details

property	value
status	complete
benchmark	tpa5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	Secret_05_TRS

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	292.25345397 seconds
cpu usage	1159.14207307
max memory	6.37315072E9

stage attributes

key	value
output-size	9314
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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), 291 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), 69 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 115 ms] (16) typed CpxTrs ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: -(x, 0) -> x -(s(x), s(y)) -> -(x, y) min(x, 0) -> 0 min(0, y) -> 0 min(s(x), s(y)) -> s(min(x, y)) twice(0) -> 0 twice(s(x)) -> s(s(twice(x))) f(s(x), s(y)) -> f(-(y, min(x, y)), s(twice(min(x, y)))) f(s(x), s(y)) -> f(-(x, min(x, y)), s(twice(min(x, y)))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: -(x, 0') -> x -(s(x), s(y)) -> -(x, y) min(x, 0') -> 0' min(0', y) -> 0' min(s(x), s(y)) -> s(min(x, y)) twice(0') -> 0' twice(s(x)) -> s(s(twice(x))) f(s(x), s(y)) -> f(-(y, min(x, y)), s(twice(min(x, y)))) f(s(x), s(y)) -> f(-(x, min(x, y)), s(twice(min(x, y)))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: Innermost TRS: Rules: -(x, 0') -> x -(s(x), s(y)) -> -(x, y) min(x, 0') -> 0' min(0', y) -> 0' min(s(x), s(y)) -> s(min(x, y)) twice(0') -> 0' twice(s(x)) -> s(s(twice(x))) f(s(x), s(y)) -> f(-(y, min(x, y)), s(twice(min(x, y)))) f(s(x), s(y)) -> f(-(x, min(x, y)), s(twice(min(x, y)))) Types: - :: 0':s -> 0':s -> 0':s popout

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actions

all output return to Runti Compl Inner Rewri 22807