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Runti Compl Inner Rewri 22807 pair #381904990
details
property
value
status
complete
benchmark
thiemann22.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
292.148505926 seconds
cpu usage
1080.36431727
max memory
6.724169728E9
stage attributes
key
value
output-size
9798
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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), 261 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), 102 ms] (14) 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: le(s(x), 0) -> false le(0, y) -> true le(s(x), s(y)) -> le(x, y) double(0) -> 0 double(s(x)) -> s(s(double(x))) log(0) -> logError log(s(x)) -> loop(s(x), s(0), 0) loop(x, s(y), z) -> if(le(x, s(y)), x, s(y), z) if(true, x, y, z) -> z if(false, x, y, z) -> loop(x, double(y), s(z)) 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: le(s(x), 0') -> false le(0', y) -> true le(s(x), s(y)) -> le(x, y) double(0') -> 0' double(s(x)) -> s(s(double(x))) log(0') -> logError log(s(x)) -> loop(s(x), s(0'), 0') loop(x, s(y), z) -> if(le(x, s(y)), x, s(y), z) if(true, x, y, z) -> z if(false, x, y, z) -> loop(x, double(y), s(z)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: Innermost TRS: Rules: le(s(x), 0') -> false le(0', y) -> true le(s(x), s(y)) -> le(x, y) double(0') -> 0' double(s(x)) -> s(s(double(x))) log(0') -> logError log(s(x)) -> loop(s(x), s(0'), 0') loop(x, s(y), z) -> if(le(x, s(y)), x, s(y), z) if(true, x, y, z) -> z if(false, x, y, z) -> loop(x, double(y), s(z)) Types:
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