details

property	value
status	complete
benchmark	exmini.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n080.star.cs.uiowa.edu
space	SAS10

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	4.00626087189 seconds
cpu usage	6.746857523
max memory	3.3984512E8

stage attributes

key	value
output-size	11031
starexec-result	WORST_CASE(?, O(n^1))

output

/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, max(6 + -1 * Arg_0 + 2 * Arg_4 + -1 * Arg_6, 6)). (0) CpxIntTrs (1) Koat2 Proof [FINISHED, 2336 ms] (2) BOUNDS(1, max(6 + -1 * Arg_0 + 2 * Arg_4 + -1 * Arg_6, 6)) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: start(A, B, C, D, E, F, G, H) -> Com_1(stop(A, B, C, D, E, F, G, H)) :|: A >= 101 && B >= C && B <= C && D >= E && D <= E && F >= G && F <= G && H >= A && H <= A start(A, B, C, D, E, F, G, H) -> Com_1(stop(A, B, C, D, E, F, G, H)) :|: G >= E + 1 && B >= C && B <= C && D >= E && D <= E && F >= G && F <= G && H >= A && H <= A start(A, B, C, D, E, F, G, H) -> Com_1(lbl71(A, H, C, D - 1, E, 1 + H, G, F)) :|: E >= G && 100 >= A && B >= C && B <= C && D >= E && D <= E && F >= G && F <= G && H >= A && H <= A lbl71(A, B, C, D, E, F, G, H) -> Com_1(stop(A, B, C, D, E, F, G, H)) :|: A + G + E >= B + 102 + D && E >= 1 + D && 100 >= A && E >= G && 2 * D + 2 + B >= A + G + E && 100 >= B && F >= B + 1 && F <= B + 1 && H + B + 1 + D >= A + G + E && H + B + 1 + D <= A + G + E lbl71(A, B, C, D, E, F, G, H) -> Com_1(stop(A, B, C, D, E, F, G, H)) :|: B >= D && E >= 1 + D && 100 >= A && E >= G && 2 * D + 2 + B >= A + G + E && 100 >= B && F >= B + 1 && F <= B + 1 && H + B + 1 + D >= A + G + E && H + B + 1 + D <= A + G + E lbl71(A, B, C, D, E, F, G, H) -> Com_1(lbl71(A, H, C, D - 1, E, 1 + H, G, F)) :|: D >= B + 1 && 101 + B + D >= A + G + E && E >= 1 + D && 100 >= A && E >= G && 2 * D + 2 + B >= A + G + E && 100 >= B && F >= B + 1 && F <= B + 1 && H + B + 1 + D >= A + G + E && H + B + 1 + D <= A + G + E start0(A, B, C, D, E, F, G, H) -> Com_1(start(A, C, C, E, E, G, G, A)) :|: TRUE The start-symbols are:[start0_8] ---------------------------------------- (1) Koat2 Proof (FINISHED) YES( ?, max([6, 6+-(Arg_0)-Arg_6+2*Arg_4]) {O(n)}) Initial Complexity Problem: Start: start0 Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7 Temp_Vars: Locations: lbl71, start, start0, stop Transitions: lbl71(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl71(Arg_0,Arg_7,Arg_2,Arg_3-1,Arg_4,1+Arg_7,Arg_6,Arg_5):|:Arg_7 <= Arg_4 && Arg_7 <= 1+Arg_3 && Arg_6 <= Arg_4 && Arg_5 <= 1+Arg_1 && 1+Arg_1 <= Arg_5 && 1+Arg_3 <= Arg_4 && Arg_0 <= 100 && Arg_1+1 <= Arg_3 && Arg_0+Arg_6+Arg_4 <= 101+Arg_1+Arg_3 && 1+Arg_3 <= Arg_4 && Arg_0 <= 100 && Arg_6 <= Arg_4 && Arg_0+Arg_6+Arg_4 <= (2)*Arg_3+2+Arg_1 && Arg_1 <= 100 && Arg_5 <= Arg_1+1 && Arg_1+1 <= Arg_5 && Arg_7+Arg_1+1+Arg_3 <= Arg_0+Arg_6+Arg_4 && Arg_0+Arg_6+Arg_4 <= Arg_7+Arg_1+1+Arg_3 lbl71(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7 <= Arg_4 && Arg_7 <= 1+Arg_3 && Arg_6 <= Arg_4 && Arg_5 <= 1+Arg_1 && 1+Arg_1 <= Arg_5 && 1+Arg_3 <= Arg_4 && Arg_0 <= 100 && Arg_1+102+Arg_3 <= Arg_0+Arg_6+Arg_4 && 1+Arg_3 <= Arg_4 && Arg_0 <= 100 && Arg_6 <= Arg_4 && Arg_0+Arg_6+Arg_4 <= (2)*Arg_3+2+Arg_1 && Arg_1 <= 100 && Arg_5 <= Arg_1+1 && Arg_1+1 <= Arg_5 && Arg_7+Arg_1+1+Arg_3 <= Arg_0+Arg_6+Arg_4 && Arg_0+Arg_6+Arg_4 <= Arg_7+Arg_1+1+Arg_3 lbl71(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7 <= Arg_4 && Arg_7 <= 1+Arg_3 && Arg_6 <= Arg_4 && Arg_5 <= 1+Arg_1 && 1+Arg_1 <= Arg_5 && 1+Arg_3 <= Arg_4 && Arg_0 <= 100 && Arg_3 <= Arg_1 && 1+Arg_3 <= Arg_4 && Arg_0 <= 100 && Arg_6 <= Arg_4 && Arg_0+Arg_6+Arg_4 <= (2)*Arg_3+2+Arg_1 && Arg_1 <= 100 && Arg_5 <= Arg_1+1 && Arg_1+1 <= Arg_5 && Arg_7+Arg_1+1+Arg_3 <= Arg_0+Arg_6+Arg_4 && Arg_0+Arg_6+Arg_4 <= Arg_7+Arg_1+1+Arg_3 start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> lbl71(Arg_0,Arg_7,Arg_2,Arg_3-1,Arg_4,1+Arg_7,Arg_6,Arg_5):|:Arg_7 <= Arg_0 && Arg_0 <= Arg_7 && Arg_6 <= Arg_5 && Arg_5 <= Arg_6 && Arg_4 <= Arg_3 && Arg_3 <= Arg_4 && Arg_2 <= Arg_1 && Arg_1 <= Arg_2 && Arg_6 <= Arg_4 && Arg_0 <= 100 && Arg_1 <= Arg_2 && Arg_2 <= Arg_1 && Arg_3 <= Arg_4 && Arg_4 <= Arg_3 && Arg_5 <= Arg_6 && Arg_6 <= Arg_5 && Arg_7 <= Arg_0 && Arg_0 <= Arg_7 start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7 <= Arg_0 && Arg_0 <= Arg_7 && Arg_6 <= Arg_5 && Arg_5 <= Arg_6 && Arg_4 <= Arg_3 && Arg_3 <= Arg_4 && Arg_2 <= Arg_1 && Arg_1 <= Arg_2 && 101 <= Arg_0 && Arg_1 <= Arg_2 && Arg_2 <= Arg_1 && Arg_3 <= Arg_4 && Arg_4 <= Arg_3 && Arg_5 <= Arg_6 && Arg_6 <= Arg_5 && Arg_7 <= Arg_0 && Arg_0 <= Arg_7 start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7 <= Arg_0 && Arg_0 <= Arg_7 && Arg_6 <= Arg_5 && Arg_5 <= Arg_6 && Arg_4 <= Arg_3 && Arg_3 <= Arg_4 && Arg_2 <= Arg_1 && Arg_1 <= Arg_2 && Arg_4+1 <= Arg_6 && Arg_1 <= Arg_2 && Arg_2 <= Arg_1 && Arg_3 <= Arg_4 && Arg_4 <= Arg_3 && Arg_5 <= Arg_6 && Arg_6 <= Arg_5 && Arg_7 <= Arg_0 && Arg_0 <= Arg_7 start0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> start(Arg_0,Arg_2,Arg_2,Arg_4,Arg_4,Arg_6,Arg_6,Arg_0):|: Timebounds: Overall timebound: max([6, 6+-(Arg_0)-Arg_6+2*Arg_4]) {O(n)} 3: lbl71->stop: 1 {O(1)} 4: lbl71->stop: 1 {O(1)} 5: lbl71->lbl71: max([0, -(Arg_0)-Arg_6+2*Arg_4]) {O(n)} 0: start->stop: 1 {O(1)} 1: start->stop: 1 {O(1)} 2: start->lbl71: 1 {O(1)} 6: start0->start: 1 {O(1)} Costbounds: Overall costbound: max([6, 6+-(Arg_0)-Arg_6+2*Arg_4]) {O(n)} 3: lbl71->stop: 1 {O(1)} 4: lbl71->stop: 1 {O(1)} 5: lbl71->lbl71: max([0, -(Arg_0)-Arg_6+2*Arg_4]) {O(n)} 0: start->stop: 1 {O(1)} popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Compl Integ Trans Syste 26843