details

property	value
status	complete
benchmark	p-21.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n056.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	1.98184609413 seconds
cpu usage	4.469367585
max memory	2.69422592E8

stage attributes

key	value
output-size	7383
starexec-result	WORST_CASE(Omega(n^1), O(n^1))

output

/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), O(n^1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, max(2, 2 + Arg_1) + nat(Arg_0) + nat(Arg_1)). (0) CpxIntTrs (1) Koat2 Proof [FINISHED, 334 ms] (2) BOUNDS(1, max(2, 2 + Arg_1) + nat(Arg_0) + nat(Arg_1)) (3) Loat Proof [FINISHED, 452 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f2(A, B, C) -> Com_1(f2(-(1) + A, B, C)) :|: A >= 31 f2(A, B, C) -> Com_1(f300(A, -(1) + B, C)) :|: 30 >= A f300(A, B, C) -> Com_1(f2(A, B, C)) :|: B >= 21 f300(A, B, C) -> Com_1(f1(A, B, D)) :|: 20 >= B f3(A, B, C) -> Com_1(f300(A, B, C)) :|: TRUE The start-symbols are:[f3_3] ---------------------------------------- (1) Koat2 Proof (FINISHED) YES( ?, 2+max([0, Arg_1])+max([0, Arg_0])+max([0, Arg_1]) {O(n)}) Initial Complexity Problem: Start: f3 Program_Vars: Arg_0, Arg_1, Arg_2 Temp_Vars: D Locations: f1, f2, f3, f300 Transitions: f2(Arg_0,Arg_1,Arg_2) -> f2(-1+Arg_0,Arg_1,Arg_2):|:21 <= Arg_1 && 31 <= Arg_0 f2(Arg_0,Arg_1,Arg_2) -> f300(Arg_0,-1+Arg_1,Arg_2):|:21 <= Arg_1 && Arg_0 <= 30 f3(Arg_0,Arg_1,Arg_2) -> f300(Arg_0,Arg_1,Arg_2):|: f300(Arg_0,Arg_1,Arg_2) -> f1(Arg_0,Arg_1,D):|:Arg_1 <= 20 f300(Arg_0,Arg_1,Arg_2) -> f2(Arg_0,Arg_1,Arg_2):|:21 <= Arg_1 Timebounds: Overall timebound: 2+max([0, Arg_1])+max([0, Arg_0])+max([0, Arg_1]) {O(n)} 0: f2->f2: max([0, Arg_0]) {O(n)} 1: f2->f300: max([0, Arg_1]) {O(n)} 4: f3->f300: 1 {O(1)} 2: f300->f2: max([0, Arg_1]) {O(n)} 3: f300->f1: 1 {O(1)} Costbounds: Overall costbound: 2+max([0, Arg_1])+max([0, Arg_0])+max([0, Arg_1]) {O(n)} 0: f2->f2: max([0, Arg_0]) {O(n)} 1: f2->f300: max([0, Arg_1]) {O(n)} 4: f3->f300: 1 {O(1)} 2: f300->f2: max([0, Arg_1]) {O(n)} 3: f300->f1: 1 {O(1)} Sizebounds: `Lower: popout

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job log

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actions

all output return to Compl Integ Trans Syste 26843