details

property	value
status	complete
benchmark	PALINDROME_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n027.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	291.69895196 seconds
cpu usage	902.411054024
max memory	1.0094235648E10

stage attributes

key	value
output-size	433933
starexec-result	WORST_CASE(Omega(n^2), ?)

output

/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^2), ?) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^2, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (4) typed CpxTrs (5) OrderProof [LOWER BOUND(ID), 0 ms] (6) typed CpxTrs (7) RewriteLemmaProof [LOWER BOUND(ID), 527 ms] (8) BEST (9) proven lower bound (10) LowerBoundPropagationProof [FINISHED, 0 ms] (11) BOUNDS(n^1, INF) (12) typed CpxTrs (13) RewriteLemmaProof [LOWER BOUND(ID), 58.1 s] (14) BEST (15) proven lower bound (16) LowerBoundPropagationProof [FINISHED, 0 ms] (17) BOUNDS(n^2, INF) (18) typed CpxTrs ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^2, INF). The TRS R consists of the following rules: a____(__(X, Y), Z) -> a____(mark(X), a____(mark(Y), mark(Z))) a____(X, nil) -> mark(X) a____(nil, X) -> mark(X) a__U11(tt, V) -> a__U12(a__isPalListKind(V), V) a__U12(tt, V) -> a__U13(a__isNeList(V)) a__U13(tt) -> tt a__U21(tt, V1, V2) -> a__U22(a__isPalListKind(V1), V1, V2) a__U22(tt, V1, V2) -> a__U23(a__isPalListKind(V2), V1, V2) a__U23(tt, V1, V2) -> a__U24(a__isPalListKind(V2), V1, V2) a__U24(tt, V1, V2) -> a__U25(a__isList(V1), V2) a__U25(tt, V2) -> a__U26(a__isList(V2)) a__U26(tt) -> tt a__U31(tt, V) -> a__U32(a__isPalListKind(V), V) a__U32(tt, V) -> a__U33(a__isQid(V)) a__U33(tt) -> tt a__U41(tt, V1, V2) -> a__U42(a__isPalListKind(V1), V1, V2) a__U42(tt, V1, V2) -> a__U43(a__isPalListKind(V2), V1, V2) a__U43(tt, V1, V2) -> a__U44(a__isPalListKind(V2), V1, V2) a__U44(tt, V1, V2) -> a__U45(a__isList(V1), V2) a__U45(tt, V2) -> a__U46(a__isNeList(V2)) a__U46(tt) -> tt a__U51(tt, V1, V2) -> a__U52(a__isPalListKind(V1), V1, V2) a__U52(tt, V1, V2) -> a__U53(a__isPalListKind(V2), V1, V2) a__U53(tt, V1, V2) -> a__U54(a__isPalListKind(V2), V1, V2) a__U54(tt, V1, V2) -> a__U55(a__isNeList(V1), V2) a__U55(tt, V2) -> a__U56(a__isList(V2)) a__U56(tt) -> tt a__U61(tt, V) -> a__U62(a__isPalListKind(V), V) a__U62(tt, V) -> a__U63(a__isQid(V)) a__U63(tt) -> tt a__U71(tt, I, P) -> a__U72(a__isPalListKind(I), P) a__U72(tt, P) -> a__U73(a__isPal(P), P) a__U73(tt, P) -> a__U74(a__isPalListKind(P)) a__U74(tt) -> tt a__U81(tt, V) -> a__U82(a__isPalListKind(V), V) a__U82(tt, V) -> a__U83(a__isNePal(V)) a__U83(tt) -> tt a__U91(tt, V2) -> a__U92(a__isPalListKind(V2)) a__U92(tt) -> tt a__isList(V) -> a__U11(a__isPalListKind(V), V) a__isList(nil) -> tt a__isList(__(V1, V2)) -> a__U21(a__isPalListKind(V1), V1, V2) a__isNeList(V) -> a__U31(a__isPalListKind(V), V) a__isNeList(__(V1, V2)) -> a__U41(a__isPalListKind(V1), V1, V2) a__isNeList(__(V1, V2)) -> a__U51(a__isPalListKind(V1), V1, V2) a__isNePal(V) -> a__U61(a__isPalListKind(V), V) a__isNePal(__(I, __(P, I))) -> a__U71(a__isQid(I), I, P) a__isPal(V) -> a__U81(a__isPalListKind(V), V) a__isPal(nil) -> tt a__isPalListKind(a) -> tt a__isPalListKind(e) -> tt a__isPalListKind(i) -> tt a__isPalListKind(nil) -> tt a__isPalListKind(o) -> tt a__isPalListKind(u) -> tt a__isPalListKind(__(V1, V2)) -> a__U91(a__isPalListKind(V1), V2) a__isQid(a) -> tt popout

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

job log

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actions

all output return to Runti Compl Full Rewri 10127