Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Runti Compl Full Rewri 10127 pair #381903071
details
property
value
status
complete
benchmark
thiemann19.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
AProVE_07
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
292.772043943 seconds
cpu usage
1133.62422114
max memory
1.4531448832E10
stage attributes
key
value
output-size
8052
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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), 306 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), 88 ms] (14) 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: 1024 -> 1024_1(0) 1024_1(x) -> if(lt(x, 10), x) if(true, x) -> double(1024_1(s(x))) if(false, x) -> s(0) lt(0, s(y)) -> true lt(x, 0) -> false lt(s(x), s(y)) -> lt(x, y) double(0) -> 0 double(s(x)) -> s(s(double(x))) 10 -> double(s(double(s(s(0))))) 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: 1024' -> 1024_1(0') 1024_1(x) -> if(lt(x, 10'), x) if(true, x) -> double(1024_1(s(x))) if(false, x) -> s(0') lt(0', s(y)) -> true lt(x, 0') -> false lt(s(x), s(y)) -> lt(x, y) double(0') -> 0' double(s(x)) -> s(s(double(x))) 10' -> double(s(double(s(s(0'))))) S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: TRS: Rules: 1024' -> 1024_1(0') 1024_1(x) -> if(lt(x, 10'), x) if(true, x) -> double(1024_1(s(x))) if(false, x) -> s(0') lt(0', s(y)) -> true lt(x, 0') -> false lt(s(x), s(y)) -> lt(x, y) double(0') -> 0' double(s(x)) -> s(s(double(x))) 10' -> double(s(double(s(s(0'))))) Types:
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Runti Compl Full Rewri 10127