details

property	value
status	complete
benchmark	realselect.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n057.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.37724614143 seconds
cpu usage	5.361857041
max memory	3.54189312E8

stage attributes

key	value
output-size	68413
starexec-result	WORST_CASE(Omega(n^2), O(n^2))

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^2), O(n^2)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 228 ms] (2) BOUNDS(1, n^2) (3) Loat Proof [FINISHED, 741 ms] (4) BOUNDS(n^2, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_realselect_start(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb0_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_bb0_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_0(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_0(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_1(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_1(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_2(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_2(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_3(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_3(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_4(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_4(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_5(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_5(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_6(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_6(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb1_in(v_2, v_21, v_array_size, 0, v_j_0_sink)) :|: TRUE eval_realselect_bb1_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb2_in(v_2, v_21, v_array_size, v_i_0, v_i_0)) :|: v_i_0 < v_array_size - 1 eval_realselect_bb1_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb5_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: v_i_0 >= v_array_size - 1 eval_realselect_bb2_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb3_in(v_j_0_sink + 1, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: v_j_0_sink + 1 < v_array_size eval_realselect_bb2_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb4_in(v_j_0_sink + 1, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: v_j_0_sink + 1 >= v_array_size eval_realselect_bb3_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb2_in(v_2, v_21, v_array_size, v_i_0, v_2)) :|: nondef_0 < nondef_1 eval_realselect_bb3_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb2_in(v_2, v_21, v_array_size, v_i_0, v_2)) :|: nondef_0 >= nondef_1 eval_realselect_bb4_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_19(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_19(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_20(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_20(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_27(v_2, v_i_0 + 1, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_27(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_28(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE eval_realselect_28(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_bb1_in(v_2, v_21, v_array_size, v_21, v_j_0_sink)) :|: TRUE eval_realselect_bb5_in(v_2, v_21, v_array_size, v_i_0, v_j_0_sink) -> Com_1(eval_realselect_stop(v_2, v_21, v_array_size, v_i_0, v_j_0_sink)) :|: TRUE The start-symbols are:[eval_realselect_start_5] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 37*ar_1 + 21*ar_1^2 + 13) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalrealselectstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselectbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect0(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect1(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect2(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect3(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect4(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect5(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect5(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect6(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect6(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb1in(0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselectbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb2in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_1 >= ar_0 + 2 ] (Comp: ?, Cost: 1) evalrealselectbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 + 1 >= ar_1 ] (Comp: ?, Cost: 1) evalrealselectbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb3in(ar_0, ar_1, ar_2, ar_2 + 1, ar_4)) [ ar_1 >= ar_2 + 2 ] (Comp: ?, Cost: 1) evalrealselectbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb4in(ar_0, ar_1, ar_2, ar_2 + 1, ar_4)) [ ar_2 + 1 >= ar_1 ] (Comp: ?, Cost: 1) evalrealselectbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb2in(ar_0, ar_1, ar_3, ar_3, ar_4)) [ f >= g + 1 ] (Comp: ?, Cost: 1) evalrealselectbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb2in(ar_0, ar_1, ar_3, ar_3, ar_4)) [ g >= f ] (Comp: ?, Cost: 1) evalrealselectbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect19(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect19(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect20(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect20(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect27(ar_0, ar_1, ar_2, ar_3, ar_0 + 1)) (Comp: ?, Cost: 1) evalrealselect27(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselect28(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalrealselect28(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrealselectbb1in(ar_4, ar_1, ar_2, ar_3, ar_4)) popout

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actions

all output return to Compl Integ Trans Syste 26843