Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Complexity_ITS 2019-03-21 04.46 pair #429990876
details
property
value
status
complete
benchmark
fuhs-inflasso.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n127.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
2.18305 seconds
cpu usage
4.40114
user time
4.1376
system time
0.263548
max virtual memory
1.8419244E7
max residence set size
221812.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^2), O(n^2))
output
3.91/2.15 WORST_CASE(Omega(n^2), O(n^2)) 3.91/2.16 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 3.91/2.16 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.91/2.16 3.91/2.16 3.91/2.16 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, max(3, 1 + 2 * Arg_2) + max(2, 2 * Arg_2)^2). 3.91/2.16 3.91/2.16 (0) CpxIntTrs 3.91/2.16 (1) Koat2 Proof [FINISHED, 438 ms] 3.91/2.16 (2) BOUNDS(1, max(3, 1 + 2 * Arg_2) + max(2, 2 * Arg_2)^2) 3.91/2.16 (3) Loat Proof [FINISHED, 437 ms] 3.91/2.16 (4) BOUNDS(n^2, INF) 3.91/2.16 3.91/2.16 3.91/2.16 ---------------------------------------- 3.91/2.16 3.91/2.16 (0) 3.91/2.16 Obligation: 3.91/2.16 Complexity Int TRS consisting of the following rules: 3.91/2.16 f4(A, B, C) -> Com_1(f4(A, B + 1, C)) :|: A >= B + 1 3.91/2.16 f4(A, B, C) -> Com_1(f4(A + 1, 0, C)) :|: C >= A + 2 && B >= A 3.91/2.16 f0(A, B, C) -> Com_1(f4(0, 0, C)) :|: C >= 1 3.91/2.16 3.91/2.16 The start-symbols are:[f0_3] 3.91/2.16 3.91/2.16 3.91/2.16 ---------------------------------------- 3.91/2.16 3.91/2.16 (1) Koat2 Proof (FINISHED) 3.91/2.16 YES( ?, 1+max([2, 2*Arg_2])*max([2, 2*Arg_2])+max([2, 2*Arg_2]) {O(n^2)}) 3.91/2.16 3.91/2.16 3.91/2.16 3.91/2.16 Initial Complexity Problem: 3.91/2.16 3.91/2.16 Start: f0 3.91/2.16 3.91/2.16 Program_Vars: Arg_0, Arg_1, Arg_2 3.91/2.16 3.91/2.16 Temp_Vars: 3.91/2.16 3.91/2.16 Locations: f0, f4 3.91/2.16 3.91/2.16 Transitions: 3.91/2.16 3.91/2.16 f0(Arg_0,Arg_1,Arg_2) -> f4(0,0,Arg_2):|:1 <= Arg_2 3.91/2.16 3.91/2.16 f4(Arg_0,Arg_1,Arg_2) -> f4(Arg_0,Arg_1+1,Arg_2):|:1 <= Arg_2 && 1 <= Arg_1+Arg_2 && 1+Arg_1 <= Arg_2 && 1 <= Arg_0+Arg_2 && 1+Arg_0 <= Arg_2 && Arg_1 <= Arg_0 && 0 <= Arg_1 && 0 <= Arg_0+Arg_1 && 0 <= Arg_0 && Arg_1+1 <= Arg_0 3.91/2.16 3.91/2.16 f4(Arg_0,Arg_1,Arg_2) -> f4(Arg_0+1,0,Arg_2):|:1 <= Arg_2 && 1 <= Arg_1+Arg_2 && 1+Arg_1 <= Arg_2 && 1 <= Arg_0+Arg_2 && 1+Arg_0 <= Arg_2 && Arg_1 <= Arg_0 && 0 <= Arg_1 && 0 <= Arg_0+Arg_1 && 0 <= Arg_0 && Arg_0+2 <= Arg_2 && Arg_0 <= Arg_1 3.91/2.16 3.91/2.16 3.91/2.16 3.91/2.16 Timebounds: 3.91/2.16 3.91/2.16 Overall timebound: 1+max([2, 2*Arg_2])*max([2, 2*Arg_2])+max([2, 2*Arg_2]) {O(n^2)} 3.91/2.16 3.91/2.16 2: f0->f4: 1 {O(1)} 3.91/2.16 3.91/2.16 0: f4->f4: max([2, 2*Arg_2])*max([2, 2*Arg_2]) {O(n^2)} 3.91/2.16 3.91/2.16 1: f4->f4: max([2, 2*Arg_2]) {O(n)} 3.91/2.16 3.91/2.16 3.91/2.16 3.91/2.16 Costbounds: 3.91/2.16 3.91/2.16 Overall costbound: 1+max([2, 2*Arg_2])*max([2, 2*Arg_2])+max([2, 2*Arg_2]) {O(n^2)} 3.91/2.16 3.91/2.16 2: f0->f4: 1 {O(1)} 3.91/2.16 3.91/2.16 0: f4->f4: max([2, 2*Arg_2])*max([2, 2*Arg_2]) {O(n^2)} 3.91/2.16 3.91/2.16 1: f4->f4: max([2, 2*Arg_2]) {O(n)} 3.91/2.16 3.91/2.16 3.91/2.16 3.91/2.16 Sizebounds: 3.91/2.16 3.91/2.16 `Lower: 3.91/2.16 3.91/2.16 2: f0->f4, Arg_0: 0 {O(1)} 3.91/2.16 3.91/2.16 2: f0->f4, Arg_1: 0 {O(1)} 3.91/2.16 3.91/2.16 2: f0->f4, Arg_2: 1 {O(1)} 3.91/2.16 3.91/2.16 0: f4->f4, Arg_0: 1 {O(1)} 3.91/2.16 3.91/2.16 0: f4->f4, Arg_1: 1 {O(1)} 3.91/2.16 3.91/2.16 0: f4->f4, Arg_2: 2 {O(1)} 3.91/2.16 3.91/2.16 1: f4->f4, Arg_0: 1 {O(1)} 3.91/2.16 3.91/2.16 1: f4->f4, Arg_1: 0 {O(1)} 3.91/2.16 3.91/2.16 1: f4->f4, Arg_2: 2 {O(1)} 3.91/2.16 3.91/2.16 `Upper:
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