details

property	value
status	complete
benchmark	ex2.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n084.star.cs.uiowa.edu
space	Rank

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	3.03174996376 seconds
cpu usage	6.953286286
max memory	3.52350208E8

stage attributes

key	value
output-size	41599
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 438 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 1349 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: evalfstart(A, B, C, D) -> Com_1(evalfentryin(A, B, C, D)) :|: TRUE evalfentryin(A, B, C, D) -> Com_1(evalfbb5in(B, B, C, D)) :|: TRUE evalfbb5in(A, B, C, D) -> Com_1(evalfbbin(A, B, C, D)) :|: B >= 2 evalfbb5in(A, B, C, D) -> Com_1(evalfreturnin(A, B, C, D)) :|: 1 >= B evalfbbin(A, B, C, D) -> Com_1(evalfbb2in(A, B, B - 1, A + B - 1)) :|: TRUE evalfbb2in(A, B, C, D) -> Com_1(evalfbb4in(A, B, C, D)) :|: C >= D + 1 evalfbb2in(A, B, C, D) -> Com_1(evalfbb3in(A, B, C, D)) :|: D >= C evalfbb3in(A, B, C, D) -> Com_1(evalfbb1in(A, B, C, D)) :|: 0 >= E + 1 evalfbb3in(A, B, C, D) -> Com_1(evalfbb1in(A, B, C, D)) :|: E >= 1 evalfbb3in(A, B, C, D) -> Com_1(evalfbb4in(A, B, C, D)) :|: TRUE evalfbb1in(A, B, C, D) -> Com_1(evalfbb2in(A, B, C, D - 1)) :|: TRUE evalfbb4in(A, B, C, D) -> Com_1(evalfbb5in(D - C + 1, C - 1, C, D)) :|: TRUE evalfreturnin(A, B, C, D) -> Com_1(evalfstop(A, B, C, D)) :|: TRUE The start-symbols are:[evalfstart_4] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 32*ar_1 + 14) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalfstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb5in(ar_1, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 2 ] (Comp: ?, Cost: 1) evalfbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_1 ] (Comp: ?, Cost: 1) evalfbbin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb2in(ar_0, ar_1, ar_1 - 1, ar_0 + ar_1 - 1)) (Comp: ?, Cost: 1) evalfbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= ar_3 + 1 ] (Comp: ?, Cost: 1) evalfbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_2 ] (Comp: ?, Cost: 1) evalfbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= e + 1 ] (Comp: ?, Cost: 1) evalfbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3)) [ e >= 1 ] (Comp: ?, Cost: 1) evalfbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb4in(ar_0, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb2in(ar_0, ar_1, ar_2, ar_3 - 1)) (Comp: ?, Cost: 1) evalfbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb5in(ar_3 - ar_2 + 1, ar_2 - 1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3)) [ 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) evalfstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3)) (Comp: 1, Cost: 1) evalfentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb5in(ar_1, ar_1, ar_2, ar_3)) (Comp: ?, Cost: 1) evalfbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 2 ] (Comp: ?, Cost: 1) evalfbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_1 ] (Comp: ?, Cost: 1) evalfbbin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalfbb2in(ar_0, ar_1, ar_1 - 1, ar_0 + ar_1 - 1)) popout

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actions

all output return to Compl Integ Trans Syste 26843