details

property	value
status	complete
benchmark	thiemann20.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n051.star.cs.uiowa.edu
space	AProVE_07

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	291.419360161 seconds
cpu usage	310.18814979
max memory	5.348192256E9

stage attributes

key	value
output-size	10458
starexec-result	WORST_CASE(Omega(n^1), ?)

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^1), ?) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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), 251 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), 86 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 98 ms] (16) typed CpxTrs ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: gt(0, y) -> false gt(s(x), 0) -> true gt(s(x), s(y)) -> gt(x, y) plus(0, y) -> y plus(s(x), y) -> s(plus(x, y)) double(0) -> 0 double(s(x)) -> s(s(double(x))) average(x, y) -> aver(plus(x, y), 0) aver(sum, z) -> if(gt(sum, double(z)), sum, z) if(true, sum, z) -> aver(sum, s(z)) if(false, sum, z) -> z S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: gt(0', y) -> false gt(s(x), 0') -> true gt(s(x), s(y)) -> gt(x, y) plus(0', y) -> y plus(s(x), y) -> s(plus(x, y)) double(0') -> 0' double(s(x)) -> s(s(double(x))) average(x, y) -> aver(plus(x, y), 0') aver(sum, z) -> if(gt(sum, double(z)), sum, z) if(true, sum, z) -> aver(sum, s(z)) if(false, sum, z) -> z S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: TRS: Rules: gt(0', y) -> false gt(s(x), 0') -> true gt(s(x), s(y)) -> gt(x, y) plus(0', y) -> y plus(s(x), y) -> s(plus(x, y)) double(0') -> 0' double(s(x)) -> s(s(double(x))) average(x, y) -> aver(plus(x, y), 0') 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