details

property	value
status	complete
benchmark	perfectg.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n126.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	8.23026 seconds
cpu usage	13.355
user time	12.6712
system time	0.683778
max virtual memory	3.6437712E7
max residence set size	231132.0

stage attributes

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

output

13.27/8.18 WORST_CASE(?, O(n^2)) 13.27/8.19 proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat 13.27/8.19 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.27/8.19 13.27/8.19 13.27/8.19 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 13.27/8.19 13.27/8.19 (0) CpxIntTrs 13.27/8.19 (1) Koat Proof [FINISHED, 1215 ms] 13.27/8.19 (2) BOUNDS(1, n^2) 13.27/8.19 13.27/8.19 13.27/8.19 ---------------------------------------- 13.27/8.19 13.27/8.19 (0) 13.27/8.19 Obligation: 13.27/8.19 Complexity Int TRS consisting of the following rules: 13.27/8.19 eval_perfectg_start(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb0_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: TRUE 13.27/8.19 eval_perfectg_bb0_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_1(nondef_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: TRUE 13.27/8.19 eval_perfectg_1(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_2(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: TRUE 13.27/8.19 eval_perfectg_2(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_3(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: TRUE 13.27/8.19 eval_perfectg_3(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb2_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_0)) :|: v_x <= 1 13.27/8.19 eval_perfectg_3(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb1_in(v_0, v_2, v_8, v_x, v_x, v_y2_1, v_x, v_y3_2)) :|: v_x > 1 13.27/8.19 eval_perfectg_bb1_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb2_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_0)) :|: v_y1_0 - 1 >= 0 && v_y1_0 - 1 <= 0 13.27/8.19 eval_perfectg_bb1_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb3_in(v_0, v_y1_0 - 1, v_8, v_x, v_y1_0, v_x, v_y3_0, v_y3_2)) :|: v_y1_0 - 1 < 0 13.27/8.19 eval_perfectg_bb1_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb3_in(v_0, v_y1_0 - 1, v_8, v_x, v_y1_0, v_x, v_y3_0, v_y3_2)) :|: v_y1_0 - 1 > 0 13.27/8.19 eval_perfectg_bb2_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_stop(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: v_y3_2 < 0 13.27/8.19 eval_perfectg_bb2_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_stop(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: v_y3_2 > 0 13.27/8.19 eval_perfectg_bb2_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_stop(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: v_y3_2 >= 0 && v_y3_2 <= 0 13.27/8.19 eval_perfectg_bb3_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb4_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: v_y2_1 < v_2 13.27/8.19 eval_perfectg_bb3_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb5_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: v_y2_1 >= v_2 13.27/8.19 eval_perfectg_bb4_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_9(v_0, v_2, v_y3_0 - v_2, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: TRUE 13.27/8.19 eval_perfectg_9(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_10(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2)) :|: TRUE 13.27/8.19 eval_perfectg_10(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb1_in(v_0, v_2, v_8, v_x, v_2, v_y2_1, v_y3_0, v_y3_2)) :|: v_y2_1 < 0 13.27/8.19 eval_perfectg_10(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb1_in(v_0, v_2, v_8, v_x, v_2, v_y2_1, v_y3_0, v_y3_2)) :|: v_y2_1 > 0 13.27/8.19 eval_perfectg_10(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb1_in(v_0, v_2, v_8, v_x, v_2, v_y2_1, v_8, v_y3_2)) :|: v_y2_1 >= 0 && v_y2_1 <= 0 13.27/8.19 eval_perfectg_bb5_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1, v_y3_0, v_y3_2) -> Com_1(eval_perfectg_bb3_in(v_0, v_2, v_8, v_x, v_y1_0, v_y2_1 - v_2, v_y3_0, v_y3_2)) :|: TRUE 13.27/8.19 13.27/8.19 The start-symbols are:[eval_perfectg_start_8] 13.27/8.19 13.27/8.19 13.27/8.19 ---------------------------------------- 13.27/8.19 13.27/8.19 (1) Koat Proof (FINISHED) 13.27/8.19 YES(?, 8*ar_1^2 + 27*ar_1 + 14) 13.27/8.19 13.27/8.19 13.27/8.19 13.27/8.19 Initial complexity problem: 13.27/8.19 13.27/8.19 1: T: 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectg1(i, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectg1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectg2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectg2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectg3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectg3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb2in(ar_0, ar_1, ar_0, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 1 >= ar_1 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectg3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_2, ar_1, ar_1, ar_5, ar_6, ar_7)) [ ar_1 >= 2 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb2in(ar_0, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 = 1 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 1, ar_1, ar_7)) [ 0 >= ar_3 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 1, ar_1, ar_7)) [ ar_3 >= 2 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_2 + 1 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 1 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 = 0 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 >= ar_6 + 1 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= ar_5 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectg9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_4 - ar_5)) 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectg9(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectg10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectg10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_2, ar_5, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 + 1 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectg10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_2, ar_5, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectg10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb1in(ar_0, ar_1, ar_2, ar_5, ar_7, ar_5, ar_6, ar_7)) [ ar_6 = 0 ] 13.27/8.19 13.27/8.19 (Comp: ?, Cost: 1) evalperfectgbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - ar_5, ar_7)) 13.27/8.19 13.27/8.19 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalperfectgstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ] 13.27/8.19 13.27/8.19 start location: koat_start 13.27/8.19 13.27/8.19 leaf cost: 0 13.27/8.19 13.27/8.19 13.27/8.19 popout

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all output return to Complexity_ITS 2019-03-21 04.46