details

property	value
status	complete
benchmark	sipmabubble.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n059.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	2.66204 seconds
cpu usage	5.73735
user time	5.44961
system time	0.287739
max virtual memory	1.8616916E7
max residence set size	223036.0

stage attributes

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

output

5.65/2.61 WORST_CASE(Omega(n^2), O(n^2)) 5.65/2.62 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 5.65/2.62 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.65/2.62 5.65/2.62 5.65/2.62 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, n^2). 5.65/2.62 5.65/2.62 (0) CpxIntTrs 5.65/2.62 (1) Koat Proof [FINISHED, 219 ms] 5.65/2.62 (2) BOUNDS(1, n^2) 5.65/2.62 (3) Loat Proof [FINISHED, 920 ms] 5.65/2.62 (4) BOUNDS(n^2, INF) 5.65/2.62 5.65/2.62 5.65/2.62 ---------------------------------------- 5.65/2.62 5.65/2.62 (0) 5.65/2.62 Obligation: 5.65/2.62 Complexity Int TRS consisting of the following rules: 5.65/2.62 eval_sipmabubble_start(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb0_in(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.62 eval_sipmabubble_bb0_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_0(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.62 eval_sipmabubble_0(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_1(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.62 eval_sipmabubble_1(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_2(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.62 eval_sipmabubble_2(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_3(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_3(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_4(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_4(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_5(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_5(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_6(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_6(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb1_in(v_24, v_n, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_bb1_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb2_in(v_24, v_i_0, 0, v_n)) :|: v_i_0 >= 0 5.65/2.64 eval_sipmabubble_bb1_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb7_in(v_24, v_i_0, v_j_0, v_n)) :|: v_i_0 < 0 5.65/2.64 eval_sipmabubble_bb2_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb3_in(v_24, v_i_0, v_j_0, v_n)) :|: v_j_0 <= v_i_0 - 1 5.65/2.64 eval_sipmabubble_bb2_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb6_in(v_24, v_i_0, v_j_0, v_n)) :|: v_j_0 > v_i_0 - 1 5.65/2.64 eval_sipmabubble_bb3_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb4_in(v_24, v_i_0, v_j_0, v_n)) :|: nondef_0 > nondef_1 5.65/2.64 eval_sipmabubble_bb3_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb5_in(v_24, v_i_0, v_j_0, v_n)) :|: nondef_0 <= nondef_1 5.65/2.64 eval_sipmabubble_bb4_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb5_in(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_bb5_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb2_in(v_24, v_i_0, v_j_0 + 1, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_bb6_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_29(v_i_0 - 1, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_29(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_30(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_30(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_bb1_in(v_24, v_24, v_j_0, v_n)) :|: TRUE 5.65/2.64 eval_sipmabubble_bb7_in(v_24, v_i_0, v_j_0, v_n) -> Com_1(eval_sipmabubble_stop(v_24, v_i_0, v_j_0, v_n)) :|: TRUE 5.65/2.64 5.65/2.64 The start-symbols are:[eval_sipmabubble_start_4] 5.65/2.64 5.65/2.64 5.65/2.64 ---------------------------------------- 5.65/2.64 5.65/2.64 (1) Koat Proof (FINISHED) 5.65/2.64 YES(?, 653*ar_1 + 30*ar_1^2 + 636) 5.65/2.64 5.65/2.64 5.65/2.64 5.65/2.64 Initial complexity problem: 5.65/2.64 5.65/2.64 1: T: 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblestart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble0(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble0(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble1(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble1(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble2(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble3(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble3(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble4(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble4(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble5(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble5(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble6(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble6(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0, ar_3)) [ ar_0 >= 0 ] 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ] 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_2 + 1 ] 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb6in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= ar_0 ] 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2, ar_3)) [ e >= f + 1 ] 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2, ar_3)) [ f >= e ] 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble29(ar_0, ar_1, ar_2, ar_0 - 1)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble29(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubble30(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubble30(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblebb1in(ar_3, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: ?, Cost: 1) evalsipmabubblebb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2, ar_3)) 5.65/2.64 5.65/2.64 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ] 5.65/2.64 5.65/2.64 start location: koat_start popout

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all output return to Complexity_ITS 2019-03-21 04.46