details

property	value
status	complete
benchmark	aaron2.c.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n037.star.cs.uiowa.edu
space	Flores-Montoya_16

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	9.27281808853 seconds
cpu usage	15.193987016
max memory	3.64724224E8

stage attributes

key	value
output-size	40622
starexec-result	WORST_CASE(Omega(n^1), O(n^1))

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^1), O(n^1)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, nat(2 + 6 * Arg_2 + -6 * Arg_4) + nat(3 + 3 * Arg_2 + -3 * Arg_4) + max(5, 6 + Arg_2 + -1 * Arg_4) + max(5 + 2 * Arg_2 + -2 * Arg_4, 4)). (0) CpxIntTrs (1) Koat2 Proof [FINISHED, 3561 ms] (2) BOUNDS(1, nat(2 + 6 * Arg_2 + -6 * Arg_4) + nat(3 + 3 * Arg_2 + -3 * Arg_4) + max(5, 6 + Arg_2 + -1 * Arg_4) + max(5 + 2 * Arg_2 + -2 * Arg_4, 4)) (3) Loat Proof [FINISHED, 7578 ms] (4) BOUNDS(n^1, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: eval_aaron2_start(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb0_in(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_bb0_in(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_0(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_0(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_1(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_1(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_2(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_2(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_3(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_3(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb1_in(v_x, v_y, v_3, v_tx, v_x, v_y)) :|: v_tx >= 0 eval_aaron2_3(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb5_in(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: v_tx < 0 eval_aaron2_bb1_in(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb5_in(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: v__01 < v__02 eval_aaron2_bb1_in(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb5_in(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: v_tx < 0 eval_aaron2_bb1_in(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb2_in(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: v__01 >= v__02 && v_tx >= 0 eval_aaron2_bb2_in(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_4(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_4(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_5(v__01, v__02, nondef_0, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_5(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb3_in(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: v_3 > 0 eval_aaron2_5(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb4_in(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: v_3 <= 0 eval_aaron2_bb3_in(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb1_in(v__01 - v_tx - 1, v__02, v_3, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_bb4_in(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_bb1_in(v__01, v__02 + v_tx + 1, v_3, v_tx, v_x, v_y)) :|: TRUE eval_aaron2_bb5_in(v__01, v__02, v_3, v_tx, v_x, v_y) -> Com_1(eval_aaron2_stop(v__01, v__02, v_3, v_tx, v_x, v_y)) :|: TRUE The start-symbols are:[eval_aaron2_start_6] ---------------------------------------- (1) Koat2 Proof (FINISHED) YES( ?, 4+max([0, 1+2*Arg_2+-2*Arg_4])+max([0, 1+3*Arg_2+-3*Arg_4])+max([0, 1+3*Arg_2+-3*Arg_4])+max([0, 1+Arg_2-Arg_4])+max([0, 1+Arg_2-Arg_4])+max([5, 6+Arg_2-Arg_4])+max([0, 1+Arg_2-Arg_4]) {O(n)}) Initial Complexity Problem: Start: evalaaron2start Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5 Temp_Vars: G Locations: evalaaron20, evalaaron21, evalaaron22, evalaaron23, evalaaron24, evalaaron25, evalaaron2bb0in, evalaaron2bb1in, evalaaron2bb2in, evalaaron2bb3in, evalaaron2bb4in, evalaaron2bb5in, evalaaron2start, evalaaron2stop Transitions: evalaaron20(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron21(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|: evalaaron21(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron22(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|: evalaaron22(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron23(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|: evalaaron23(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb1in(Arg_0,Arg_2,Arg_2,Arg_4,Arg_4,Arg_5):|:0 <= Arg_0 evalaaron23(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_0+1 <= 0 evalaaron24(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron25(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,G):|:Arg_4 <= Arg_3 && Arg_4 <= Arg_2 && Arg_4 <= Arg_1 && Arg_3 <= Arg_2 && Arg_3 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 evalaaron25(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4 <= Arg_3 && Arg_4 <= Arg_2 && Arg_4 <= Arg_1 && Arg_3 <= Arg_2 && Arg_3 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 && 1 <= Arg_5 evalaaron25(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4 <= Arg_3 && Arg_4 <= Arg_2 && Arg_4 <= Arg_1 && Arg_3 <= Arg_2 && Arg_3 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 && Arg_5 <= 0 evalaaron2bb0in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron20(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|: evalaaron2bb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb2in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4 <= Arg_3 && Arg_1 <= Arg_2 && 0 <= Arg_0 && Arg_3 <= Arg_1 && 0 <= Arg_0 evalaaron2bb1in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4 <= Arg_3 && Arg_1 <= Arg_2 && 0 <= Arg_0 && Arg_1+1 <= Arg_3 evalaaron2bb2in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron24(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4 <= Arg_3 && Arg_4 <= Arg_2 && Arg_4 <= Arg_1 && Arg_3 <= Arg_2 && Arg_3 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 evalaaron2bb3in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb1in(Arg_0,Arg_1-Arg_0-1,Arg_2,Arg_3,Arg_4,Arg_5):|:1 <= Arg_5 && 1 <= Arg_0+Arg_5 && Arg_4 <= Arg_3 && Arg_4 <= Arg_2 && Arg_4 <= Arg_1 && Arg_3 <= Arg_2 && Arg_3 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 evalaaron2bb4in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb1in(Arg_0,Arg_1,Arg_2,Arg_3+Arg_0+1,Arg_4,Arg_5):|:Arg_5 <= 0 && Arg_5 <= Arg_0 && Arg_4 <= Arg_3 && Arg_4 <= Arg_2 && Arg_4 <= Arg_1 && Arg_3 <= Arg_2 && Arg_3 <= Arg_1 && Arg_1 <= Arg_2 && 0 <= Arg_0 evalaaron2bb5in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|: evalaaron2start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> evalaaron2bb0in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|: Timebounds: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to Compl Integ Trans Syste 26843