Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Complexity_ITS 2019-03-21 04.46 pair #429990602
details
property
value
status
complete
benchmark
dummy.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n063.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.80625 seconds
cpu usage
3.76783
user time
3.51846
system time
0.249371
max virtual memory
1.856662E7
max residence set size
218920.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
3.70/1.75 WORST_CASE(NON_POLY, ?) 3.70/1.76 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 3.70/1.76 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.70/1.76 3.70/1.76 3.70/1.76 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). 3.70/1.76 3.70/1.76 (0) CpxIntTrs 3.70/1.76 (1) Loat Proof [FINISHED, 122 ms] 3.70/1.76 (2) BOUNDS(INF, INF) 3.70/1.76 3.70/1.76 3.70/1.76 ---------------------------------------- 3.70/1.76 3.70/1.76 (0) 3.70/1.76 Obligation: 3.70/1.76 Complexity Int TRS consisting of the following rules: 3.70/1.76 f0(A, B) -> Com_1(f1(A, B)) :|: A >= 1 && 0 >= B + 1 3.70/1.76 f1(A, B) -> Com_1(f1(A - B, B)) :|: A >= B + 1 && 0 >= B + 1 3.70/1.76 3.70/1.76 The start-symbols are:[f0_2] 3.70/1.76 3.70/1.76 3.70/1.76 ---------------------------------------- 3.70/1.76 3.70/1.76 (1) Loat Proof (FINISHED) 3.70/1.76 3.70/1.76 3.70/1.76 ### Pre-processing the ITS problem ### 3.70/1.76 3.70/1.76 3.70/1.76 3.70/1.76 Initial linear ITS problem 3.70/1.76 3.70/1.76 Start location: f0 3.70/1.76 3.70/1.76 0: f0 -> f1 : [ A>=1 && 0>=1+B ], cost: 1 3.70/1.76 3.70/1.76 1: f1 -> f1 : A'=A-B, [ A>=1+B && 0>=1+B ], cost: 1 3.70/1.76 3.70/1.76 3.70/1.76 3.70/1.76 ### Simplification by acceleration and chaining ### 3.70/1.76 3.70/1.76 3.70/1.76 3.70/1.76 Accelerating simple loops of location 1. 3.70/1.76 3.70/1.76 Accelerating the following rules: 3.70/1.76 3.70/1.76 1: f1 -> f1 : A'=A-B, [ A>=1+B && 0>=1+B ], cost: 1 3.70/1.78 3.70/1.78 3.70/1.78 3.70/1.78 Accelerated rule 1 with NONTERM, yielding the new rule 2. 3.70/1.78 3.70/1.78 Removing the simple loops: 1. 3.70/1.78 3.70/1.78 3.70/1.78 3.70/1.78 Accelerated all simple loops using metering functions (where possible): 3.70/1.78 3.70/1.78 Start location: f0 3.70/1.78 3.70/1.78 0: f0 -> f1 : [ A>=1 && 0>=1+B ], cost: 1 3.70/1.78 3.70/1.78 2: f1 -> [2] : [ A>=1+B && 0>=1+B ], cost: INF 3.70/1.78 3.70/1.78 3.70/1.78 3.70/1.78 Chained accelerated rules (with incoming rules): 3.70/1.78 3.70/1.78 Start location: f0 3.70/1.78 3.70/1.78 0: f0 -> f1 : [ A>=1 && 0>=1+B ], cost: 1 3.70/1.78 3.70/1.78 3: f0 -> [2] : [ A>=1 && 0>=1+B && A>=1+B ], cost: INF 3.70/1.78 3.70/1.78 3.70/1.78 3.70/1.78 Removed unreachable locations (and leaf rules with constant cost): 3.70/1.78 3.70/1.78 Start location: f0 3.70/1.78 3.70/1.78 3: f0 -> [2] : [ A>=1 && 0>=1+B && A>=1+B ], cost: INF 3.70/1.78 3.70/1.78 3.70/1.78 3.70/1.78 ### Computing asymptotic complexity ### 3.70/1.78 3.70/1.78 3.70/1.78 3.70/1.78 Fully simplified ITS problem 3.70/1.78 3.70/1.78 Start location: f0 3.70/1.78 3.70/1.78 3: f0 -> [2] : [ A>=1 && 0>=1+B && A>=1+B ], cost: INF 3.70/1.78 3.70/1.78 3.70/1.78
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Complexity_ITS 2019-03-21 04.46