TRS R consists of the following rules:
10.58/3.48	
10.58/3.48	   U101(tt, V1, V2) -> U102(isNaturalKind(activate(V1)), activate(V1), activate(V2))
10.58/3.48	   U102(tt, V1, V2) -> U103(isLNatKind(activate(V2)), activate(V1), activate(V2))
10.58/3.48	   U103(tt, V1, V2) -> U104(isLNatKind(activate(V2)), activate(V1), activate(V2))
10.58/3.48	   U104(tt, V1, V2) -> U105(isNatural(activate(V1)), activate(V2))
10.58/3.48	   U105(tt, V2) -> U106(isLNat(activate(V2)))
10.58/3.48	   U106(tt) -> tt
10.58/3.48	   U11(tt, N, XS) -> U12(isNaturalKind(activate(N)), activate(N), activate(XS))
10.58/3.48	   U111(tt, V2) -> U112(isLNatKind(activate(V2)))
10.58/3.48	   U112(tt) -> tt
10.58/3.48	   U12(tt, N, XS) -> U13(isLNat(activate(XS)), activate(N), activate(XS))
10.58/3.48	   U121(tt, V2) -> U122(isLNatKind(activate(V2)))
10.58/3.48	   U122(tt) -> tt
10.58/3.48	   U13(tt, N, XS) -> U14(isLNatKind(activate(XS)), activate(N), activate(XS))
10.58/3.48	   U131(tt) -> tt
10.58/3.48	   U14(tt, N, XS) -> snd(splitAt(activate(N), activate(XS)))
10.58/3.48	   U141(tt) -> tt
10.58/3.48	   U151(tt) -> tt
10.58/3.48	   U161(tt) -> tt
10.58/3.48	   U171(tt, V2) -> U172(isLNatKind(activate(V2)))
10.58/3.48	   U172(tt) -> tt
10.58/3.48	   U181(tt, V1) -> U182(isLNatKind(activate(V1)), activate(V1))
10.58/3.48	   U182(tt, V1) -> U183(isLNat(activate(V1)))
10.58/3.48	   U183(tt) -> tt
10.58/3.48	   U191(tt, V1) -> U192(isNaturalKind(activate(V1)), activate(V1))
10.58/3.48	   U192(tt, V1) -> U193(isNatural(activate(V1)))
10.58/3.48	   U193(tt) -> tt
10.58/3.48	   U201(tt, V1, V2) -> U202(isNaturalKind(activate(V1)), activate(V1), activate(V2))
10.58/3.48	   U202(tt, V1, V2) -> U203(isLNatKind(activate(V2)), activate(V1), activate(V2))
10.58/3.48	   U203(tt, V1, V2) -> U204(isLNatKind(activate(V2)), activate(V1), activate(V2))
10.58/3.48	   U204(tt, V1, V2) -> U205(isNatural(activate(V1)), activate(V2))
10.58/3.48	   U205(tt, V2) -> U206(isLNat(activate(V2)))
10.58/3.48	   U206(tt) -> tt
10.58/3.48	   U21(tt, X, Y) -> U22(isLNatKind(activate(X)), activate(X), activate(Y))
10.58/3.48	   U211(tt) -> tt
10.58/3.48	   U22(tt, X, Y) -> U23(isLNat(activate(Y)), activate(X), activate(Y))
10.58/3.48	   U221(tt) -> tt
10.58/3.48	   U23(tt, X, Y) -> U24(isLNatKind(activate(Y)), activate(X))
10.58/3.48	   U231(tt, V2) -> U232(isLNatKind(activate(V2)))
10.58/3.48	   U232(tt) -> tt
10.58/3.48	   U24(tt, X) -> activate(X)
10.58/3.48	   U241(tt, V1, V2) -> U242(isLNatKind(activate(V1)), activate(V1), activate(V2))
10.58/3.48	   U242(tt, V1, V2) -> U243(isLNatKind(activate(V2)), activate(V1), activate(V2))
10.58/3.48	   U243(tt, V1, V2) -> U244(isLNatKind(activate(V2)), activate(V1), activate(V2))
10.58/3.48	   U244(tt, V1, V2) -> U245(isLNat(activate(V1)), activate(V2))
10.58/3.48	   U245(tt, V2) -> U246(isLNat(activate(V2)))
10.58/3.48	   U246(tt) -> tt
10.58/3.48	   U251(tt, V1, V2) -> U252(isNaturalKind(activate(V1)), activate(V1), activate(V2))
10.58/3.48	   U252(tt, V1, V2) -> U253(isLNatKind(activate(V2)), activate(V1), activate(V2))
10.58/3.48	   U253(tt, V1, V2) -> U254(isLNatKind(activate(V2)), activate(V1), activate(V2))
10.58/3.48	   U254(tt, V1, V2) -> U255(isNatural(activate(V1)), activate(V2))
10.58/3.48	   U255(tt, V2) -> U256(isLNat(activate(V2)))
10.58/3.48	   U256(tt) -> tt
10.58/3.48	   U261(tt, V2) -> U262(isLNatKind(activate(V2)))
10.58/3.48	   U262(tt) -> tt
10.58/3.48	   U271(tt, V2) -> U272(isLNatKind(activate(V2)))
10.58/3.48	   U272(tt) -> tt
10.58/3.48	   U281(tt, N) -> U282(isNaturalKind(activate(N)), activate(N))
10.58/3.48	   U282(tt, N) -> cons(activate(N), n__natsFrom(n__s(activate(N))))
10.58/3.48	   U291(tt, N, XS) -> U292(isNaturalKind(activate(N)), activate(N), activate(XS))
10.58/3.48	   U292(tt, N, XS) -> U293(isLNat(activate(XS)), activate(N), activate(XS))
10.58/3.48	   U293(tt, N, XS) -> U294(isLNatKind(activate(XS)), activate(N), activate(XS))
10.58/3.48	   U294(tt, N, XS) -> head(afterNth(activate(N), activate(XS)))
10.58/3.48	   U301(tt, X, Y) -> U302(isLNatKind(activate(X)), activate(Y))
10.58/3.48	   U302(tt, Y) -> U303(isLNat(activate(Y)), activate(Y))
10.58/3.48	   U303(tt, Y) -> U304(isLNatKind(activate(Y)), activate(Y))
10.58/3.48	   U304(tt, Y) -> activate(Y)
10.58/3.48	   U31(tt, N, XS) -> U32(isNaturalKind(activate(N)), activate(N), activate(XS))
10.58/3.48	   U311(tt, XS) -> U312(isLNatKind(activate(XS)), activate(XS))
10.58/3.48	   U312(tt, XS) -> pair(nil, activate(XS))
10.58/3.48	   U32(tt, N, XS) -> U33(isLNat(activate(XS)), activate(N), activate(XS))
10.58/3.48	   U321(tt, N, X, XS) -> U322(isNaturalKind(activate(N)), activate(N), activate(X), activate(XS))

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actions all output return to Runtime_Complexity_Full_Rewriting 2019-04-01 06.11