details

property	value
status	complete
benchmark	OvConsOS_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	292.286 seconds
cpu usage	1146.79
user time	1135.92
system time	10.8734
max virtual memory	1.9803716E7
max residence set size	1.4857512E7

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^1), ?)

output

WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). (0) CpxTRS (1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (2) TRS for Loop Detection (3) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (4) BEST (5) proven lower bound (6) LowerBoundPropagationProof [FINISHED, 0 ms] (7) BOUNDS(n^1, INF) (8) TRS for Loop Detection ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U101(tt, V1, V2) -> a__U102(a__isNatKind(V1), V1, V2) a__U102(tt, V1, V2) -> a__U103(a__isNatIListKind(V2), V1, V2) a__U103(tt, V1, V2) -> a__U104(a__isNatIListKind(V2), V1, V2) a__U104(tt, V1, V2) -> a__U105(a__isNat(V1), V2) a__U105(tt, V2) -> a__U106(a__isNatIList(V2)) a__U106(tt) -> tt a__U11(tt, V1) -> a__U12(a__isNatIListKind(V1), V1) a__U111(tt, L, N) -> a__U112(a__isNatIListKind(L), L, N) a__U112(tt, L, N) -> a__U113(a__isNat(N), L, N) a__U113(tt, L, N) -> a__U114(a__isNatKind(N), L) a__U114(tt, L) -> s(a__length(mark(L))) a__U12(tt, V1) -> a__U13(a__isNatList(V1)) a__U121(tt, IL) -> a__U122(a__isNatIListKind(IL)) a__U122(tt) -> nil a__U13(tt) -> tt a__U131(tt, IL, M, N) -> a__U132(a__isNatIListKind(IL), IL, M, N) a__U132(tt, IL, M, N) -> a__U133(a__isNat(M), IL, M, N) a__U133(tt, IL, M, N) -> a__U134(a__isNatKind(M), IL, M, N) a__U134(tt, IL, M, N) -> a__U135(a__isNat(N), IL, M, N) a__U135(tt, IL, M, N) -> a__U136(a__isNatKind(N), IL, M, N) a__U136(tt, IL, M, N) -> cons(mark(N), take(M, IL)) a__U21(tt, V1) -> a__U22(a__isNatKind(V1), V1) a__U22(tt, V1) -> a__U23(a__isNat(V1)) a__U23(tt) -> tt a__U31(tt, V) -> a__U32(a__isNatIListKind(V), V) a__U32(tt, V) -> a__U33(a__isNatList(V)) a__U33(tt) -> tt a__U41(tt, V1, V2) -> a__U42(a__isNatKind(V1), V1, V2) a__U42(tt, V1, V2) -> a__U43(a__isNatIListKind(V2), V1, V2) a__U43(tt, V1, V2) -> a__U44(a__isNatIListKind(V2), V1, V2) a__U44(tt, V1, V2) -> a__U45(a__isNat(V1), V2) a__U45(tt, V2) -> a__U46(a__isNatIList(V2)) a__U46(tt) -> tt a__U51(tt, V2) -> a__U52(a__isNatIListKind(V2)) a__U52(tt) -> tt a__U61(tt, V2) -> a__U62(a__isNatIListKind(V2)) a__U62(tt) -> tt a__U71(tt) -> tt a__U81(tt) -> tt a__U91(tt, V1, V2) -> a__U92(a__isNatKind(V1), V1, V2) a__U92(tt, V1, V2) -> a__U93(a__isNatIListKind(V2), V1, V2) a__U93(tt, V1, V2) -> a__U94(a__isNatIListKind(V2), V1, V2) a__U94(tt, V1, V2) -> a__U95(a__isNat(V1), V2) a__U95(tt, V2) -> a__U96(a__isNatList(V2)) a__U96(tt) -> tt a__isNat(0) -> tt a__isNat(length(V1)) -> a__U11(a__isNatIListKind(V1), V1) a__isNat(s(V1)) -> a__U21(a__isNatKind(V1), V1) a__isNatIList(V) -> a__U31(a__isNatIListKind(V), V) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__U41(a__isNatKind(V1), V1, V2) a__isNatIListKind(nil) -> tt a__isNatIListKind(zeros) -> tt a__isNatIListKind(cons(V1, V2)) -> a__U51(a__isNatKind(V1), V2) a__isNatIListKind(take(V1, V2)) -> a__U61(a__isNatKind(V1), V2) a__isNatKind(0) -> tt a__isNatKind(length(V1)) -> a__U71(a__isNatIListKind(V1)) a__isNatKind(s(V1)) -> a__U81(a__isNatKind(V1)) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__U91(a__isNatKind(V1), V1, V2) a__isNatList(take(V1, V2)) -> a__U101(a__isNatKind(V1), V1, V2) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U111(a__isNatList(L), L, N) a__take(0, IL) -> a__U121(a__isNatIList(IL), IL) a__take(s(M), cons(N, IL)) -> a__U131(a__isNatIList(IL), IL, M, N) mark(zeros) -> a__zeros mark(U101(X1, X2, X3)) -> a__U101(mark(X1), X2, X3) mark(U102(X1, X2, X3)) -> a__U102(mark(X1), X2, X3) mark(isNatKind(X)) -> a__isNatKind(X) mark(U103(X1, X2, X3)) -> a__U103(mark(X1), X2, X3) mark(isNatIListKind(X)) -> a__isNatIListKind(X) mark(U104(X1, X2, X3)) -> a__U104(mark(X1), X2, X3) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Runtime Complexity: TRS Innermost