details

property	value
status	complete
benchmark	PALINDROME_nokinds-noand_L.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	1.99359 seconds
cpu usage	4.65029
user time	4.45704
system time	0.193246
max virtual memory	1.854124E7
max residence set size	272396.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(INF, INF). (0) DCpxTrs (1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxRelTRS (3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 581 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) InfiniteLowerBoundProof [FINISHED, 0 ms] (8) BOUNDS(INF, INF) ---------------------------------------- (0) Obligation: The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(INF, INF). The TRS R consists of the following rules: __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X U11(tt) -> tt U21(tt) -> U22(isList) U22(tt) -> tt U31(tt) -> tt U41(tt) -> U42(isNeList) U42(tt) -> tt U51(tt) -> U52(isList) U52(tt) -> tt U61(tt) -> tt U71(tt) -> U72(isPal) U72(tt) -> tt U81(tt) -> tt isList -> U11(isNeList) isList -> tt isList -> U21(isList) isNeList -> U31(isQid) isNeList -> U41(isList) isNeList -> U51(isNeList) isNePal -> U61(isQid) isNePal -> U71(isQid) isPal -> U81(isNePal) isPal -> tt isQid -> tt S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (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(nil) -> nil encArg(tt) -> tt encArg(cons___(x_1, x_2)) -> __(encArg(x_1), encArg(x_2)) encArg(cons_U11(x_1)) -> U11(encArg(x_1)) encArg(cons_U21(x_1)) -> U21(encArg(x_1)) encArg(cons_U22(x_1)) -> U22(encArg(x_1)) encArg(cons_U31(x_1)) -> U31(encArg(x_1)) encArg(cons_U41(x_1)) -> U41(encArg(x_1)) encArg(cons_U42(x_1)) -> U42(encArg(x_1)) encArg(cons_U51(x_1)) -> U51(encArg(x_1)) encArg(cons_U52(x_1)) -> U52(encArg(x_1)) encArg(cons_U61(x_1)) -> U61(encArg(x_1)) encArg(cons_U71(x_1)) -> U71(encArg(x_1)) encArg(cons_U72(x_1)) -> U72(encArg(x_1)) encArg(cons_U81(x_1)) -> U81(encArg(x_1)) encArg(cons_isList) -> isList encArg(cons_isNeList) -> isNeList encArg(cons_isNePal) -> isNePal encArg(cons_isPal) -> isPal encArg(cons_isQid) -> isQid encode___(x_1, x_2) -> __(encArg(x_1), encArg(x_2)) encode_nil -> nil encode_U11(x_1) -> U11(encArg(x_1)) encode_tt -> tt encode_U21(x_1) -> U21(encArg(x_1)) encode_U22(x_1) -> U22(encArg(x_1)) encode_isList -> isList encode_U31(x_1) -> U31(encArg(x_1)) encode_U41(x_1) -> U41(encArg(x_1)) encode_U42(x_1) -> U42(encArg(x_1)) encode_isNeList -> isNeList encode_U51(x_1) -> U51(encArg(x_1)) encode_U52(x_1) -> U52(encArg(x_1)) encode_U61(x_1) -> U61(encArg(x_1)) encode_U71(x_1) -> U71(encArg(x_1)) encode_U72(x_1) -> U72(encArg(x_1)) encode_isPal -> isPal encode_U81(x_1) -> U81(encArg(x_1)) encode_isQid -> isQid popout

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

job log

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actions

all output return to Derivational Complexity: TRS Innermost