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Compl Integ Trans Syste 26843 pair #381744439
details
property
value
status
complete
benchmark
wcet0.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n090.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
3.83171415329 seconds
cpu usage
8.164680352
max memory
3.12713216E8
stage attributes
key
value
output-size
39829
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1).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, 216 ms] (2) BOUNDS(1, n^1) (3) Loat Proof [FINISHED, 2123 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_wcet0_start(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb0_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE eval_wcet0_bb0_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_0(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE eval_wcet0_0(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_1(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE eval_wcet0_1(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_2(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE eval_wcet0_2(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_3(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE eval_wcet0_3(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb1_in(v_1, v_n, 0, v_j_3, v_n)) :|: v_n >= 1 eval_wcet0_3(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb5_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: v_n < 1 eval_wcet0_bb1_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_4(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE eval_wcet0_4(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_5(nondef_0, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE eval_wcet0_5(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb2_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: v_1 > 0 eval_wcet0_5(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb3_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: v_1 <= 0 eval_wcet0_bb2_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb4_in(v_1, v_i_0, v_j_0, 0, v_n)) :|: v_j_0 + 1 >= v_n eval_wcet0_bb2_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb4_in(v_1, v_i_0, v_j_0, v_j_0 + 1, v_n)) :|: v_j_0 + 1 < v_n eval_wcet0_bb3_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb4_in(v_1, v_i_0, v_j_0, 0, v_n)) :|: v_j_0 - 1 <= -(v_n) eval_wcet0_bb3_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb4_in(v_1, v_i_0, v_j_0, v_j_0 - 1, v_n)) :|: v_j_0 - 1 > -(v_n) eval_wcet0_bb4_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb1_in(v_1, v_i_0 - 1, v_j_3, v_j_3, v_n)) :|: v_i_0 - 1 > 0 eval_wcet0_bb4_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_bb5_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: v_i_0 - 1 <= 0 eval_wcet0_bb5_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet0_stop(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE The start-symbols are:[eval_wcet0_start_5] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 9*ar_0 + 19) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalwcet0start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalwcet0bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet00(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalwcet00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet01(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalwcet01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet02(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalwcet02(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet03(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalwcet03(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb1in(ar_0, ar_0, 0, ar_3, ar_4)) [ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalwcet03(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalwcet0bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet04(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalwcet04(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet05(ar_0, ar_1, ar_2, f, ar_4)) (Comp: ?, Cost: 1) evalwcet05(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ] (Comp: ?, Cost: 1) evalwcet05(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ] (Comp: ?, Cost: 1) evalwcet0bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb4in(ar_0, ar_1, ar_2, ar_3, 0)) [ ar_2 + 1 >= ar_0 ] (Comp: ?, Cost: 1) evalwcet0bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb4in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1)) [ ar_0 >= ar_2 + 2 ] (Comp: ?, Cost: 1) evalwcet0bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb4in(ar_0, ar_1, ar_2, ar_3, 0)) [ 1 >= ar_0 + ar_2 ] (Comp: ?, Cost: 1) evalwcet0bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb4in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1)) [ ar_2 + ar_0 >= 2 ] (Comp: ?, Cost: 1) evalwcet0bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb1in(ar_0, ar_1 - 1, ar_4, ar_3, ar_4)) [ ar_1 >= 2 ] (Comp: ?, Cost: 1) evalwcet0bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 1 >= ar_1 ] (Comp: ?, Cost: 1) evalwcet0bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0stop(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet0start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] start location: koat_start leaf cost: 0
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