details

property	value
status	complete
benchmark	terminatorbubble.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n049.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	3.10651493073 seconds
cpu usage	7.231377664
max memory	3.76311808E8

stage attributes

key	value
output-size	115378
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, n^2).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, 406 ms] (2) BOUNDS(1, n^2) (3) Loat Proof [FINISHED, 1418 ms] (4) BOUNDS(n^2, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_terminatorbubble_start(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb0_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE eval_terminatorbubble_bb0_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_0(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE eval_terminatorbubble_0(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_1(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE eval_terminatorbubble_1(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_2(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE eval_terminatorbubble_2(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_3(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE eval_terminatorbubble_3(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb1_in(v_11, v_size, v_j_0, v_size, v_t_0)) :|: v_size > 0 eval_terminatorbubble_3(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_size <= 0 eval_terminatorbubble_bb1_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_b_0 < 1 eval_terminatorbubble_bb1_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_size <= 0 eval_terminatorbubble_bb1_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b_0, 1, v_size, 0)) :|: v_b_0 >= 1 && v_size > 0 eval_terminatorbubble_bb2_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb3_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 <= v_b_0 - 1 eval_terminatorbubble_bb2_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb6_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 > v_b_0 - 1 eval_terminatorbubble_bb3_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 < 1 eval_terminatorbubble_bb3_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 > v_size eval_terminatorbubble_bb3_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb4_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 >= 1 && v_j_0 <= v_size eval_terminatorbubble_bb4_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 + 1 < 1 eval_terminatorbubble_bb4_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 + 1 > v_size eval_terminatorbubble_bb4_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb5_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 + 1 >= 1 && v_j_0 + 1 <= v_size eval_terminatorbubble_bb5_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_9(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE eval_terminatorbubble_9(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_10(nondef_0, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE eval_terminatorbubble_10(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b_0, v_j_0 + 1, v_size, v_j_0)) :|: v_11 > 0 eval_terminatorbubble_10(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b_0, v_j_0 + 1, v_size, v_t_0)) :|: v_11 <= 0 eval_terminatorbubble_bb6_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: 1 > v_t_0 eval_terminatorbubble_bb6_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_t_0 >= v_b_0 eval_terminatorbubble_bb6_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb1_in(v_11, v_t_0, v_j_0, v_size, v_t_0)) :|: 1 <= v_t_0 && v_t_0 < v_b_0 eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_stop(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE The start-symbols are:[eval_terminatorbubble_start_5] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 32*ar_0^2 + 72*ar_0 + 21) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4)) (Comp: ?, Cost: 1) evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ] (Comp: ?, Cost: 1) evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ] (Comp: ?, Cost: 1) evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ] (Comp: ?, Cost: 1) evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 ] (Comp: ?, Cost: 1) evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ] popout

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actions

all output return to Compl Integ Trans Syste 26843