details

property	value
status	complete
benchmark	12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Der95

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	291.45755887 seconds
cpu usage	364.032104496
max memory	9.961398272E9

stage attributes

key	value
output-size	4326
starexec-result	WORST_CASE(Omega(n^1), ?)

output

/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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), 987 ms] (8) proven lower bound (9) LowerBoundPropagationProof [FINISHED, 0 ms] (10) BOUNDS(n^1, INF) ---------------------------------------- (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: not(not(x)) -> x not(or(x, y)) -> and(not(x), not(y)) not(and(x, y)) -> or(not(x), not(y)) and(x, or(y, z)) -> or(and(x, y), and(x, z)) and(or(y, z), x) -> or(and(x, y), and(x, 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: not(not(x)) -> x not(or(x, y)) -> and(not(x), not(y)) not(and(x, y)) -> or(not(x), not(y)) and(x, or(y, z)) -> or(and(x, y), and(x, z)) and(or(y, z), x) -> or(and(x, y), and(x, z)) S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: TRS: Rules: not(not(x)) -> x not(or(x, y)) -> and(not(x), not(y)) not(and(x, y)) -> or(not(x), not(y)) and(x, or(y, z)) -> or(and(x, y), and(x, z)) and(or(y, z), x) -> or(and(x, y), and(x, z)) Types: not :: or -> or or :: or -> or -> or and :: or -> or -> or hole_or1_0 :: or gen_or2_0 :: Nat -> or ---------------------------------------- (5) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: not, and They will be analysed ascendingly in the following order: and < not ---------------------------------------- (6) Obligation: popout

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

job log

popout

actions

all output return to Runti Compl Full Rewri 10127