details

property	value
status	complete
benchmark	Ex1_GL02a_L.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	1.74795 seconds
cpu usage	3.95577
user time	3.78283
system time	0.172941
max virtual memory	1.8475476E7
max residence set size	246368.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(INF, INF).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), 259 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: eq -> true eq -> eq eq -> false inf(X) -> cons take(0, X) -> nil take(s, cons) -> cons length(nil) -> 0 length(cons) -> s 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(true) -> true encArg(false) -> false encArg(cons) -> cons encArg(0) -> 0 encArg(nil) -> nil encArg(s) -> s encArg(cons_eq) -> eq encArg(cons_inf(x_1)) -> inf(encArg(x_1)) encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) encArg(cons_length(x_1)) -> length(encArg(x_1)) encode_eq -> eq encode_true -> true encode_false -> false encode_inf(x_1) -> inf(encArg(x_1)) encode_cons -> cons encode_take(x_1, x_2) -> take(encArg(x_1), encArg(x_2)) encode_0 -> 0 encode_nil -> nil encode_s -> s encode_length(x_1) -> length(encArg(x_1)) ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(INF, INF). The TRS R consists of the following rules: eq -> true eq -> eq eq -> false inf(X) -> cons take(0, X) -> nil take(s, cons) -> cons length(nil) -> 0 length(cons) -> s The (relative) TRS S consists of the following rules: encArg(true) -> true encArg(false) -> false encArg(cons) -> cons encArg(0) -> 0 encArg(nil) -> nil encArg(s) -> s encArg(cons_eq) -> eq encArg(cons_inf(x_1)) -> inf(encArg(x_1)) encArg(cons_take(x_1, x_2)) -> take(encArg(x_1), encArg(x_2)) encArg(cons_length(x_1)) -> length(encArg(x_1)) encode_eq -> eq encode_true -> true encode_false -> false encode_inf(x_1) -> inf(encArg(x_1)) encode_cons -> cons popout

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

job log

popout

actions

all output return to Derivational Complexity: TRS Innermost