details

property	value
status	complete
benchmark	PALINDROME_nosorts_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	291.622 seconds
cpu usage	1109.44
user time	1096.84
system time	12.5976
max virtual memory	3.7711256E7
max residence set size	1.495454E7

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(n^1, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 215 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 5 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 0 ms] (10) typed CpxTrs (11) RewriteLemmaProof [LOWER BOUND(ID), 237 ms] (12) BEST (13) proven lower bound (14) LowerBoundPropagationProof [FINISHED, 0 ms] (15) BOUNDS(n^1, INF) (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 204 ms] (18) BOUNDS(1, INF) ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(n^1, 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__and(tt, X) -> mark(X) a__isNePal(__(I, __(P, I))) -> tt mark(__(X1, X2)) -> a____(mark(X1), mark(X2)) mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(isNePal(X)) -> a__isNePal(mark(X)) mark(nil) -> nil mark(tt) -> tt a____(X1, X2) -> __(X1, X2) a__and(X1, X2) -> and(X1, X2) a__isNePal(X) -> isNePal(X) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID)) The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem: encArg(__(x_1, x_2)) -> __(encArg(x_1), encArg(x_2)) encArg(nil) -> nil encArg(tt) -> tt encArg(and(x_1, x_2)) -> and(encArg(x_1), encArg(x_2)) encArg(isNePal(x_1)) -> isNePal(encArg(x_1)) encArg(cons_a____(x_1, x_2)) -> a____(encArg(x_1), encArg(x_2)) encArg(cons_a__and(x_1, x_2)) -> a__and(encArg(x_1), encArg(x_2)) encArg(cons_a__isNePal(x_1)) -> a__isNePal(encArg(x_1)) encArg(cons_mark(x_1)) -> mark(encArg(x_1)) encode_a____(x_1, x_2) -> a____(encArg(x_1), encArg(x_2)) encode___(x_1, x_2) -> __(encArg(x_1), encArg(x_2)) encode_mark(x_1) -> mark(encArg(x_1)) encode_nil -> nil encode_a__and(x_1, x_2) -> a__and(encArg(x_1), encArg(x_2)) encode_tt -> tt encode_a__isNePal(x_1) -> a__isNePal(encArg(x_1)) encode_and(x_1, x_2) -> and(encArg(x_1), encArg(x_2)) encode_isNePal(x_1) -> isNePal(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(n^1, 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__and(tt, X) -> mark(X) a__isNePal(__(I, __(P, I))) -> tt mark(__(X1, X2)) -> a____(mark(X1), mark(X2)) mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(isNePal(X)) -> a__isNePal(mark(X)) mark(nil) -> nil mark(tt) -> tt a____(X1, X2) -> __(X1, X2) a__and(X1, X2) -> and(X1, X2) a__isNePal(X) -> isNePal(X) popout

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

job log

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actions

all output return to Derivational Complexity: TRS