details

property	value
status	complete
benchmark	cBench_set_color_ht.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	Sinn_2016

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	1.8350110054 seconds
cpu usage	3.10895015
max memory	3.14044416E8

stage attributes

key	value
output-size	118412
starexec-result	WORST_CASE(?, O(n^2))

output

/export/starexec/sandbox2/solver/bin/starexec_run_c_complexity /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^2)) proof of /export/starexec/sandbox2/output/output_files/bench.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). (0) CpxIntTrs (1) Koat Proof [FINISHED, 580 ms] (2) BOUNDS(1, n^2) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_set_color_ht_extracted_start(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb0_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: TRUE eval_set_color_ht_extracted_bb0_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb1_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_h)) :|: TRUE eval_set_color_ht_extracted_bb1_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb2_in(v_y.0 - 1, v_3, v_h, v_i.0, v_w, v_w, v_y.0)) :|: TRUE eval_set_color_ht_extracted_bb2_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb3_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: v_x.0 > 0 eval_set_color_ht_extracted_bb2_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb5_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: v_x.0 <= 0 eval_set_color_ht_extracted_bb3_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb4_in(v_0, 0, v_h, v_x.0, v_w, v_x.0, v_y.0)) :|: v_x.0 < 8 eval_set_color_ht_extracted_bb3_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb4_in(v_0, v_x.0 - 8, v_h, 8, v_w, v_x.0, v_y.0)) :|: v_x.0 >= 8 eval_set_color_ht_extracted_bb4_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb4_in(v_0, v_3, v_h, v_i.0 - 1, v_w, v_x.0, v_y.0)) :|: v_i.0 - 1 >= 0 eval_set_color_ht_extracted_bb4_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb2_in(v_0, v_3, v_h, v_i.0, v_w, v_3, v_y.0)) :|: v_i.0 - 1 < 0 eval_set_color_ht_extracted_bb5_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb6_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: v_0 <= 0 eval_set_color_ht_extracted_bb5_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb1_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_0)) :|: v_0 > 0 eval_set_color_ht_extracted_bb6_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_stop(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: TRUE The start-symbols are:[eval_set_color_ht_extracted_start_7] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 3*ar_1 + 57*ar_1*ar_4 + 57*ar_4 + 8) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalsetcolorhtextractedstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) evalsetcolorhtextractedbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) evalsetcolorhtextractedbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_0 - 1, ar_4, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= 1 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_3 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, 0, ar_3)) [ 7 >= ar_3 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 8, 8)) [ ar_3 >= 8 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1)) [ ar_6 >= 1 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_5, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 1 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 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) evalsetcolorhtextractedstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: 1, Cost: 1) evalsetcolorhtextractedbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) evalsetcolorhtextractedbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_0 - 1, ar_4, ar_4, ar_5, ar_6)) (Comp: ?, Cost: 1) evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= 1 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_3 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, 0, ar_3)) [ 7 >= ar_3 ] (Comp: ?, Cost: 1) evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 8, 8)) [ ar_3 >= 8 ] popout

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all output return to Compl C Integ Progr 85445