details

property	value
status	complete
benchmark	Ex6.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n020.star.cs.uiowa.edu
space	PLDI10

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.34278202057 seconds
cpu usage	5.221950443
max memory	3.18087168E8

stage attributes

key	value
output-size	18316
starexec-result	WORST_CASE(Omega(n^1), 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(Omega(n^1), 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 146 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 719 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: evalEx6start(A, B, C) -> Com_1(evalEx6entryin(A, B, C)) :|: TRUE evalEx6entryin(A, B, C) -> Com_1(evalEx6bb3in(B, A, C)) :|: TRUE evalEx6bb3in(A, B, C) -> Com_1(evalEx6bbin(A, B, C)) :|: C >= B + 1 evalEx6bb3in(A, B, C) -> Com_1(evalEx6returnin(A, B, C)) :|: B >= C evalEx6bbin(A, B, C) -> Com_1(evalEx6bb1in(A, B, C)) :|: A >= B + 1 evalEx6bbin(A, B, C) -> Com_1(evalEx6bb2in(A, B, C)) :|: B >= A evalEx6bb1in(A, B, C) -> Com_1(evalEx6bb3in(A, B + 1, C)) :|: TRUE evalEx6bb2in(A, B, C) -> Com_1(evalEx6bb3in(A + 1, B, C)) :|: TRUE evalEx6returnin(A, B, C) -> Com_1(evalEx6stop(A, B, C)) :|: TRUE The start-symbols are:[evalEx6start_3] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 6*ar_1 + 12*ar_2 + 6*ar_0 + 7) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalEx6start(ar_0, ar_1, ar_2) -> Com_1(evalEx6entryin(ar_0, ar_1, ar_2)) (Comp: ?, Cost: 1) evalEx6entryin(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb3in(ar_1, ar_0, ar_2)) (Comp: ?, Cost: 1) evalEx6bb3in(ar_0, ar_1, ar_2) -> Com_1(evalEx6bbin(ar_0, ar_1, ar_2)) [ ar_2 >= ar_1 + 1 ] (Comp: ?, Cost: 1) evalEx6bb3in(ar_0, ar_1, ar_2) -> Com_1(evalEx6returnin(ar_0, ar_1, ar_2)) [ ar_1 >= ar_2 ] (Comp: ?, Cost: 1) evalEx6bbin(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb1in(ar_0, ar_1, ar_2)) [ ar_0 >= ar_1 + 1 ] (Comp: ?, Cost: 1) evalEx6bbin(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb2in(ar_0, ar_1, ar_2)) [ ar_1 >= ar_0 ] (Comp: ?, Cost: 1) evalEx6bb1in(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb3in(ar_0, ar_1 + 1, ar_2)) (Comp: ?, Cost: 1) evalEx6bb2in(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb3in(ar_0 + 1, ar_1, ar_2)) (Comp: ?, Cost: 1) evalEx6returnin(ar_0, ar_1, ar_2) -> Com_1(evalEx6stop(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2) -> Com_1(evalEx6start(ar_0, ar_1, ar_2)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalEx6start(ar_0, ar_1, ar_2) -> Com_1(evalEx6entryin(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 1) evalEx6entryin(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb3in(ar_1, ar_0, ar_2)) (Comp: ?, Cost: 1) evalEx6bb3in(ar_0, ar_1, ar_2) -> Com_1(evalEx6bbin(ar_0, ar_1, ar_2)) [ ar_2 >= ar_1 + 1 ] (Comp: ?, Cost: 1) evalEx6bb3in(ar_0, ar_1, ar_2) -> Com_1(evalEx6returnin(ar_0, ar_1, ar_2)) [ ar_1 >= ar_2 ] (Comp: ?, Cost: 1) evalEx6bbin(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb1in(ar_0, ar_1, ar_2)) [ ar_0 >= ar_1 + 1 ] (Comp: ?, Cost: 1) evalEx6bbin(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb2in(ar_0, ar_1, ar_2)) [ ar_1 >= ar_0 ] (Comp: ?, Cost: 1) evalEx6bb1in(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb3in(ar_0, ar_1 + 1, ar_2)) (Comp: ?, Cost: 1) evalEx6bb2in(ar_0, ar_1, ar_2) -> Com_1(evalEx6bb3in(ar_0 + 1, ar_1, ar_2)) (Comp: ?, Cost: 1) evalEx6returnin(ar_0, ar_1, ar_2) -> Com_1(evalEx6stop(ar_0, ar_1, ar_2)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2) -> Com_1(evalEx6start(ar_0, ar_1, ar_2)) [ 0 <= 0 ] start location: koat_start 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