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Complexity_ITS 2019-03-21 04.46 pair #429991210
details
property
value
status
complete
benchmark
07.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n148.star.cs.uiowa.edu
space
Beerendonk
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.71942 seconds
cpu usage
3.61048
user time
3.40053
system time
0.209948
max virtual memory
1.840722E7
max residence set size
219884.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(1))
output
3.43/1.69 WORST_CASE(?, O(1)) 3.56/1.69 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 3.56/1.69 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.56/1.69 3.56/1.69 3.56/1.69 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). 3.56/1.69 3.56/1.69 (0) CpxIntTrs 3.56/1.69 (1) Koat Proof [FINISHED, 6 ms] 3.56/1.69 (2) BOUNDS(1, 1) 3.56/1.69 3.56/1.69 3.56/1.69 ---------------------------------------- 3.56/1.69 3.56/1.69 (0) 3.56/1.69 Obligation: 3.56/1.69 Complexity Int TRS consisting of the following rules: 3.56/1.69 eval(A) -> Com_1(eval(-(2) + 2 * B)) :|: 2 * B >= 0 && A >= 1 + 2 * B && A <= 1 + 2 * B 3.56/1.69 start(A) -> Com_1(eval(A)) :|: TRUE 3.56/1.69 3.56/1.69 The start-symbols are:[start_1] 3.56/1.69 3.56/1.69 3.56/1.69 ---------------------------------------- 3.56/1.69 3.56/1.69 (1) Koat Proof (FINISHED) 3.56/1.69 YES(?, 2) 3.56/1.69 3.56/1.69 3.56/1.69 3.56/1.69 Initial complexity problem: 3.56/1.69 3.56/1.69 1: T: 3.56/1.69 3.56/1.69 (Comp: ?, Cost: 1) eval(ar_0) -> Com_1(eval(2*b - 2)) [ 2*b >= 0 /\ ar_0 = 2*b + 1 ] 3.56/1.69 3.56/1.69 (Comp: ?, Cost: 1) start(ar_0) -> Com_1(eval(ar_0)) 3.56/1.69 3.56/1.69 (Comp: 1, Cost: 0) koat_start(ar_0) -> Com_1(start(ar_0)) [ 0 <= 0 ] 3.56/1.69 3.56/1.69 start location: koat_start 3.56/1.69 3.56/1.69 leaf cost: 0 3.56/1.69 3.56/1.69 3.56/1.69 3.56/1.69 Repeatedly propagating knowledge in problem 1 produces the following problem: 3.56/1.69 3.56/1.69 2: T: 3.56/1.69 3.56/1.69 (Comp: 1, Cost: 1) eval(ar_0) -> Com_1(eval(2*b - 2)) [ 2*b >= 0 /\ ar_0 = 2*b + 1 ] 3.56/1.69 3.56/1.69 (Comp: 1, Cost: 1) start(ar_0) -> Com_1(eval(ar_0)) 3.56/1.69 3.56/1.69 (Comp: 1, Cost: 0) koat_start(ar_0) -> Com_1(start(ar_0)) [ 0 <= 0 ] 3.56/1.69 3.56/1.69 start location: koat_start 3.56/1.69 3.56/1.69 leaf cost: 0 3.56/1.69 3.56/1.69 3.56/1.69 3.56/1.69 Complexity upper bound 2 3.56/1.69 3.56/1.69 3.56/1.69 3.56/1.69 Time: 0.029 sec (SMT: 0.029 sec) 3.56/1.69 3.56/1.69 3.56/1.69 ---------------------------------------- 3.56/1.69 3.56/1.69 (2) 3.56/1.69 BOUNDS(1, 1) 3.59/1.71 EOF
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